Last update: Wed Nov 8 11:54:56 MST 2023
Volume 161, Number 1, January 15, 1992Ingrid Daubechies and Jeffrey C. Lagarias Sets of matrices all infinite products of which converge . . . . . . . . . . . 227--263
Barbu C. Kestenband The correlations with identity companion automorphism, of finite Desarguesian planes . . . . . . . . . . . . . . . . . 1--31 R. Sridhar and S. N. Kabadi On pseudomatroid property of matrices 33--43 George Visick A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product . . . . . . . . . . . . . . . . 45--68 Jeremy Haefner and Trae Holcomb The Picard group of a structural matrix algebra . . . . . . . . . . . . . . . . 69--101 B. P. Duggal Range kernel orthogonality of derivations . . . . . . . . . . . . . . 103--108 Gorazd Le\vsnjak Semigroups of EP linear transformations 109--118 David A. Yopp and Richard D. Hill On the cone of completely positive linear transformations . . . . . . . . . 119--129 J. Maroulas and P. Psarrakos On factorization of matrix polynomials 131--139 LeRoy B. Beasley and Sang-Gu Lee Linear operators preserving multivariate majorization . . . . . . . . . . . . . . 141--159 Miroslav Fiedler and Thomas L. Markham A factorization of totally nonsingular matrices over a ring with identity . . . 161--171 Alan J. Hoffman Gersgorin variations I: on a theme of Pupkov and Solov'ev . . . . . . . . . . 173--177 Frank Uhlig Challenges in Matrix Theory 2000 . . . . 179 Bruno Codenotti Matrix rigidity . . . . . . . . . . . . 181--192 Bruno Codenotti and Gianna Del Corso and Giovanni Manzini Matrix rank and communication complexity 193--200 Anonymous Index . . . . . . . . . . . . . . . . . 201
E. Marques de Sá and Yu-Lin Zhang Ranks of submatrices and the off-diagonal indices of a square matrix 1--14 E. Marques de Sá and Yu-Lin Zhang The number of Kronecker indices of square pencils of a special kind . . . . 15--21 Bo-Ying Wang and Xiuping Zhang and Fuzhen Zhang On the Hadamard product of inverse $M$-matrices . . . . . . . . . . . . . . 23--31 Mark L. Thornburg and Richard D. Hill Order intervals of matrices . . . . . . 33--46 Robert E. Hartwig and K. M. Prasad Creation and annihilation in matrix theory . . . . . . . . . . . . . . . . . 47--65 R. Drnov\vsek and L. Livshits and G. MacDonald and B. Mathes and H. Radjavi and P. \vSemrl On transitive linear semigroups . . . . 67--86 Che-Man Cheng and Chi-Kwong Li On the Hu-Hurley-Tam conjecture concerning the generalized numerical range . . . . . . . . . . . . . . . . . 87--97 Yongzhong Song On an inequality for the Hadamard product of an $M$-matrix and its inverse 99--105 H. Bart and A. P. M. Wagelmans An integer programming problem and rank decomposition of block upper triangular matrices . . . . . . . . . . . . . . . . 107--129 Amélia Fonseca Families of vectors with prescribed rank partition and a prescribed subfamily . . 131--149 Hector F. Miranda Singular values, diagonal elements, and extreme matrices . . . . . . . . . . . . 151--159 Jizhu Nan and Hong You The conjugacy classes of fixed point free elements in $\mbox{GL}_n(F)$ and $\mbox{SL}_n(F)$ . . . . . . . . . . . . 161--171 D. J. Hartfiel Difference equations in a general setting . . . . . . . . . . . . . . . . 173--185 E. Ballico Rank factorization and bordering of regular matrices over commutative rings 187--190 Johannes Gmainer and Hans Havlicek A dimension formula for the nucleus of a Veronese variety . . . . . . . . . . . . 191--201 Anonymous Index . . . . . . . . . . . . . . . . . 203
Andrew Tonge Equivalence constants for matrix norms: a problem of Goldberg . . . . . . . . . 1--13 R. Fleming and G. Grossman and T. Lenker and S. Narayan and S.-C. Ong Classes of Schur $D$-stable matrices . . 15--24 M. Cabrera and Amir A. Mohammed A representation theorem for algebras with commuting involutions . . . . . . . 25--31 Gi-Sang Cheon and Bryan L. Shader Sparsity of orthogonal matrices with restrictions . . . . . . . . . . . . . . 33--44 K. Takahashi On sums of three square-zero matrices 45--57 Gong-Ning Chen and Yong-Jian Hu The Nevanlinna--Pick interpolation problems and power moment problems for matrix-valued functions III: The infinitely many data case . . . . . . . 59--86 Miroslav Fiedler and Thomas L. Markham Generalized totally positive matrices 87--102 Carolyn Eschenbach and others On almost regular tournament matrices 103--121 Magnhild Lien and William Watkins Dual graphs and knot invariants . . . . 123--130 Michael Schmid and Rainer Steinwandt and Jörn Müller-Quade and Martin Rötteler and Thomas Beth Decomposing a matrix into circulant and diagonal factors . . . . . . . . . . . . 131--143 Olaf Krafft and Martin Schaefer Centrogonal Matrices . . . . . . . . . . 145--154 Dario Fasino and Paolo Tilli Spectral clustering properties of block multilevel Hankel matrices . . . . . . . 155--163 Yu. A. Alpin and L. Elsner and Kh. D. Ikramov On condensed forms for partially commuting matrices . . . . . . . . . . . 165--182 Valerie L. Watts A tree whose complement is not eigensharp . . . . . . . . . . . . . . . 183--188 C. Koukouvinos and M. Mitrouli and Jennifer Seberry Growth in Gaussian elimination for weighing matrices, $W$ ( $n$, $n$ 1) 189--202 Charles R. Johnson and Robert Reams Semidefiniteness without real symmetry 203--209 Anonymous Index . . . . . . . . . . . . . . . . . 211
Charles R. Johnson and Ronald L. Smith The positive definite completion problem relative to a subspace . . . . . . . . . 1--14 Zhengke Miao and Kemin Zhang The local exponent sets of primitive digraphs . . . . . . . . . . . . . . . . 15--33 Jaeun Lee and Hye Kyung Kim Characteristic polynomials of graphs having a semifree action . . . . . . . . 35--46 Nahum Zobin Some remarks on quasi-equivalence of bases in Fréchet spaces . . . . . . . . . 47--67 Elena Y. Bobrovnikova and Stephen A. Vavasis A norm bound for projections with complex weights . . . . . . . . . . . . 69--75 Marek Niezgoda On lattice property of group induced cone orderings . . . . . . . . . . . . . 77--87 Moshe Goldberg and W. A. J. Luxemburg Stable subnorms . . . . . . . . . . . . 89--101 Bart De Schutter On the ultimate behavior of the sequence of consecutive powers of a matrix in the max-plus algebra . . . . . . . . . . . . 103--117 Alexander Barg and Sugi Guritman and Juriaan Simonis Strengthening the Gilbert--Varshamov bound . . . . . . . . . . . . . . . . . 119--129 Jiming Jiang A matrix inequality and its statistical application . . . . . . . . . . . . . . 131--144 L. Vaserstein and E. Wheland Two-dimensional representations of the free group in two generators over an arbitrary field . . . . . . . . . . . . 145--150 Michael J. Tsatsomeros Principal pivot transforms: properties and applications . . . . . . . . . . . . 151--165 Martin Gavalec Linear matrix period in max-plus algebra 167--182 Guoyang Liu and Lewis C. Robertson Free product $Z_3*Z_3$ of rotations with rational entries . . . . . . . . . . . . 183--192 Anonymous Index . . . . . . . . . . . . . . . . . 195--195
Michael I. Gekhtman and Leiba Rodman Normal forms of generic triangular band matrices and Jordan forms of nilpotent completions . . . . . . . . . . . . . . 1--29 Zheng-Hong Yang and Gong-Ning Chen Generalized-confluent Cauchy and Cauchy--Vandermonde matrices . . . . . . 31--64 M. Bayat and H. Teimoori Pascal $k$-eliminated functional matrix and its property . . . . . . . . . . . . 65--75 Omar Hirzallah and Fuad Kittaneh Matrix Young inequalities for the Hilbert--Schmidt norm . . . . . . . . . 77--84 Yong-Lin Chen and Xin Chen Representation and approximation of the outer inverse $A_{T,S}^{(2)}$ of a matrix $A$ . . . . . . . . . . . . . . . 85--107 M. Finzel Metric projection and stratification of the Grassmannian . . . . . . . . . . . . 109--119 J. H. Drew and C. R. Johnson and D. D. Olesky and P. van den Driessche Spectrally arbitrary patterns . . . . . 121--137 Chi-Kwong Li and Alexandru Zaharia Decomposable numerical ranges on orthonormal tensors . . . . . . . . . . 139--152 Yin Chen and Abdelkrim Nokrane and Thomas Ransford Estimates for the spectrum near algebraic elements . . . . . . . . . . . 153--161 Daniel Alpay and Boris Freydin and Philippe Loubaton An extension problem for discrete-time almost periodically correlated stochastic processes . . . . . . . . . . 163--181 Luca Dieci and Alessandra Papini Padé approximation for the exponential of a block triangular matrix . . . . . . . 183--202 Rajendra Bhatia and Fuad Kittaneh Notes on matrix arithmetic-geometric mean inequalities . . . . . . . . . . . 203--211 Anonymous Index . . . . . . . . . . . . . . . . . 217--217
J. L. Barlow and Beresford N. Parlett and Kre\vsimir Veseli\'c The accurate solution of eigenvalue problems . . . . . . . . . . . . . . . . 1--2 Froilán M. Dopico and Julio Moro and Juan M. Molera Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices 3--18 Jesse L. Barlow and Ivan Slapni\vcar Optimal perturbation bounds for the Hermitian eigenvalue problem . . . . . . 19--43 Ilse C. F. Ipsen Absolute and relative perturbation bounds for invariant subspaces of matrices . . . . . . . . . . . . . . . . 45--56 Ivan Slapni\vcar and Ninoslav Truhar Relative perturbation theory for hyperbolic eigenvalue problem . . . . . 57--72 F. Chaitin-Chatelin and V. Toumazou and E. Traviesas Accuracy assessment for eigencomputations: Variety of backward errors and pseudospectra . . . . . . . . 73--83 K. Veseli\'c Perturbation theory for the eigenvalues of factorised symmetric matrices . . . . 85--102 Sanja Singer and Sa\vsa Singer Rounding-error and perturbation bounds for the indefinite QR factorization . . 103--119 Beresford N. Parlett and Inderjit S. Dhillon Relatively robust representations of symmetric tridiagonals . . . . . . . . . 121--151 Nicholas J. Higham QR factorization with complete pivoting and accurate computation of the SVD . . 153--174 Suely Oliveira and David E. Stewart Exponential splittings of products of matrices and accurately computing singular values of long products . . . . 175--190 Zlatko Drma\vc and Kre\vsimir Veseli\'c Approximate eigenvectors as preconditioner . . . . . . . . . . . . . 191--215 Beresford N. Parlett and Osni A. Marques An implementation of the dqds algorithm (positive case) . . . . . . . . . . . . 217--259 Tzu-Yi Chen and James W. Demmel Balancing sparse matrices for computing eigenvalues . . . . . . . . . . . . . . 261--287 Gene H. Golub and Zhenyue Zhang and Hongyuan Zha Large sparse symmetric eigenvalue problems with homogeneous linear constraints: the Lanczos process with inner-outer iterations . . . . . . . . . 289--306 T. Braconnier and P. Langlois and J. C. Rioual The influence of orthogonality on the Arnoldi method . . . . . . . . . . . . . 307--323 Przemys\law Kosowski The relative error in the Pruess method for Sturm--Liouville problems . . . . . 325--337 Françoise Tisseur Backward error and condition of polynomial eigenvalue problems . . . . . 339--361 Anonymous Index . . . . . . . . . . . . . . . . . 363--363
Hans Schneider Introduction to a group of articles in tribute to Vlastimil Pták . . . . . . . . 1--4 Vlastimil Pták and Olga Holtz A remark on the Jordan normal form of matrices . . . . . . . . . . . . . . . . 5--7 Carl de Boor On Pták's derivation of the Jordan normal form . . . . . . . . . . . . . . . . . . 9--10 Olga Holtz Applications of the duality method to generalizations of the Jordan canonical form . . . . . . . . . . . . . . . . . . 11--17 Achiya Dax A modified Gram--Schmidt algorithm with iterative orthogonalization and column pivoting . . . . . . . . . . . . . . . . 25--42 Jaspal Singh Aujla On an operator inequality . . . . . . . 43--47 Rafael Bru and Sergio Romero and Elena Sánchez Canonical forms for positive discrete-time linear control systems . . 49--71 Leiba Rodman and Peter\vSemrl Linear preservers of minimal rank . . . 73--82 Victor Y. Pan and Ailong Zheng Superfast algorithms for Cauchy-like matrix computations and extensions . . . 83--108 Steve Kirkland On the sequence of powers of a stochastic matrix with large exponent 109--122 Katarína Cechlárová A note on unsolvable systems of max-min (fuzzy) equations . . . . . . . . . . . 123--128 Britta Papendieck and Peter Recht On maximal entries in the principal eigenvector of graphs . . . . . . . . . 129--138 Robert M. Guralnick and B. A. Sethuraman Commuting pairs and triples of matrices and related varieties . . . . . . . . . 139--148 Abdo Y. Alfakih Graph rigidity via Euclidean distance matrices . . . . . . . . . . . . . . . . 149--165 E. J. Allen and J. Baglama and S. K. Boyd Numerical approximation of the product of the square root of a matrix with a vector . . . . . . . . . . . . . . . . . 167--181 Mátyás Domokos Poincaré series of semi-invariants of $2 \times 2$ matrices . . . . . . . . . . . 183--194 Anonymous Index . . . . . . . . . . . . . . . . . 195--195
Fernando C. Silva On the number of invariant factors of partially prescribed matrices and control theory . . . . . . . . . . . . . 1--12 Glória Cravo and Fernando C. Silva Eigenvalues of matrices with several prescribed blocks . . . . . . . . . . . 13--24 Guo-Niu Han Généralisation de l'identité de Scott sur les permanents. (French) [Generalization of Scott's identity for permanents] . . 25--34 Dragan Stevanovi\'c When can the components of NEPS of connected bipartite graphs be almost cospectral? . . . . . . . . . . . . . . 35--44 Ren-Cang Li Relative perturbation theory: IV. $\sin 2\theta$ theorems . . . . . . . . . . . 45--60 Delin Chu and Bart De Moor On a variational formulation of the QSVD and the RSVD . . . . . . . . . . . . . . 61--78 Qingtang Jiang Parametrizations of symmetric orthogonal multifilter banks with different filter lengths . . . . . . . . . . . . . . . . 79--96 Charles R. Johnson and David P. Stanford Patterns that allow given row and column sums . . . . . . . . . . . . . . . . . . 97--105 K.-H. Förster and B. Nagy Nonnegative realizations of matrix transfer functions . . . . . . . . . . . 107--129 Predrag S. Stanimirovi\'c and Dragan S. Djordjevi\'c Full-rank and determinantal representation of the Drazin inverse . . 131--151 C. M. da Fonseca The inertia of Hermitian block matrices with zero main diagonal . . . . . . . . 153--160 N. Borovykh and M. N. Spijker The sharpness of stability estimates corresponding to a general resolvent condition . . . . . . . . . . . . . . . 161--175 Jianhong Shen Compactification of a set of matrices with convergent infinite products . . . 177--186 You'an Cao and Jingtong Wang A note on algebra automorphisms of strictly upper triangular matrices over commutative rings . . . . . . . . . . . 187--193 Liping Huang The explicit solutions and solvability of linear matrix equations . . . . . . . 195--199 Anonymous Index . . . . . . . . . . . . . . . . . 201--201
David A. Yopp and Richard D. Hill On completely copositive and decomposable linear transformations . . 1--12 Jeremy Bell and A. R. Sourour Additive rank-one preserving mappings on triangular matrix algebras . . . . . . . 13--33 M. Konstantinov and V. Mehrmann and P. Petkov On properties of Sylvester and Lyapunov operators . . . . . . . . . . . . . . . 35--71 Shaun M. Fallat and Charles R. Johnson and Juan R. Torregrosa and Ana M. Urbano ${P}$-matrix completions under weak symmetry assumptions . . . . . . . . . . 73--91 Eugene Spiegel Completing symplectic matrices . . . . . 93--100 F. Benanti and M. G. Campanella On the *-cocharacter sequence of $3 \times 3$ matrices . . . . . . . . . . . 101--114 Yurii A. Al'pin and Alan George and Khakim D. Ikramov Solving the two-dimensional CIS problem by a rational algorithm . . . . . . . . 115--123 Alexander Vladimirov and Ludwig Elsner and Wolf-Jürgen Beyn Stability and paracontractivity of discrete linear inclusions . . . . . . . 125--134 Jos F. Sturm Similarity and other spectral relations for symmetric cones . . . . . . . . . . 135--154 Oscar Rojo and Ricardo Soto and Héctor Rojo An always nontrivial upper bound for Laplacian graph eigenvalues . . . . . . 155--159 Guang-Hong Yang and Jian Liang Wang and Yeng Chai Soh Guaranteed cost control for discrete-time linear systems under controller gain perturbations . . . . . 161--180 N. Castro González and J. J. Koliha and Yimin Wei Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero . . . . . . . . . . . . . . . . . . 181--189 D. D. Olesky and P. van den Driessche and J. H. Verner Graphs with the same determinant as a complete graph . . . . . . . . . . . . . 191--195 K. I. Beidar and M. Bre\vsar and M. A. Chebotar Jordan isomorphisms of triangular matrix algebras over a connected commutative ring . . . . . . . . . . . . . . . . . . 197--201 Anonymous Index . . . . . . . . . . . . . . . . . 203--203
Christopher J. Pappacena Matrix pencils and a generalized Clifford algebra . . . . . . . . . . . . 1--20 Si-Ju Kim and Bryan L. Shader Linear systems with signed solutions . . 21--40 Ren-Cang Li and G. W. Stewart A new relative perturbation theorem for singular subspaces . . . . . . . . . . . 41--51 P. Dewilde and A.-J. van der Veen Inner-outer factorization and the inversion of locally finite systems of equations . . . . . . . . . . . . . . . 53--100 L. Lovász and M. Saks and A. Schrijver A correction: orthogonal representations and connectivity of graphs . . . . . . . 101--105 S. Chandrasekaran and M. Gu Fast and stable eigendecomposition of symmetric banded plus semi-separable matrices . . . . . . . . . . . . . . . . 107--114 Jia-Yu Shao On the digraphs of sign solvable linear systems . . . . . . . . . . . . . . . . 115--126 A. Salam On vector Hankel determinants . . . . . 127--139 John H. Drew and Charles R. Johnson and Steven J. Kilner and Angela M. McKay The cycle completable graphs for the completely positive and doubly nonnegative completion problems . . . . 141--154 Yurii A. Al'pin and Khakim D. Ikramov Reducibility theorems for pairs of matrices as rational criteria . . . . . 155--161 Michael Neumann Inverses of Perron complements of inverse M-matrices . . . . . . . . . . . 163--171 Leslie Hogben Inverse M-matrix completions of patterns omitting some diagonal positions . . . . 173--192 Sui Sun Cheng and Hung-Ta Yen On a discrete nonlinear boundary value problem . . . . . . . . . . . . . . . . 193--201 Wilfred Kaplan A test for copositive matrices . . . . . 203--206 Anonymous Index . . . . . . . . . . . . . . . . . 207--207
Miloslav Havlí\vcek and Ji\vrí Patera and Edita Pelantová On Lie gradings III. Gradings of the real forms of classical Lie algebras . . 1--47 Alberto Elduque On triality and automorphisms and derivations of composition algebras . . 49--74 Dieter Schmidt Construction of the Jordan decomposition by means of Newton's method . . . . . . 75--89 D. Alpay and E. Tsekanovskii Interpolation theory in sectorial Stieltjes classes and explicit system solutions . . . . . . . . . . . . . . . 91--136 Yves V. Genin Hankel matrices, positive functions and related questions . . . . . . . . . . . 137--164 Bertrand Dekoninck and Serge Nicaise The eigenvalue problem for networks of beams . . . . . . . . . . . . . . . . . 165--189 Delin Chu and Bart De Moor On the nonuniqueness of the factorization factors in the product singular value decomposition . . . . . . 191--203 Anonymous Index . . . . . . . . . . . . . . . . . 205--205
J. D. Botha Sums of diagonalizable matrices . . . . 1--23 Luis E. Mata-Lorenzo and Lázaro Recht Convexity properties of $\mbox{Tr}[(a^*a)^n]$ . . . . . . . . . 25--38 P. Deuflhard and W. Huisinga and A. Fischer and Ch. Schütte Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains . . . . . . . . 39--59 Alexander Guterman and Chi-Kwong Li and Peter\vSemrl Some general techniques on linear preserver problems . . . . . . . . . . . 61--81 Jochen Dittmann On the curvature of monotone metrics and a conjecture concerning the Kubo-Mori metric . . . . . . . . . . . . . . . . . 83--112 Halil Oruç and George M. Phillips Explicit factorization of the Vandermonde matrix . . . . . . . . . . . 113--123 Cristina Caldeira and J. A. Dias da Silva The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory . . . . . . . . . . 125--138 Khaled A. S. Abdel-Ghaffar The determinant of random power series matrices over finite fields . . . . . . 139--144 D. W. Hadwin and K. J. Harrison and J. A. Ward Numerical ranges and matrix completions 145--154 M. Q. Rieck Maximal orthogonality and pseudo-orthogonality with applications to generalized inverses . . . . . . . . 155--173 Quande Chen and Xinlong Zhou Characterization of joint spectral radius via trace . . . . . . . . . . . . 175--188 Jin-Yun Yuan The Ostrowski-Reich theorem for SOR iterations: extensions to the rank deficient case . . . . . . . . . . . . . 189--196 Takahiko Nakazi Two-dimensional $Q$-algebras . . . . . . 197--205 Anonymous Index . . . . . . . . . . . . . . . . . 209--209
Michele Benzi and Jim Nagz Dedication to Robert J. Plemmons . . . . 1--12 Abraham Berman and Xiao-Dong Zhang Lower bounds for the eigenvalues of Laplacian matrices . . . . . . . . . . . 13--20 Grace E. Cho and Carl D. Meyer Markov chain sensitivity measured by mean first passage times . . . . . . . . 21--28 V. P. Pauca and B. L. Ellerbroek and R. J. Plemmons and X. Sun Structured matrix representations of two-parameter Hankel transforms in adaptive optics . . . . . . . . . . . . 29--43 Stephen J. Kirkland and Michael Neumann Regular Markov chains for which the transition matrix has large exponent . . 45--65 Ivo Marek and Daniel B. Szyld Comparison theorems for the convergence factor of iterative methods for singular matrices . . . . . . . . . . . . . . . . 67--87 Michael K. Ng and Raymond H. Chan and Tony F. Chan and Andy M. Yip Cosine transform preconditioners for high resolution image reconstruction . . 89--104 R. E. White Domain decomposition splittings . . . . 105--112 Moody T. Chu and Victor P. Pauca and Robert J. Plemmons and Xiaobai Sun A mathematical framework for the linear reconstructor problem in adaptive optics 113--135 Eric P. Jiang and Michael W. Berry Solving total least-squares problems in information retrieval . . . . . . . . . 137--156 D. Calvetti and B. Lewis and L. Reichel GMRES-type methods for inconsistent systems . . . . . . . . . . . . . . . . 157--169 Franklin T. Luk and Sanzheng Qiao A fast eigenvalue algorithm for Hankel matrices . . . . . . . . . . . . . . . . 171--182 Adam Bojanczyk and Sanzheng Qiao and Allan O. Steinhardt Unifying unitary and hyperbolic transformations . . . . . . . . . . . . 183--197 C.-T. Pan On the existence and computation of rank-revealing LU factorizations . . . . 199--222 Martin Hanke and James G. Nagy and Curtis Vogel Quasi-Newton approach to nonnegative image restorations . . . . . . . . . . . 223--236 Michael K. Ng and Robert J. Plemmons and Felipe Pimentel A new approach to constrained total least squares image restoration . . . . 237--258 Tony F. Chan and C. K. Wong Convergence of the alternating minimization algorithm for blind deconvolution . . . . . . . . . . . . . 259--285 Anonymous Index . . . . . . . . . . . . . . . . . 287--287
Jia-Yu Shao and Zhi-Xiang Hu Algebraic constructions of the minimal forbidden digraphs of strong sign nonsingular matrices . . . . . . . . . . 1--12 Alexander Tovbis Normal forms of ``near similarity'' transformations and linear matrix equations . . . . . . . . . . . . . . . 13--40 Jia-Yu Shao and Suk-Geun Hwang Nearly L-matrices and generalized row sign balanced matrices . . . . . . . . . 41--52 Vladimir V. Sergeichuk Canonical matrices for linear matrix problems . . . . . . . . . . . . . . . . 53--102 Sang Wook Kim and Jae Heon Yun Block ILU factorization preconditioners for a block-tridiagonal $H$-matrix . . . 103--125 Panayiotis J. Psarrakos Numerical range of linear pencils . . . 127--141 Christian Mehl Anti-triangular and anti- $m$ -Hessenberg forms for Hermitian matrices and pencils . . . . . . . . . . . . . . 143--176 S. Mondié and P. Zagalak and V. Ku\vcera State feedback in linear control theory 177--192 Bolian Liu and Zhou Bo On the third largest eigenvalue of a graph . . . . . . . . . . . . . . . . . 193--200 Xuerong Yong and Shiyi Cao Disproof of a conjecture on the existence of the path-recursive period for a connected graph . . . . . . . . . 201--205 Aleksej Turn\vsek Elementary operators and orthogonality 207--216 Geir Dahl A note on diagonally dominant matrices 217--224 Joel W. Robbin and Dietmar A. Salamon The exponential Vandermonde matrix . . . 225--226 Wen Li and Weiwei Sun Modified Gauss--Seidel type methods and Jacobi type methods for $Z$-matrices . . 227--240 Anonymous Index . . . . . . . . . . . . . . . . . 241--241
Claude Dellacherie and Servet Martínez and Jaime San Martín Description of the sub-Markov kernel associated to generalized ultrametric matrices. An algorithmic approach . . . 1--21 Nir Cohen and Izchak Lewkowicz A characterization of convex cones of matrices with constant regular inertia 23--33 R. B. Bapat Moore--Penrose inverse of set inclusion matrices . . . . . . . . . . . . . . . . 35--44 Xiqiang Zhao and Tianming Wang The algebraic properties of the generalized Pascal functional matrices associated with the exponential families 45--52 U. Ba\cser and J. M. Schumacher The equivalence structure of descriptor representations of systems with possibly inconsistent initial conditions . . . . 53--77 Liping Huang On two questions about quaternion matrices . . . . . . . . . . . . . . . . 79--86 Jadranka Mi\'ci\'c and Josip Pe\vcari\'c and Yuki Seo Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pe\vcari\'c method . . . . . . 87--107 Rajendra Bhatia and Fuad Kittaneh Cartesian decompositions and Schatten norms . . . . . . . . . . . . . . . . . 109--116 W. E. Longstaff and Oreste Panaia Single elements of matrix incidence algebras . . . . . . . . . . . . . . . . 117--126 Sven Feldmann and Georg Heinig Partial realization for singular systems in standard form . . . . . . . . . . . . 127--144 R. Tanaka and K. Murota Symmetric failures in symmetric control systems . . . . . . . . . . . . . . . . 145--172 Enrique Reyes and Rafael H. Villarreal and Leticia Zárate A note on affine toric varieties . . . . 173--179 M. R. Alaimia Weak crossed products and a generalisation of a result of Sarason 181--193 David C. Torney and Jun Wang Systems of linear congruences with individual moduli . . . . . . . . . . . 195--208 Paola Favati and Grazia Lotti and Ornella Menchi and Francesco Romani Solution of infinite linear systems by automatic adaptive iterations . . . . . 209--225 Anonymous Index . . . . . . . . . . . . . . . . . 227--227
E. Marques de Sá and J. F. Queiró and A. P. Santana Workshop on ``Geometric and combinatorial methods in the Hermitian sum spectral problem'' University of Coimbra, Portugal, 15--16 July 1999 . . 1--2 Shmuel Friedland Finite and infinite dimensional generalizations of Klyachko's theorem 3--22 William Fulton Eigenvalues of majorized Hermitian matrices and Littlewood--Richardson coefficients . . . . . . . . . . . . . . 23--36 Alexander A. Klyachko Random walks on symmetric spaces and inequalities for matrix spectra . . . . 37--59 Allen Knutson The symplectic and algebraic geometry of Horn's problem . . . . . . . . . . . . . 61--81 Luz Maria DeAlba and Leslie Hogben Completions of $P$-matrix patterns . . . 83--102 Franziska Baur and Werner J. Ricker The Weyl calculus and a Cayley--Hamilton theorem for pairs of selfadjoint matrices . . . . . . . . . . . . . . . . 103--116 Karl Gustafson An extended operator trigonometry . . . 117--135 Tingzhu Huang and Wen Li and Weiwei Sun Estimates for bounds of some numerical characters of matrices . . . . . . . . . 137--145 Maria Elena Valcher Nonnegative linear systems in the behavioral approach: the autonomous case 147--162 Matteo Campanella and Giovanni Garbo The structure of the state representation of shift invariant controllable and observable group codes 163--178 Joab R. Winkler A resultant matrix for scaled Bernstein polynomials . . . . . . . . . . . . . . 179--191 Didier Bondyfalat and Bernard Mourrain and Victor Y. Pan Computation of a specified root of a polynomial system of equations using eigenvectors . . . . . . . . . . . . . . 193--209 Anonymous Index . . . . . . . . . . . . . . . . . 211--211
K. N. Rajeshwari and K. Santaram and Pramod K. Sharma A note on feedback cyclicity of $C[Y]$ 1--13 Yuki Seo Specht's ratio and complementary inequalities to Golden-Thompson type inequalities on the Hadamard product . . 15--22 Ming-Tzu Ho and Aniruddha Datta and S. P. Bhattacharyya Generalizations of the Hermite-Biehler theorem: the complex case . . . . . . . 23--36 Delin Chu and Y. S. Hung A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem . . . . . 37--49 Gwang-Yeon Lee $k$-Lucas numbers and associated bipartite graphs . . . . . . . . . . . . 51--61 Isabel T. Matos and Fernando C. Silva A completion problem over the field of real numbers . . . . . . . . . . . . . . 63--77 M. C. Câmara and M. T. Malheiro Wiener--Hopf factorization for a group of exponentials of nilpotent matrices 79--96 Jianhua Zhou Lie algebras with almost dimensionally nilpotent inner derivations . . . . . . 97--114 Mustapha Raissouli and Ali Kacha Convergence of matrix continued fractions . . . . . . . . . . . . . . . 115--129 M. Seetharama Gowda and T. Parthasarathy Complementarity forms of theorems of Lyapunov and Stein, and related results 131--144 Alvaro R. De Pierro and Musheng Wei Some new properties of the equality constrained and weighted least squares problem . . . . . . . . . . . . . . . . 145--165 Xuerong Yong Proof of a conjecture of Fiedler and Markham . . . . . . . . . . . . . . . . 167--171 Yong Zou and Zheng Wang and Xuerong Yong On the largest $k$th eigenvalues of trees with $n \equiv 0 \pmod k$ . . . . 173--182 Line Baribeau and Sylvain Roy Caractérisation spectrale de la forme de Jordan . . . . . . . . . . . . . . . . . 183--191 A. Melman Symmetric centrosymmetric matrix-vector multiplication . . . . . . . . . . . . . 193--198 Gerd Herzog and Roland Lemmert On ordered spaces of polynomials . . . . 199--203 Anonymous Index . . . . . . . . . . . . . . . . . 207--207 Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 209--216 Anonymous Index . . . . . . . . . . . . . . . . . 221--231
Simo Puntanen and George P. H. Styan and Hans Joachim Werner Preface . . . . . . . . . . . . . . . . 1--2 Jerzy K. Baksalary and Oskar Maria Baksalary Idempotency of linear combinations of two idempotent matrices . . . . . . . . 3--7 Adi Ben-Israel An application of the matrix volume in probability . . . . . . . . . . . . . . 9--25 Kai-Tai Fang and Tõnu Kollo and Anne-Mai Parring Approximation of the non-null distribution of generalized $T^2$-statistics . . . . . . . . . . . . 27--46 Dao-De Gao and Rong-Bing Huang Some results on canonical correlation and their applications to a linear model 47--59 Ghazal A. Ghazal and Heinz Neudecker On second-order and fourth-order moments of jointly distributed random matrices: a survey . . . . . . . . . . . . . . . . 61--93 Daniel A. Griffith Eigenfunction properties and approximations of selected incidence matrices employed in spatial analyses 95--112 Jürgen Groß The Moore--Penrose inverse of a partitioned nonnegative definite matrix 113--121 Jürgen Groß Nonnegative-definite and positive-definite solutions to the matrix equation \bf $AXA^* = B$ --- revisited . . . . . . . . . . . . . . . 123--129 Jürgen Groß and Simo Puntanen Estimation under a general partitioned linear model . . . . . . . . . . . . . . 131--144 David A. Harville Simple derivations for two Jacobians of basic importance in multivariate statistics . . . . . . . . . . . . . . . 145--152 Kentaro Hayashi and Peter M. Bentler The asymptotic covariance matrix of maximum-likelihood estimates in factor analysis: the case of nearly singular matrix of estimates of unique variances 153--173 Erin M. Hodgess and William W. S. Wei Temporal disaggregation of stationary bivariate time series . . . . . . . . . 175--196 André Klein A generalization of Whittle's formula for the information matrix of vector-mixed time series . . . . . . . . 197--208 André Klein and Guy Mélard and Toufik Zahaf Construction of the exact Fisher information matrix of Gaussian time series models by means of matrix differential rules . . . . . . . . . . . 209--232 A. Klein and H. Neudecker A direct derivation of the exact Fisher information matrix of Gaussian vector state space models . . . . . . . . . . . 233--238 A. Kobilinsky Reparametrisation of interest in non-uniform factorial designs . . . . . 239--280 Chi-Kwong Li A simple proof of the Craig-Sakamoto theorem . . . . . . . . . . . . . . . . 281--283 Matja\vz Omladi\vc and Vesna Omladi\vc More on restricted canonical correlations . . . . . . . . . . . . . . 285--293 Fikri Öztürk and Fikri Akdeniz Ill-conditioning and multicollinearity 295--305 C. Radhakrishna Rao Statistical proofs of some matrix inequalities . . . . . . . . . . . . . . 307--320 Czes\law St\cepniak On a matrix result in comparison of linear experiments . . . . . . . . . . . 321--325 Yongge Tian Completing triangular block matrices with maximal and minimal ranks . . . . . 327--345 Michel van de Velden and Heinz Neudecker On an eigenvalue property relevant in correspondence analysis and related methods . . . . . . . . . . . . . . . . 347--364 H. D. Vinod Foundations of multivariate inference using modern computers . . . . . . . . . 365--385 Bao-Xue Zhang and Xian-Hai Zhu Gauss--Markov and weighted least-squares estimation under a general growth curve model . . . . . . . . . . . . . . . . . 387--398 Fuzhen Zhang Schur complements and matrix inequalities in the Löwner ordering . . . 399--410 Anonymous Index . . . . . . . . . . . . . . . . . 411--412
Tai-Lin Wang Convergence of the tridiagonal QR algorithm . . . . . . . . . . . . . . . 1--17 S. M. Malamud A converse to the Jensen inequality, its matrix extensions and inequalities for minors and eigenvalues . . . . . . . . . 19--41 M'hammed Benlarbi Delai Description de \em AlgLatT/$W(T)$ pour certaines extensions d'opérateurs auto-adjoints. (French) [Description of \em AlgLatT/$W(T)$ for certain extensions of self-adjoint operators] 43--49 Michael Tsatsomeros A criterion for the existence of common invariant subspaces of matrices . . . . 51--59 Klaus Neymeyr A geometric theory for preconditioned inverse iteration. I: Extrema of the Rayleigh quotient . . . . . . . . . . . 61--85 Klaus Neymeyr A geometric theory for preconditioned inverse iteration. II: Convergence estimates . . . . . . . . . . . . . . . 87--104 Jia-Yu Shao and Hai-Ying Shan Matrices with signed generalized inverses . . . . . . . . . . . . . . . . 105--127 Lauren Caston and Milena Savova and Ilya Spitkovsky and Nahum Zobin On eigenvalues and boundary curvature of the numerical range . . . . . . . . . . 129--140 Chuanqing Gu Generalized inverse matrix Padé approximation on the basis of scalar products . . . . . . . . . . . . . . . . 141--167 N. Guglielmi and M. Zennaro On the asymptotic properties of a family of matrices . . . . . . . . . . . . . . 169--192 William Chin and Barbara Cortzen and Jerry Goldman Linear cellular automata with boundary conditions . . . . . . . . . . . . . . . 193--206 Robert E. Hartwig and Guorong Wang and Yimin Wei Some additive results on Drazin inverse 207--217 Anonymous Index . . . . . . . . . . . . . . . . . 219--219
Rajendra Bhatia and Chandler Davis A key inequality for functions of matrices . . . . . . . . . . . . . . . . 1--5 Yuming Shi and Shaozhu Chen Spectral theory of higher-order discrete vector Sturm--Liouville problems . . . . 7--36 S. Kirkland and P. J. Psarrakos and M. J. Tsatsomeros On the location of the spectrum of hypertournament matrices . . . . . . . . 37--49 Charles R. Johnson and Kazuyoshi Okubo and Robert Reams Uniqueness of matrix square roots and an application . . . . . . . . . . . . . . 51--60 Barbara M. Terhal A family of indecomposable positive linear maps based on entangled quantum states . . . . . . . . . . . . . . . . . 61--73 Jor-Ting Chan and Kong Chan The cone of nonnegative $c$-numerical range and its preservers . . . . . . . . 75--85 S. R. Mohan and S. K. Neogy and A. K. Das On the classes of fully copositive and fully semimonotone matrices . . . . . . 87--97 William C. Waterhouse Asymmetric linear correlations of projective planes over fields . . . . . 99--104 Liping Huang and Wasin So On left eigenvalues of a quaternionic matrix . . . . . . . . . . . . . . . . . 105--116 Ole Christensen and Alexander M. Lindner Frames of exponentials: lower frame bounds for finite subfamilies and approximation of the inverse frame operator . . . . . . . . . . . . . . . . 117--130 Chi-Kwong Li and Yiu-Tung Poon Spectral inequalities and equalities involving products of matrices . . . . . 131--143 M. A. Fiol On pseudo-distance-regularity . . . . . 145--165 Gong-Ning Chen and Yong-Jian Hu Multiple Nevanlinna--Pick interpolation with both interior and boundary data and its connection with the power moment problem . . . . . . . . . . . . . . . . 167--194 Horst Alzer A converse of a matrix inequality . . . 195--199 BoLian Liu and Wen Jiang On a conjecture of Lewin's problem . . . 201--206 Jan Okni\'nski Semigroups of zero entropy . . . . . . . 207--211 Unknown Index . . . . . . . . . . . . . . . . . 213--213
J. Rohn and S. M. Rump and T. Yamamoto Preface . . . . . . . . . . . . . . . . 1--2 Siegfried M. Rump Self-validating methods . . . . . . . . 3--13 Xiaojun Chen and Yukihiro Shogenji and Maretsugu Yamasaki Verification for existence of solutions of linear complementarity problems . . . 15--26 Christian Jansson Quasiconvex relaxations based on interval arithmetic . . . . . . . . . . 27--53 Zenon Kulpa Diagrammatic representation for interval arithmetic . . . . . . . . . . . . . . . 55--80 K. Nagatou and M. T. Nakao An enclosure method of eigenvalues for the elliptic operator linearized at an exact solution of nonlinear problems . . 81--106 Josef Nedoma On solving vague systems of linear equations with pattern-shaped columns 107--118 Arnold Neumaier Generalized Lyapunov-Schmidt reduction for parametrized equations at near singular points . . . . . . . . . . . . 119--131 Shin'ichi Oishi Fast enclosure of matrix eigenvalues and singular values via rounding mode controlled computation . . . . . . . . . 133--146 Michael Plum Computer-assisted enclosure methods for elliptic differential equations . . . . 147--187 Robert Rihm Acceleration of iteration methods for interval fixed point problems . . . . . 189--207 Siegfried M. Rump Computational error bounds for multiple or nearly multiple eigenvalues . . . . . 209--226 Nobito Yamamoto A simple method for error bounds of eigenvalues of symmetric matrices . . . 227--234 Anonymous Author index . . . . . . . . . . . . . . 235--235
Robert W. Fitzgerald Norms of sums of squares . . . . . . . . 1--6 C. M. da Fonseca and J. Petronilho Explicit inverses of some tridiagonal matrices . . . . . . . . . . . . . . . . 7--21 A. A. Bostian and H. J. Woerdeman Unicity of minimal rank completions for tri-diagonal partial block matrices . . 23--55 Abdo Y. Alfakih On rigidity and realizability of weighted graphs . . . . . . . . . . . . 57--70 Guo Ji Ming and Tan Shang Wang A relation between the matching number and Laplacian spectrum of a graph . . . 71--74 Gorazd Le\vsnjak A note on constrained convergence . . . 75--80 Mirko Dobovi\vsek On minimal solutions of the matrix equation $A X Y B = 0$ . . . . . . . . . 81--99 Khakim D. Ikramov Hamiltonian square roots of skew-Hamiltonian matrices revisited . . 101--107 Ranjan K. Mallik The inverse of a tridiagonal matrix . . 109--139 Chi-Kwong Li and Edward Poon Linear operators preserving directional majorization . . . . . . . . . . . . . . 141--146 Arlene A. Pascasio An inequality on the cosines of a tight distance-regular graph . . . . . . . . . 147--159 M. Barnabei and L. B. Montefusco On a class of matrices with low displacement rank . . . . . . . . . . . 161--176 Kazuyoshi Okubo and Ilya Spitkovsky On the characterization of $2 \times 2$-contraction matrices . . . . . . . . 177--189 Wai-Shun Cheung and Chi-Kwong Li and D. D. Olesky and P. van den Driessche Optimizing quadratic forms of adjacency matrices of trees and related eigenvalue problems . . . . . . . . . . . . . . . . 191--207 James Brewer and Lee Klingler On feedback invariants for linear dynamical systems . . . . . . . . . . . 209--220 Anonymous Author index . . . . . . . . . . . . . . 221--221
Jianhong Shen On the singular values of Gaussian random matrices . . . . . . . . . . . . 1--14 J. A. Dias da Silva and Charles R. Johnson Cospectrality and similarity for a pair of matrices under multiplicative and additive composition with diagonal matrices . . . . . . . . . . . . . . . . 15--25 I. G. Ivanov and V. I. Hasanov and B. V. Minchev On matrix equations $X \pm A^* X^2 A = I$ . . . . . . . . . . . . . . . . . . . 27--44 D. Hinrichsen and W. Manthey and U. Helmke Minimal partial realization by descriptor systems . . . . . . . . . . . 45--84 Josef Nedoma Positively regular vague matrices . . . 85--100 Jun Ichi Fujii and Ritsuo Nakamoto and Yuki Seo Operator inequalities of Malamud and Wielandt . . . . . . . . . . . . . . . . 101--109 Abdelkhalek Faouzi Verticalité en théorie des opérateurs linéaires (Étude des paires) . . . . . . . 111--120 Josip Pe\vcari\'c and Ivan Peri\'cand Rajko Roki On bounds for weighted norms for matrices and integral operators . . . . 121--135 A. C. Antoulas and D. C. Sorensen Lyapunov, Lanczos, and inertia . . . . . 137--150 Bahman Kalantari and Thomas H. Pate A determinantal lower bound . . . . . . 151--159 Mario Romeo and Paolo Tilli On some variational problems in the theory of unitarily invariant norms and Hadamard products . . . . . . . . . . . 161--172 Jungong Xue Blockwise perturbation theory for nearly uncoupled Markov chains and its application . . . . . . . . . . . . . . 173--191 Scott McCullough Factorization of operator-valued polynomials in several non-commuting variables . . . . . . . . . . . . . . . 193--203 Jürgen Groß and Götz Trenkler and Sven-Oliver Troschke Quaternions: further contributions to a matrix oriented approach . . . . . . . . 205--213 Jürgen Groß Löwner partial ordering and space preordering of Hermitian non-negative definite matrices . . . . . . . . . . . 215--223 Anonymous Author index . . . . . . . . . . . . . . 225--225
Sang Dong Kim and Yong HunLee Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations . . . . . . 1--15 Sergiusz K\keska A variant of the Hausdorff theorem for multi-index matrices II . . . . . . . . 17--26 Grega Cigler Matrix groups with independent spectra 27--40 Yaoping Hou and Jiongsheng Li Square nearly nonpositive sign pattern matrices . . . . . . . . . . . . . . . . 41--51 Charles R. Johnson and Suzanne A. Lewis and Donald Y. Yau Possible line sums for a qualitative matrix . . . . . . . . . . . . . . . . . 53--60 Yubin Gao and Jiongsheng Li On the potential stability of star sign pattern matrices . . . . . . . . . . . . 61--68 Ingrid Daubechies and Jeffrey C. Lagarias Corrigendum/addendum to: Sets of matrices all infinite products of which converge . . . . . . . . . . . . . . . . 69--83 Shaun M. Fallat and Michael Neumann On Perron complements of totally nonnegative matrices . . . . . . . . . . 85--94 M. I. Gil' On invertibility and positive invertibility of matrices . . . . . . . 95--104 Andrew L. Rukhin Pattern correlation matrices and their properties . . . . . . . . . . . . . . . 105--114 G. W. Stewart A generalization of Saad's theorem on Rayleigh--Ritz approximations . . . . . 115--119 John H. Drew and Charles R. Johnson and Fumei Lam Complete positivity of matrices of special form . . . . . . . . . . . . . . 121--130 John Holbrook and Matja\vz Omladi\vc Approximating commuting operators . . . 131--149 Erich W. Ellers and Huberta Lausch Products of transvections in one conjugacy class of the symplectic group over the $p$-adic numbers . . . . . . . 151--180 Georg Heinig Chebyshev-Hankel matrices and the splitting approach for centrosymmetric Toeplitz-plus-Hankel matrices . . . . . 181--196 M. Radjabalipour and K. Seddighi and Y. Taghavi Additive mappings on operator algebras preserving absolute values . . . . . . . 197--206 Naohisa Otsuka Generalized controlled and conditioned invariances for linear $\omega$-periodic discrete-time systems . . . . . . . . . 207--223 Anonymous Author Index . . . . . . . . . . . . . . 225--225
Jovan Stefanovski Condensed forms of linear control system under output feedback . . . . . . . . . 1--55 Pablo Tarazaga and Marcos Raydan and Ana Hurman Perron--Frobenius theorem for matrices with some negative entries . . . . . . . 57--68 V. Bolotnikov and L. Rodman On positivity of analytic matrix functions in polydisks . . . . . . . . . 69--94 Vlad Ionescu and Cristian Oar\va The four-block Adamjan-Arov-Krein problem for discrete-time systems . . . 95--119 S. Serra Capizzano Distribution results on the algebra generated by Toeplitz sequences: a finite-dimensional approach . . . . . . 121--130 Mandeep Singh and H. L. Vasudeva Monotone matrix functions of two variables . . . . . . . . . . . . . . . 131--152 Jiong-Sheng Li and Yong-Liang Pan de Caen's inequality and bounds on the largest Laplacian eigenvalue of a graph 153--160 Leslie Hogben Graph theoretic methods for matrix completion problems . . . . . . . . . . 161--202 Alissa S. Crans and Shaun M. Fallat and Charles R. Johnson The Hadamard core of the totally nonnegative matrices . . . . . . . . . . 203--222 Anonymous Author index . . . . . . . . . . . . . . 223--223
Guo Ji Ming and Tan Shang Wang On the spectral radius of trees . . . . 1--8 Andre Klein and Peter Spreij On Stein's equation, Vandermonde matrices and Fisher's information matrix of time series processes. Part I: The autoregressive moving average process 9--47 Gi-Sang Cheon and Jin-Soo Kim Stirling matrix via Pascal matrix . . . 49--59 Boris Mirman and Vladimir Borovikov and Lev Ladyzhensky and Robert Vinograd Numerical ranges, Poncelet curves, invariant measures . . . . . . . . . . . 61--75 Ismo Korkee and Pentti Haukkanen Bounds for determinants of meet matrices associated with incidence functions . . 77--88 W. Hebisch and R. Olkiewicz and B. Zegarli\'nski On upper bound for the quantum entropy 89--96 Branko \'Curgus and Aad Dijksma and Tom Read The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces . . . . . . . . . . . . . . . . . 97--136 Augusto Ferrante and Michele Pavon and Stefano Pinzoni Asymmetric algebraic Riccati equation: A homeomorphic parametrization of the set of solutions . . . . . . . . . . . . . . 137--156 Leo Livshits and Gordon MacDonald $n$-Transitivity and the complementation property . . . . . . . . . . . . . . . . 157--169 Abdelkhalek Faouzi On the orbit of invariant subspaces of linear operators in finite-dimensional spaces (new proof of a Halmos's result) 171--174 You'an Cao Automorphisms of the Lie algebra of strictly upper triangular matrices over certain commutative rings . . . . . . . 175--187 Anonymous Author index . . . . . . . . . . . . . . 189--189
R. Peluso and T. Politi Some improvements for two-sided bounds on the inverse of diagonally dominant tridiagonal matrices . . . . . . . . . . 1--14 Rajae Ben Taher and Mustapha Rachidi Linear recurrence relations in the algebra of matrices and applications . . 15--24 Suk-Geun Hwang and Sung-Soo Pyo Doubly stochastic matrices whose powers eventually stop . . . . . . . . . . . . 25--30 J. R. Cardoso and F. Silva Leite Theoretical and numerical considerations about Padé approximants for the matrix logarithm . . . . . . . . . . . . . . . 31--42 Charles R. Johnson and Ronald L. Smith Linear interpolation problems for matrix classes and a transformational characterization of $M$-matrices . . . . 43--48 Francesco Barioli Chains of dog-ears for completely positive matrices . . . . . . . . . . . 49--66 Jacob W. van der Woude A simplex-like method to compute the eigenvalue of an irreducible (max,$+$)-system . . . . . . . . . . . . 67--87 H. Langer and A. Markus and V. Matsaev and C. Tretter A new concept for block operator matrices: the quadratic numerical range 89--112 Marek Niezgoda Linear maps preserving group majorization . . . . . . . . . . . . . . 113--127 C. Koukouvinos and M. Mitrouli and Jennifer Seberry An algorithm to find formulae and values of minors for Hadamard matrices . . . . 129--147 Paul Terwilliger Two linear transformations each tridiagonal with respect to an eigenbasis of the other . . . . . . . . 149--203 Mau-Hsiang Shih König chain for compact matrix sets . . . 205--208 Chin-Tzong Pang and Sy-Ming Guu A note on the sequence of consecutive powers of a nonnegative matrix in max algebra . . . . . . . . . . . . . . . . 209--213 Chuan-Long Wang and Zhong-Zhi Bai Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices . . . . . . . . . . . 215--218 Anonymous Author index . . . . . . . . . . . . . . 219--219
Beth Osikiewicz and Andrew Tonge An interpolation approach to Hardy--Littlewood inequalities for norms of operators on sequence spaces . . . . 1--9 Jiu Ding and Wallace C. Pye On the spectrum and pseudoinverse of a special bordered matrix . . . . . . . . 11--20 Huang Liping Consimilarity of quaternion matrices and complex matrices . . . . . . . . . . . . 21--30 Florian Bünger and Frieder Knüppel and Klaus Nielsen The product of two quadratic matrices 31--41 Yves Nievergelt Hyperspheres and hyperplanes fitted seamlessly by algebraic constrained total least-squares . . . . . . . . . . 43--59 Valentin Matache Numerical ranges of composition operators . . . . . . . . . . . . . . . 61--74 Alexander Guterman Linear preservers for matrix inequalities and partial orderings . . . 75--87 Changsen Yang An order preserving inequality via Furuta inequality, II . . . . . . . . . 89--100 Tin-Yau Tam and William C. Hill On $G$-invariant norms . . . . . . . . . 101--112 Geir Dahl Principal majorization ideals and optimization . . . . . . . . . . . . . . 113--130 Wen Li and Weiwei Sun Comparison results for parallel multisplitting methods with applications to AOR methods . . . . . . . . . . . . . 131--144 A. Chlebowicz and A. S\ladek and M. Wo\lowiec-Musia\l Automorphisms of certain forms of higher degree over ordered fields . . . . . . . 145--153 Francisco Marcellán and Franciszek Hugon Szafraniec A matrix algorithm towards solving the moment problem of Sobolev type . . . . . 155--164 Z. H. Yang Polynomial Bezoutian matrix with respect to a general basis . . . . . . . . . . . 165--179 Constantin Popa Extension of an approximate orthogonalization algorithm to arbitrary rectangular matrices . . . . . . . . . . 181--192 Grzegorz Kubicki and Jen\Ho Lehel and Micha\l Morayne Totally positive matrices and totally positive hypergraphs . . . . . . . . . . 193--202 Giorgio Donati On Pappus' configuration in non-commutative projective geometry . . 203--209 Anonymous Author index . . . . . . . . . . . . . . 211--211
Nicholas Higham and Roger Horn and Thomas J. Laffey and Ferran Puerta Preface . . . . . . . . . . . . . . . . 1--1 Ludwig Elsner and P. van den Driessche Modifying the power method in max algebra . . . . . . . . . . . . . . . . 3--13 Suk-Geun Hwang and Sung-Soo Pyo Matrix majorization via vector majorization . . . . . . . . . . . . . . 15--21 David A. Gregory and Daniel Hershkowitz and Stephen J. Kirkland The spread of the spectrum of a graph 23--35 Heike Faßbender and D. Steven Mackey and Niloufer Mackey Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems . . . . . . . 37--80 T. Damm and D. Hinrichsen Newton's method for a rational matrix equation occurring in stochastic control 81--109 Pedro Alonso and Raquel Cortina and Vicente Hernández and José Ranilla A study of the performance of Neville elimination using two kinds of partitioning techniques . . . . . . . . 111--117 Han Hyuk Cho and Chan Yong Hong and Suh-Ryung Kim and Chang Hoon Park and Yunsun Nam On $A(R,S)$ all of whose members are indecomposable . . . . . . . . . . . . . 119--129 J. M. Peña Determinantal criteria for total positivity . . . . . . . . . . . . . . . 131--137 Zhaojun Bai and Roland W. Freund A partial Padé-via-Lanczos method for reduced-order modeling . . . . . . . . . 139--164 M. Isabel García-Planas and Vladimir V. Sergeichuk Generic families of matrix pencils and their bifurcation diagrams . . . . . . . 165--179 J. M. Bahi and K. Rhofir and J.-C. Miellou Parallel solution of linear DAEs by multisplitting waveform relaxation methods . . . . . . . . . . . . . . . . 181--196 Miroslav Fiedler Some inverse problems for elliptic matrices with zero diagonal . . . . . . 197--204 Òystein Rognes and Xue-Cheng Tai Subspace correction methods for nonsymmetric parabolic problems . . . . 205--234 M. Isabel García-Planas and M. Dolors Magret Associating matrix pencils to generalized linear multivariable systems 235--256 A. Bhaya and E. Kaszkurewicz and Y. Su Stability of asynchronous two-dimensional Fornasini-Marchesini dynamical systems . . . . . . . . . . . 257--263 P. A. Fuhrmann and U. Helmke On the parametrization of conditioned invariant subspaces and observer theory 265--353 C. Jordán and J. R. Torregrosa and A. M. Urbano Graphs and controllability completion problems . . . . . . . . . . . . . . . . 355--370 L. M. Camacho and J. R. Gómez and R. M. Navarro Algebra of derivations of Lie algebras 371--380 Lubomír Bakule and José Rodellar and Josep M. Rossell Controllability-observability of expanded composite systems . . . . . . . 381--400 A. Roca and I. Zaballa Invariant factor assignment under state feedback and output injection . . . . . 401--436 Jan Hauke and Augustyn Markiewicz and Tomasz Szulc Inter- and extrapolatory properties of matrix partial orderings . . . . . . . . 437--445 Isabel Cabral and Fernando C. Silva and Ion Zaballa Feedback invariants of a pair of matrices with prescribed columns . . . . 447--458 Frank Uhlig Constructive ways for generating (generalized) real orthogonal matrices as products of (generalized) symmetries 459--467 Pedro Patrício The Moore--Penrose inverse of von Neumann regular matrices over a ring . . 469--483 Pedro Patrício and Roland Puystjens About the von Neumann regularity of triangular block matrices . . . . . . . 485--502 Gustavo Corach and Demetrio Stojanoff Index of Hadamard multiplication by positive matrices II . . . . . . . . . . 503--517 Georg Heinig Not every matrix is similar to a Toeplitz matrix . . . . . . . . . . . . 519--531 Joan-Josep Climent and Néstor Thome and Yimin Wei A geometrical approach on generalized inverses by Neumann-type series . . . . 533--540 Josep Clotet and M. Isabel García-Planas and M. Dolors Magret Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them . . . . . 541--567 Josep Ferrer and Ferran Puerta Versal deformations of invariant subspaces . . . . . . . . . . . . . . . 569--582 Marc Van Barel and Vlastimil Pták and Zden\vek Vav\vrín Bézout and Hankel matrices associated with row reduced matrix polynomials, Barnett-type formulas . . . . . . . . . 583--606 Ferran Puerta Conference Report: 8th ILAS Conference in Barcelona . . . . . . . . . . . . . . 607--609 Anonymous Author index . . . . . . . . . . . . . . 611--612
Carmine Di Fiore and Paolo Zellini Matrix algebras in optimal preconditioning . . . . . . . . . . . . 1--54 Mao-Ting Chien and Hiroshi Nakazato The $c$-numerical range of tridiagonal matrices . . . . . . . . . . . . . . . . 55--61 S. P. Smith The factorability of symmetric matrices and some implications for statistical linear models . . . . . . . . . . . . . 63--80 Susana Furtado and Enide Andrade Martins and Fernando C. Silva On similarity invariants of matrix commutators . . . . . . . . . . . . . . 81--93 P. F. Renaud A matrix formulation of Grüss inequality 95--100 Yongge Tian and George P. H. Styan Rank equalities for idempotent and involutary matrices . . . . . . . . . . 101--117 J. R. Gómez and A. Jiménez-Merchán and J. Reyes Quasi-filiform lie algebras of maximum length . . . . . . . . . . . . . . . . . 119--135 Grace E. Cho and Carl D. Meyer Comparison of perturbation bounds for the stationary distribution of a Markov chain . . . . . . . . . . . . . . . . . 137--150 Miroslav Fiedler Equilibrated anti-Monge matrices . . . . 151--156 G. Cravo and J. A. Dias da Silva and Fernando C. Silva Characteristic polynomials and controlability of partially prescribed matrices . . . . . . . . . . . . . . . . 157--166 Andrzej Cegielski Obtuse cones and Gram matrices with nonnegative inverse . . . . . . . . . . 167--181 Liping Zhang A characterization of the Drazin inverse 183--188 Avram Sidi DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular non-symmetric linear systems . . . . . . 189--204 Anonymous Author index . . . . . . . . . . . . . . 205--205
Yijia Tan On the powers of matrices over a distributive lattice . . . . . . . . . . 1--14 Laura Smithies Finite rank harmonic operator-valued functions . . . . . . . . . . . . . . . 15--20 Per Enflo and Laura Smithies Harnack's theorem for harmonic compact operator-valued functions . . . . . . . 21--27 Jianlian Cui and Jinchuan Hou and Bingren Li Linear preservers on upper triangular operator matrix algebras . . . . . . . . 29--50 E. Brian Davies and Graham M. L. Gladwell and Josef Leydold and Peter F. Stadler Discrete nodal domain theorems . . . . . 51--60 Shu-Fang Xu Perturbation analysis of the maximal solution of the matrix equation $X + A^*X^{-1}A = P$ . . . . . . . . . . . . 61--70 Christian Mehl and Leiba Rodman Classes of normal matrices in indefinite inner products . . . . . . . . . . . . . 71--98 Jin Ho Kwak and Young Soo Kwon Characteristic polynomials of graph bundles having voltages in a dihedral group . . . . . . . . . . . . . . . . . 99--118 M. Niezgoda and Tin-Yau Tam On the norm property of $G(c)$-radii and Eaton triples . . . . . . . . . . . . . 119--130 Mohammad Othman Omran and Wayne Barrett The real positive definite completion problem for a $4$-cycle . . . . . . . . 131--166 José María Ancochea Bermúdez and Otto Rutwig Campoamor Stursberg Classification of $(n-5)$-filiform Lie algebras . . . . . . . . . . . . . . . . 167--180 Hirobumi Mizuno and Iwao Sato Zeta functions of digraphs . . . . . . . 181--190 S. T. Chapman and J. I. García-García and P. A. García-Sánchez and J. C. Rosales Computing the elasticity of a Krull monoid . . . . . . . . . . . . . . . . . 191--200 Shang-jun Yang and Hua-zhang Wu and Quan-bing Zhang Generalization of Vandermonde determinants . . . . . . . . . . . . . . 201--204 Lisheng Zeng Some applications of spectral theory of nonnegative matrices to input-output models . . . . . . . . . . . . . . . . . 205--218 J. C. Rosales and J. I. García-García Primary ideals of finitely generated commutative cancellative monoids . . . . 219--230 Hossain O. Yakhlef and Francisco Marcellán and Miguel A. Piñar Perturbations in the Nevai matrix class of orthogonal matrix polynomials . . . . 231--254 M. R. Pournaki On the orthogonal basis of the symmetry classes of tensors associated with certain characters . . . . . . . . . . . 255--260 Valerie L. Watts Boolean rank of Kronecker products . . . 261--264 Anonymous Author index . . . . . . . . . . . . . . 265--265
Werner Kratz Banded matrices and difference equations 1--20 Rosário Fernandes On the covering number of a matroid element . . . . . . . . . . . . . . . . 21--35 Stefano Serra Capizzano Spectral behavior of matrix sequences and discretized boundary value problems 37--78 B. P. Duggal Range-kernel orthogonality of the elementary operator $X \longrightarrow \sum_{i=1}^n A_i X B_i - X$ . . . . . . 79--86 Alexei A. Mailybaev Transformation to versal deformations of matrices . . . . . . . . . . . . . . . . 87--108 Gilbert Cheung and Nam-Kiu Tsing On star-centers of some generalized numerical ranges and diagonals of normal matrices . . . . . . . . . . . . . . . . 109--119 Rosário Fernandes On the kernel of the derivation operator 121--138 Ehrhard Behrends and Fritz Mädler Transformations into optimal parallelism in euclidean spaces (or: how to explain the shape of the electron-density distribution inside a crystal) . . . . . 139--156 Wen-Wei Lin and Ji-guang Sun Perturbation analysis for the eigenproblem of periodic matrix pairs 157--187 Berend Roorda and Siep Weiland Optimal angle reduction --- a behavioral approach to linear system approximation 189--235 Wilfred Kaplan A copositivity probe . . . . . . . . . . 237--251 Charles R. Johnson and Ronald L. Smith Almost principal minors of inverse $M$-matrices . . . . . . . . . . . . . . 253--265 Anonymous Author index . . . . . . . . . . . . . . 269--269
R. Felipe and F. Ongay Algebraic aspects of the discrete KP hierarchy . . . . . . . . . . . . . . . 1--17 M. Minoux Extension of MacMahon's Master Theorem to pre-semi-rings . . . . . . . . . . . 19--26 A. Eisinberg and G. Franzé and N. Salerno Rectangular Vandermonde matrices on Chebyshev nodes . . . . . . . . . . . . 27--36 Xiezhang Li Is a Chebyshev method optimal for an elliptic region also optimal for a nearly elliptic region? . . . . . . . . 37--51 Xiezhang Li and Yimin Wei An improvement on the perturbation of the group inverse and oblique projection 53--66 Alberto Borobia and Sebastián Dormido Three coefficients of a polynomial can determine its instability . . . . . . . 67--76 Bin Ren and Dao Ji Meng Some $2$-step nilpotent Lie algebras I 77--98 Ronald L. Smith On characterizing $Z$-matrices . . . . . 99--104 Hiroshi Nakazato and Panayiotis Psarrakos On the shape of numerical range of matrix polynomials . . . . . . . . . . . 105--123 Zhiping Lin and N. K. Bose A generalization of Serre's conjecture and some related issues . . . . . . . . 125--138 Per Enflo and Janice Kover and Laura Smithies Denseness for norm attaining operator-valued functions . . . . . . . 139--144 MinTang Xiao and GuangCao Chong and Zhang Xian Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings . . . . . . . . . . . . . . . . . 145--152 Frank J. Hall and Zhongshan Li and Di Wang Symmetric sign pattern matrices that require unique inertia . . . . . . . . . 153--169 F. Dell Kronewitter Using noncommutative Gröbner bases in solving partially prescribed matrix inverse completion problems . . . . . . 171--199 Matthias Bollhöfer A robust ILU with pivoting based on monitoring the growth of the inverse factors . . . . . . . . . . . . . . . . 201--218 A. Melman A two-step even-odd split Levinson algorithm for Toeplitz systems . . . . . 219--237 Ameur Seddik The numerical range of elementary operators II . . . . . . . . . . . . . . 239--244 Thomas Britz The inverse of a non-singular free matrix . . . . . . . . . . . . . . . . . 245--249 Emilie B. Wiesner Backward minimal points for bounded linear operators on finite-dimensional vector spaces . . . . . . . . . . . . . 251--259 Hong You and Jianlong Chen Generalized inverses of a sum of morphisms . . . . . . . . . . . . . . . 261--273 S. R. Mohan and S. K. Neogy and A. K. Das More on positive subdefinite matrices and the linear complementarity problem 275--285 Charles R. Johnson and Susana Furtado A generalization of Sylvester's law of inertia . . . . . . . . . . . . . . . . 287--290 Anonymous Author index . . . . . . . . . . . . . . 291--291
Alberto Del Lungo and Paolo Gronchi and Gabor T. Herman Special issue on Discrete Tomography . . 1--2 Elena Barcucci and Alberto Del Lungo and Maurice Nivat and Renzo Pinzani X-rays characterizing some classes of discrete sets . . . . . . . . . . . . . 3--21 Emese Balogh and Attila Kuba and Csaba Dévényi and Alberto Del Lungo Comparison of algorithms for reconstructing hv-convex discrete sets 23--35 S. Brunetti and A. DelLungo and F. DelRistoro and A. Kuba and M. Nivat Reconstruction of $4$- and $8$-connected convex discrete sets from row and column projections . . . . . . . . . . . . . . 37--57 S. Brunetti and A. Del Lungo and Y. Gerard On the computational complexity of reconstructing three-dimensional lattice sets from their two-dimensional X-rays 59--73 Eilat Vardi and Gabor T. Herman and T. Yung Kong Speeding up stochastic reconstructions of binary images from limited projection directions . . . . . . . . . . . . . . . 75--89 Andrew E. Yagle A convergent composite mapping Fourier domain iterative algorithm for $3$-D discrete tomography . . . . . . . . . . 91--109 Yair Censor Binary steering in discrete tomography reconstruction with sequential and simultaneous iterative algorithms . . . 111--124 Imants Svalbe and Dimitri van der Spek Reconstruction of tomographic images using analog projections and the digital Radon transform . . . . . . . . . . . . 125--145 Lajos Hajdu and Robert Tijdeman An algorithm for discrete tomography . . 147--169 Attila Kuba and Maurice Nivat Reconstruction of discrete sets with absorption . . . . . . . . . . . . . . . 171--194 J. Santos and L. C. Longoria and J. C. Palacios Detection of flaws in construction columns using $3$D reconstruction and manipulation . . . . . . . . . . . . . . 195--204 Vito Di Ges\`u and Cesare Valenti Two-view ``cylindrical decomposition'' of binary images . . . . . . . . . . . . 205--219 Anonymous Author index . . . . . . . . . . . . . . 221--221
Patrick Dewilde and Vadim Olshevsky and Ali H. Sayed Special Issue on Structured and Infinite Systems of Linear Equations . . . . . . 1--4 Estelle L. Basor and Torsten Ehrhardt Some identities for determinants of structured matrices . . . . . . . . . . 5--19 D. A. Bini and L. Gemignani and B. Meini Computations with infinite Toeplitz matrices and polynomials . . . . . . . . 21--61 Tibor Boros and Thomas Kailath and Vadim Olshevsky Pivoting and backward stability of fast algorithms for solving Cauchy linear equations . . . . . . . . . . . . . . . 63--99 A. Böttcher and M. Embree and V. I. Sokolov Infinite Toeplitz and Laurent matrices with localized impurities . . . . . . . 101--118 Li Chen and Wayne Eberly and Erich Kaltofen and B. David Saunders and William J. Turner and Gilles Villard Efficient matrix preconditioners for black box linear algebra . . . . . . . . 119--146 Tiberiu Constantinescu and Ali H. Sayed and Thomas Kailath Inverse scattering experiments, structured matrix inequalities, and tensor algebra . . . . . . . . . . . . . 147--169 Laurent El Ghaoui Inversion error, condition number, and approximate inverses of uncertain matrices . . . . . . . . . . . . . . . . 171--193 Georg Heinig and Karla Rost Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bezoutians . . . . . . . . . . . . . 195--209 Jef Hendrickx and Marc Van Barel Fast direct solution methods for symmetric banded Toeplitz systems, based on the sine transform . . . . . . . . . 211--232 Victor Y. Pan and Youssef Rami and Xinmao Wang Structured matrices and Newton's iteration: unified approach . . . . . . 233--265 J. Rovnyak and L. A. Sakhnovich Some indefinite cases of spectral problems for canonical systems of difference equations . . . . . . . . . . 267--289 Alexander Sakhnovich Szeg\Ho limits for infinite Toeplitz matrices determined by the Taylor series of two rational functions . . . . . . . 291--302 Stefano Serra Capizzano Matrix algebra preconditioners for multilevel Toeplitz matrices are not superlinear . . . . . . . . . . . . . . 303--319 Thomas Strohmer Four short stories about Toeplitz matrix calculations . . . . . . . . . . . . . . 321--344 E. E. Tyrtyshnikov and N. L. Zamarashkin Toeplitz eigenvalues for Radon measures 345--354 Cornelis V. M. van der Mee and Sebastiano Seatzu and Giuseppe Rodriguez Spectral factorization of bi-infinite multi-index block Toeplitz matrices . . 355--380 Harald K. Wimmer Similarity of block companion and block Toeplitz matrices . . . . . . . . . . . 381--387 Daniel Alpay and Vladimir Bolotnikov and Patrick Dewilde and Aad Dijksma Brune sections in the non-stationary case . . . . . . . . . . . . . . . . . . 389--418 Y. Eidelman and I. Gohberg A modification of the Dewilde-van der Veen method for inversion of finite structured matrices . . . . . . . . . . 419--450 Pablo A. Iglesias Logarithmic integrals and system dynamics: an analogue of Bode's sensitivity integral for continuous-time, time-varying systems 451--471 O. M. Tabachnikova Infinite systems of linear equations and mathematical logic . . . . . . . . . . . 473--475 Anonymous Author Index . . . . . . . . . . . . . . 477--478
Georg Heinig Kernel structure of Toeplitz-plus-Hankel matrices . . . . . . . . . . . . . . . . 1--13 Mao-Ting Chien and Hiroshi Nakazato Davis-Wielandt shell and $q$-numerical range . . . . . . . . . . . . . . . . . 15--31 Daniel Alpay and Chen Dubi Boundary interpolation in the ball . . . 33--54 L. Yu. Kolotilina Optimally conditioned block matrices . . 55--67 Hanley Chiang and Chi-Kwong Li Linear maps leaving the alternating group invariant . . . . . . . . . . . . 69--80 G. W. Stewart Backward error bounds for approximate Krylov subspaces . . . . . . . . . . . . 81--86 Michael Doob Circulant graphs with $\det(A(G)) = \deg (G)$: codeterminants with $K_n$ . . . . 87--96 Adrian S. Lewis and Hristo S. Sendov Quadratic expansions of spectral functions . . . . . . . . . . . . . . . 97--121 L. Barchini and Mark R. Sepanski Finite-reductive dual pairs in $G_2$ . . 123--136 Susana Furtado and Laura Iglésias and Fernando C. Silva Products of matrices with prescribed spectra and ranks . . . . . . . . . . . 137--147 Abdo Y. Alfakih and Henry Wolkowicz Two theorems on Euclidean distance matrices and Gale transform . . . . . . 149--154 Marcin J. Zygmunt Matrix Chebyshev polynomials and continued fractions . . . . . . . . . . 155--168 Ernesto Vallejo The classification of minimal matrices of size $2 \times q$ . . . . . . . . . . 169--181 D. Fasino and L. Gemignani Structural and computational properties of possibly singular semiseparable matrices . . . . . . . . . . . . . . . . 183--198 Victor M. Adukov Fractional and Wiener--Hopf factorizations . . . . . . . . . . . . . 199--213 Katarína Cechlárová and R. A. Cuninghame-Green Interval systems of max-separable linear equations . . . . . . . . . . . . . . . 215--224 Dario A. Bini and Guy Latouche and Beatrice Meini Solving matrix polynomial equations arising in queueing problems . . . . . . 225--244 Shuqin Zhao and Yuan Hong On the bounds of maximal entries in the principal eigenvector of symmetric nonnegative matrix . . . . . . . . . . . 245--252 Zhiming Gong and M. Aldeen and L. Elsner A note on a generalized Cramer's rule 253--254 Anonymous Author index . . . . . . . . . . . . . . 255--255 Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 257--258 Anonymous Referees for volumes 321--340 . . . . . 259--262 Anonymous Author index to volumes 301--320 . . . . 263--273
R. Bhatia and C.-K. Li and K. Okubo and M. J. Tsatsomeros Dedication . . . . . . . . . . . . . . . 1--3 Chi-Kwong Li and Bit-Shun Tam and Nam-Kiu Tsing Linear maps preserving permutation and stochastic matrices . . . . . . . . . . 5--22 K. R. Parthasarathy The Bush matrix over a Galois field and error correcting quantum codes . . . . . 23--34 Chi-Kwong Li and Roy Mathias Interlacing inequalities for totally nonnegative matrices . . . . . . . . . . 35--44 Stephen J. Kirkland and Jason J. Molitierno and Michael Neumann and Bryan L. Shader On graphs with equal algebraic and vertex connectivity . . . . . . . . . . 45--56 Douglas R. Farenick and Panayiotis J. Psarrakos A triangle inequality in Hilbert modules over matrix algebras . . . . . . . . . . 57--67 Mao-Ting Chien and Hiroshi Nakazato The numerical range of linear pencils of $2$-by-$2$ matrices . . . . . . . . . . 69--100 Takayuki Furuta An operator monotone function and strictly chaotic order . . . . . . . . . 101--109 Takeaki Yamazaki On numerical range of the Aluthge transformation . . . . . . . . . . . . . 111--117 Masatoshi Fujii and Eizaburo Kamei and Ritsuo Nakamoto On a question of Furuta on chaotic order 119--127 Jerzy K. Baksalary and Oskar Maria Baksalary Commutativity of projectors . . . . . . 129--142 Leroy B. Beasley and Seok-Zun Song Linear operators that preserve zero-term rank over fields and rings . . . . . . . 143--149 Fumio Hiai and Xingzhi Zhan Inequalities involving unitarily invariant norms and operator monotone functions . . . . . . . . . . . . . . . 151--169 Jun Ichi Fujii and Masatoshi Fujii Kolmogorov's complexity for positive definite matrices . . . . . . . . . . . 171--180 Omar Hirzallah and Fuad Kittaneh Norm inequalities for weighted power means of operators . . . . . . . . . . . 181--193 Charles R. Johnson and Kazuyoshi Okubo Uniqueness of matrix square roots under a numerical range condition . . . . . . 195--199 Moto O'uchi Pseudo-multiplicative unitaries associated with inclusions of finite-dimensional $C^*$-algebras . . . 201--218 Che-Man Cheng and Roger A. Horn and Chi-Kwong Li Inequalities and equalities for the Cartesian decomposition of complex matrices . . . . . . . . . . . . . . . . 219--237 Linzhang Lu Perron complement and Perron root . . . 239--248 Mitsuru Uchiyama Mixed matrix (operator) inequalities . . 249--257 G. Corach and A. Maestripieri and D. Stojanoff Generalized Schur complements and oblique projections . . . . . . . . . . 259--272 Takahiko Nakazi and Takanori Yamamoto Two dimensional commutative Banach algebras and von Neumann inequality . . 273--290 Muneo Ch\=o and Raúl E. Curto and Tadasi Huruya $n$-Tuples of operators satisfying $_T(AB) = _T(BA)$ . . . . . . . . . . . 291--298 Hiroyuki Takagi and Sin-Ei Takahasi and Takeshi Miura Polynomial identities that imply commutativity for rings . . . . . . . . 299--307 Frank Hansen Convex trace functions of several variables . . . . . . . . . . . . . . . 309--315 Takahiro Sudo Structure of group $C^*$-algebras of the generalized disconnected Mautner groups 317--326 Harm Bart and Torsten Ehrhardt and Bernd Silbermann Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse . . . . . . . 327--344 Kôtarô Tanahashi and Atsushi Uchiyama Isolated point of spectrum of $p$-quasihyponormal operators . . . . . 345--350 Richard A. Brualdi Minimal nonnegative integral matrices and uniquely determined (0,1)-matrices 351--356 Bhaskar Bagchi and Tirthankar Bhattacharyya and Gadadhar Misra Some thoughts on Ando's theorem and Parrott's example . . . . . . . . . . . 357--367 Yuan-Chuan Li and Mau-Hsiang Shih Contractibility of compact contractions in Hilbert space . . . . . . . . . . . . 369--378 R. McEachin A connection between Schur multiplication and Fourier interpolation 379--389 Rajendra Bhatia and J. A. Dias da Silva Variation of induced linear operators 391--402 Maria Adam and John Maroulas On compressions of normal matrices . . . 403--418 Anonymous Author index . . . . . . . . . . . . . . 419--420
J. A. Dias da Silva and Hemar Godinho Generalized derivations and additive theory . . . . . . . . . . . . . . . . . 1--15 Fabian Wirth The generalized spectral radius and extremal norms . . . . . . . . . . . . . 17--40 Yongzhong Song A note on the variation of the spectrum of an arbitrary matrix . . . . . . . . . 41--46 Zhongshan Li and Frank J. Hall and Jeffrey L. Stuart Irreducible powerful ray pattern matrices . . . . . . . . . . . . . . . . 47--58 Guimei An and Jinchuan Hou Rank-preserving multiplicative maps on $B(X)$ . . . . . . . . . . . . . . . . . 59--78 J. A. Dias da Silva Colorings and equality of tensors . . . 79--91 Winfried K. Grassmann Real eigenvalues of certain tridiagonal matrix polynomials, with queueing applications . . . . . . . . . . . . . . 93--106 Michitomo Nishizawa Evaluation of a certain $q$-determinant 107--115 Musheng Wei and Wenbin Guo Reverse order laws for least squares $g$-inverses and minimum norm $g$-inverses of products of two matrices 117--132 Toma\vz Ko\vsir and Bor Plestenjak On stability of invariant subspaces of commuting matrices . . . . . . . . . . . 133--147 Hugo J. Woerdeman The Carathéodory-Toeplitz problem with partial data . . . . . . . . . . . . . . 149--161 Daniel Alpay and Vladimir Bolotnikov and H. Turgay Kaptano\uglu The Schur algorithm and reproducing kernel Hilbert spaces in the ball . . . 163--186 Andrew P. Mullhaupt and Kurt S. Riedel Low grade matrices and matrix fraction representations . . . . . . . . . . . . 187--201 Yaoping Hou and Jiongsheng Li Bounds on the largest eigenvalues of trees with a given size of matching . . 203--217 Anonymous Author Index . . . . . . . . . . . . . . 219--219
Guo-rong Wang and Lin Qiu Leverrier-Chebyshev algorithm for the singular pencils . . . . . . . . . . . . 1--8 Miroslav Fiedler and Thomas L. Markham Generalized totally nonnegative matrices 9--28 Heath M. Martin and Alexander Tovbis On formal solutions of linear matrix differential-difference equations . . . 29--42 Jia-Yu Shao and Hai-Ying Shan The solution of a problem on matrices having signed generalized inverses . . . 43--70 Antonio J. Durán and Emilio Defez Orthogonal matrix polynomials and quadrature formulas . . . . . . . . . . 71--84 Yoshio Agaoka An algorithm to determine the isomorphism classes of $4$-dimensional complex Lie algebras . . . . . . . . . . 85--118 N. W. Johnson and R. Kellerhals and J. G. Ratcliffe and S. T. Tschantz Commensurability classes of hyperbolic Coxeter groups . . . . . . . . . . . . . 119--147 Martin Gavalec Monotone eigenspace structure in max-min algebra . . . . . . . . . . . . . . . . 149--167 Holger Dette and William J. Studden Matrix measures, moment spaces and Favard's theorem for the interval $[0,1]$ and $[0,\infty)$ . . . . . . . . 169--193 Yao-Kun Wu and Rui-Zhong Jia and Qiao Li $g$-Circulant solutions to the $(0,1)$ matrix equation $A^m$ = $J_n$ . . . . . 195--224 Shaofang Hong On the factorization of LCM matrices on gcd-closed sets . . . . . . . . . . . . 225--233 Gorazd Le\vsnjak Additive preservers of numerical range 235--253 Huai-Xin Cao and Zong-Ben Xu and Jian-Hua Zhang and Wei-Hua Li Matrix-traces on $C^*$-algebra $M_n(A)$ 255--260 Anonymous Challenges in Matrix Theory 2002 . . . . 261--261 Olga Holtz and Hans Schneider Open problems on GKK-matrices . . . . . 263--267 Anonymous Author index . . . . . . . . . . . . . . 269--269
A. Behn and A. B. Van der Merwe An algorithmic version of the theorem by Latimer and MacDuffee for $2 \times 2$ integral matrices . . . . . . . . . . . 1--14 André C. M. Ran and Martine C. B. Reurings On the nonlinear matrix equation $X + A^*F(X)A = Q$: solutions and perturbation theory . . . . . . . . . . 15--26 X. Puerta and F. Puerta and J. Ferrer Global reduction to the Kronecker canonical form of a $C^r$-family of time-invariant linear systems . . . . . 27--45 Arthur O. Pittenger and Morton H. Rubin Convexity and the separability problem of quantum mechanical density matrices 47--71 Damjana Kokol-Bukov\vsek More on matrix semigroup homomorphisms 73--95 Miguel Carriegos and José A. Hermida-Alonso and Tomás Sánchez-Giralda Pole-shifting for linear systems over commutative rings . . . . . . . . . . . 97--107 D. D. Olesky and Aidan Roy and P. van den Driessche Maximal graphs and graphs with maximal spectral radius . . . . . . . . . . . . 109--130 E. Castillo and F. Jubete and R. E. Pruneda and C. Solares Obtaining simultaneous solutions of linear subsystems of inequalities and duals . . . . . . . . . . . . . . . . . 131--154 Maria Przybylska On matrix differential equations and abstract FG algorithm . . . . . . . . . 155--175 P. Favati and G. Lotti and O. Menchi A polynomial fit preconditioner for band Toeplitz matrices in image reconstruction . . . . . . . . . . . . . 177--197 W. L. Chooi and M. H. Lim Coherence invariant mappings on block triangular matrix spaces . . . . . . . . 199--238 Vladimir Bolotnikov A boundary Nevanlinna--Pick problem for a class of analytic matrix-valued functions in the unit ball . . . . . . . 239--260 Jeffrey L. Stuart and LeRoy Beasley and Bryan Shader Irreducible, pattern $k$-potent ray pattern matrices . . . . . . . . . . . . 261--271 Bernd Fritzsche and Bernd Kirstein and Mirko Mosch On block completion problems for Arov-normalized $j_{qq}$ $J_q$-elementary factors . . . . . . . . 273--291 Anonymous Author index . . . . . . . . . . . . . . 293--293
Baodong Zheng Decomposition of matrices into commutators of involutions . . . . . . . 1--7 Ji-Ming Guo and Shang-Wang Tan A conjecture on the second largest eigenvalue of a tree with perfect matchings . . . . . . . . . . . . . . . 9--15 Kenneth W. Holladay The distance matrix eigensystem of an equally spaced row of points . . . . . . 17--58 Martin Bracke and Sven Feldmann and Dieter Prätzel-Wolters Parameter depending state space descriptions of index-$2$-matrix polynomials . . . . . . . . . . . . . . 59--80 Antonio Cossidente and Alessandro Siciliano On tangent spaces and external flats to Grassmannians of lines over finite fields . . . . . . . . . . . . . . . . . 81--89 Roman Drnov\vsek and Heydar Radjavi and Peter Rosenthal A characterization of commutators of idempotents . . . . . . . . . . . . . . 91--99 Shenggui Zhang and Zhaolin Jiang and Sanyang Liu An application of the Gröbner basis in computation for the minimal polynomials and inverses of block circulant matrices 101--114 Chi-Kwong Li and Hans Schneider Orthogonality of matrices . . . . . . . 115--122 Jin-Long Shu and Yuan Hong and Kai Wen-Ren A sharp upper bound on the largest eigenvalue of the Laplacian matrix of a graph . . . . . . . . . . . . . . . . . 123--129 Irine Peng and Shayne Waldron Signed frames and Hadamard products of Gram matrices . . . . . . . . . . . . . 131--157 Mary Beth Ruskai and Stanislaw Szarek and Elisabeth Werner An analysis of completely-positive trace-preserving maps on $M_2$ . . . . . 159--187 Musheng Wei and Wenbin Guo On $g$-inverses of a bordered matrix: revisited . . . . . . . . . . . . . . . 189--204 Mao-Ting Chien and Hiroshi Nakazato and Panayiotis Psarrakos Point equation of the boundary of the numerical range of a matrix polynomial 205--217 Nicholas McCarthy and David Ogilvie and Ilya Spitkovsky and Nahum Zobin Birkhoff's theorem and convex hulls of Coxeter groups . . . . . . . . . . . . . 219--231 Anne Greenbaum Generalizations of the field of values useful in the study of polynomial functions of a matrix . . . . . . . . . 233--249 William F. Trench Spectral distribution of generalized Kac--Murdock--Szeg\Ho matrices . . . . . 251--273 Jeremy Haefner and Christopher J. Pappacena Automorphisms of tiled orders . . . . . 275--282 Fangyan Lu Multiplicative mappings of operator algebras . . . . . . . . . . . . . . . . 283--291 Anonymous Author index . . . . . . . . . . . . . . 293--293
K. R. Nagarajan and M. Paul Devasahayam and T. Soundararajan Products of three triangular matrices over commutative rings . . . . . . . . . 1--6 Charles R. Johnson and António Leal Duarte On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree . . . . . . . . . . . . 7--21 Baibing Li and Bart De Moor Identification of influential observations on total least squares estimates . . . . . . . . . . . . . . . 23--39 Xiaojing Yang A matrix inequality . . . . . . . . . . 41--47 J. Maroulas and P. J. Psarrakos and M. J. Tsatsomeros Perron--Frobenius type results on the numerical range . . . . . . . . . . . . 49--62 Caterina De Simone and Grigor Gasparyan and Paolo Nobili Non-regular square bipartite designs . . 63--85 Alberto Elduque Composition of quadratic forms and the Hurwitz-Radon function in characteristic $2$ . . . . . . . . . . . . . . . . . . 87--103 Kil-Chan Ha Positive projections onto spin factors 105--113 Kevin J. Dawson The evolution of a population under recombination: how to linearise the dynamics . . . . . . . . . . . . . . . . 115--137 Ronald B. Geskus A new proof of a theorem on M-matrices 139--144 Michael K. Ng and Karla Rost and You-Wei Wen On inversion of Toeplitz matrices . . . 145--151 Yonina C. Eldar Least-squares inner product shaping . . 153--174 Bojan Kuzma Additive mappings decreasing rank one 175--187 Gregor Dolinar and Peter\vSemrl Determinant preserving maps on matrix algebras . . . . . . . . . . . . . . . . 189--192 Susana Furtado and Charles R. Johnson On the number of unitary similarity classes in a C-S equivalence class: the normal case . . . . . . . . . . . . . . 193--202 Charles Ching-An Cheng Quadratic linear Keller maps . . . . . . 203--207 I. Yu. Domanov and M. M. Malamud Invariant and hyperinvariant subspaces of an operator $J^\alpha$ and related operator algebras in Sobolev spaces . . 209--230 Luca Ferrari and Renzo Pinzani A linear operator approach to succession rules . . . . . . . . . . . . . . . . . 231--246 Donald W. Robinson Outer inverses of matrices . . . . . . . 247--258 Ming-wei Wang An inequality for non-negative matrices II . . . . . . . . . . . . . . . . . . . 259--264 Guorong Wang The reverse order law for the Drazin inverses of multiple matrix products . . 265--272 sarah-marie belcastro and Thomas C. Hull Modelling the folding of paper into three dimensions using affine transformations . . . . . . . . . . . . 273--282 Wen Li and Ludwig Elsner and Linzhang Lu Comparisons of spectral radii and the theorem of Stein--Rosenberg . . . . . . 283--287 Anonymous Author index . . . . . . . . . . . . . . 289--290
Rafael Bru and Carmen Coll and Elena Sánchez Structural properties of positive linear time-invariant difference-algebraic equations . . . . . . . . . . . . . . . 1--10 Alan George and Khakim D. Ikramov Unitary similarity of matrices with quadratic minimal polynomials . . . . . 11--16 J. Mateja Convergence of scaled iterates by the Jacobi method . . . . . . . . . . . . . 17--53 Christian Mehl and Leiba Rodman Symmetric matrices with respect to sesquilinear forms . . . . . . . . . . . 55--75 José María González de Durana and Juan-Miguel Gracia Geometric multiplicity margin for a submatrix . . . . . . . . . . . . . . . 77--104 Feng-gao Li and Yang-xian Wang Subconstituents of dual polar graph in finite classical space III . . . . . . . 105--123 John C. Strikwerda A probabilistic analysis of asynchronous iteration . . . . . . . . . . . . . . . 125--154 Tatjana Stykel Numerical solution and perturbation theory for generalized Lyapunov equations . . . . . . . . . . . . . . . 155--185 Ferenc Móricz and Billy E. Rhoades An equivalent reformulation of summability by weighted mean methods, revisited . . . . . . . . . . . . . . . 187--192 Yves Langlois and Thomas Ransford Counterexample to a conjecture of Elsner on the spectral variation of matrices 193--195 Lajos Molnár Conditionally multiplicative maps on the set of all bounded observables preserving compatibility . . . . . . . . 197--201 Oscar Rojo The spectrum of the Laplacian matrix of a balanced binary tree . . . . . . . . . 203--219 M. Gulliksson and Xiao-Qing Jin and Yi-Min Wei Perturbation bounds for constrained and weighted least squares problems . . . . 221--232 Hans Christianson and Victor Reiner The critical group of a threshold graph 233--244 Nickolay T. Trendafilov and Ross A. Lippert The multimode Procrustes problem . . . . 245--264 V. Bolotnikov and L. Rodman Finite dimensional backward shift invariant subspaces of Arveson spaces 265--282 Anonymous Author index . . . . . . . . . . . . . . 283
Chi-Kwong Li and Bit-Shun Tam and Pei Yuan Wu The numerical range of a nonnegative matrix . . . . . . . . . . . . . . . . . 1--23 Vladimir Rako\vcevi\'c and Yimin Wei A weighted Drazin inverse and applications . . . . . . . . . . . . . . 25--39 You'an Cao and Zhonghu Chen and Chong Huang Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space . . . . . . . . . . . . . . 41--66 Bernard Hanzon and Raimund J. Ober State space calculations for discrete probability densities . . . . . . . . . 67--87 M. Robbé and M. Sadkane A priori error bounds on invariant subspace approximations by block Krylov subspaces . . . . . . . . . . . . . . . 89--103 Rosário Fernandes Covering numbers under small perturbations . . . . . . . . . . . . . 105--124 Hansjörg Linden Containment regions for zeros of polynomials from numerical ranges of companion matrices . . . . . . . . . . . 125--145 N. L. Bhanu Murthy and Murali K. Srinivasan The polytope of degree sequences of hypergraphs . . . . . . . . . . . . . . 147--170 R. Ben Taher and M. Rachidi Some explicit formulas for the polynomial decomposition of the matrix exponential and applications . . . . . . 171--184 P. A. Fillmore and W. E. Longstaff and G. W. MacDonald H. Radjavi and Y. Zhong Intersections of nest algebras in finite dimensions . . . . . . . . . . . . . . . 185--197 Georg Heinig On the reconstruction of Toeplitz matrix inverses from columns . . . . . . . . . 199--212 Francesca Albertini and Domenico D'Alessandro The Lie algebra structure and controllability of spin systems . . . . 213--235 Ji-guang Sun Condition numbers of algebraic Riccati equations in the Frobenius norm . . . . 237--261 LeRoy B. Beasley and Sang-Gu Lee and Seok-Zun Song Linear operators that preserve pairs of matrices which satisfy extreme rank properties . . . . . . . . . . . . . . . 263--272 Chin-Tzong Pang and Yung-Yih Lur and Sy-Ming Guu A new proof of Mayer's theorem . . . . . 273--278 G. M. L. Gladwell Total positivity and Toda flow . . . . . 279--284 Zhi-Hao Cao and Mei Wang A note on Krylov subspace methods for singular systems . . . . . . . . . . . . 285--288 M. Barraa Convexoid and generalized derivations 289--292 Anonymous Author index . . . . . . . . . . . . . . 293
V. D. Blondel and D. Hinrichsen and J. Rosenthal and P. Van Dooren Fourth special issue on linear systems and control . . . . . . . . . . . . . . 1--9 C. T. Abdallah and F. Amato and M. Ariola and P. Dorato and V. Koltchinskii Statistical learning methods in linear algebra and control problems: the example of finite-time control of uncertain linear systems . . . . . . . . 11--26 D. Alpay and V. Bolotnikov and L. Rodman Two-sided residue interpolation in matrix $H_2$ spaces with symmetries: conformal conjugate involutions . . . . 27--68 I. Baragaña and I. Zaballa Feedback invariants of restrictions and quotients: series connected systems . . 69--89 Vincent D. Blondel and Natacha Portier The presence of a zero in an integer linear recurrent sequence is NP-hard to decide . . . . . . . . . . . . . . . . . 91--98 A. Böttcher and S. M. Grudsky Can spectral value sets of Toeplitz band matrices jump? . . . . . . . . . . . . . 99--116 James V. Burke and Adrian S. Lewis and Michael L. Overton Two numerical methods for optimizing matrix stability . . . . . . . . . . . . 117--145 M. K. Çamlibel and J. M. Schumacher Existence and uniqueness of solutions for a class of piecewise linear dynamical systems . . . . . . . . . . . 147--184 Tobias Damm State-feedback $H^\infty$-type control of linear systems with time-varying parameter uncertainty . . . . . . . . . 185--210 A. Eremenko and A. Gabrielov Counterexamples to pole placement by static output feedback . . . . . . . . . 211--218 Augusto Ferrante and Giorgio Picci and Stefano Pinzoni Silverman algorithm and the structure of discrete-time stochastic systems . . . . 219--242 Gerhard Freiling A survey of nonsymmetric Riccati equations . . . . . . . . . . . . . . . 243--270 E. Fridman and U. Shaked $H_\infty$-control of linear state-delay descriptor systems: an LMI approach . . 271--302 P. A. Fuhrmann A study of behaviors . . . . . . . . . . 303--380 Y. Genin and R. \cStefan and P. Van Dooren Real and complex stability radii of polynomial matrices . . . . . . . . . . 381--410 B. K. Ghosh and X. A. Wang On minimal degree simultaneous pole assignment problems . . . . . . . . . . 411--433 Nicholas J. Higham and Françoise Tisseur More on pseudospectra for polynomial eigenvalue problems and applications in control theory . . . . . . . . . . . . . 435--453 Nicholas J. Higham and Françoise Tisseur and Paul M. Van Dooren Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems . . . . . . . . . . . 455--474 Bo Hu and Guisheng Zhai and Anthony N. Michel Hybrid static output feedback stabilization of second-order linear time-invariant systems . . . . . . . . . 475--485 Birgit Jacob and Juliette Leblond and Jean-Paul Marmorat and Jonathan R. Partington A constrained approximation problem arising in parameter identification . . 487--500 L. H. Keel and S. P. Bhattacharyya Root counting, phase unwrapping, stability and stabilization of discrete time systems . . . . . . . . . . . . . . 501--518 Vakhtang Lomadze Rosenbrock models and their homotopy equivalence . . . . . . . . . . . . . . 519--532 Henry O'Keeffe and Patrick Fitzpatrick Gröbner basis solutions of constrained interpolation problems . . . . . . . . . 533--551 M. A. Petersen and A. C. M. Ran Minimal nonsquare spectral factors . . . 553--565 M. A. Petersen and A. C. M. Ran Nonsquare spectral factors via factorizations of a unitary function . . 567--583 F. Puerta and X. Puerta On the geometry of the set of controllability subspaces of a pair $(A,B)$ . . . . . . . . . . . . . . . . 585--599 F. Puerta and X. Puerta and I. Zaballa A cellular decomposition of the manifold of observable conditioned invariant subspaces . . . . . . . . . . . . . . . 601--621 M. S. Ravi and Joachim Rosenthal and Uwe Helmke Output feedback invariants . . . . . . . 623--637 Carsten W. Scherer Structured finite-dimensional controller design by convex optimization . . . . . 639--669 D. C. Sorensen and A. C. Antoulas The Sylvester equation and approximate balanced reduction . . . . . . . . . . . 671--700 Satoru Takahashi and Bijoy K. Ghosh Canonical forms and parameter identification problems in perspective systems . . . . . . . . . . . . . . . . 701--717 Maria Elena Valcher On some special features which are peculiar to discrete time behaviors with trajectories on $Z_+$ . . . . . . . . . 719--737 Paolo Vettori and Sandro Zampieri Module theoretic approach to controllability of convolutional systems 739--759 Jeffrey Wood Key problems in the extension of module-behaviour duality . . . . . . . . 761--798 Bostwick F. Wyman Poles, zeros, and sheaf cohomology . . . 799--807 Xin Xin and Tsutomu Mita A simple state-space design of an interactor for a non-square system via system matrix pencil approach . . . . . 809--823 Anonymous Author index . . . . . . . . . . . . . . 825--826
Hans Schneider Helmut Wielandt 19 December 1910--14 February 2001: A personal memoir . . . . 1--3 Hans Schneider Wielandt's proof of the exponent inequality for primitive nonnegative matrices . . . . . . . . . . . . . . . . 5--10 Xiao-Dong Zhang and Jiong-Sheng Li The Laplacian spectrum of a mixed graph 11--20 Jerome Dancis Ranks and inertias of Hermitian block Toeplitz matrices . . . . . . . . . . . 21--32 E. Rogers and D. H. Owens Kronecker product based stability tests and performance bounds for a class of 2D continuous-discrete linear systems . . . 33--52 Torsten Ehrhardt and Frank-Olme Speck Transformation techniques towards the factorization of non-rational $2 \times 2$ matrix functions . . . . . . . . . . 53--90 Yeong-Jeu Sun Global stabilizability of uncertain systems with time-varying delays via dynamic observer-based output feedback 91--105 Joseph A. Ball and Vladimir Bolotnikov On a bitangential interpolation problem for contractive-valued functions on the unit ball . . . . . . . . . . . . . . . 107--147 Dragomir \vZ. \Dbarokovi\'c and Khakim D. Ikramov On the congruence of square real matrices . . . . . . . . . . . . . . . . 149--158 Leslie Hogben The symmetric $M$-matrix and symmetric inverse $M$-matrix completion problems 159--168 Qing-Wen Wang and Jian-Hua Sun and Shang-Zhi Li Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra . . . . . . . . . . . . 169--182 Herman J. Nieuwenhuis and Lambert Schoonbeek Stability of matrices with negative diagonal submatrices . . . . . . . . . . 183--196 Albert Compta and Josep Ferrer Matricial realizations of the solutions of the Carlson problem . . . . . . . . . 197--206 Bin Han Symmetry property and construction of wavelets with a general dilation matrix 207--225 Jerzy Filar and Henry A. Krieger and Zamir Syed Cesaro limits of analytically perturbed stochastic matrices . . . . . . . . . . 227--243 Si-Ju Kim and Bryan L. Shader On matrices which have signed null-spaces . . . . . . . . . . . . . . 245--255 Bo Henry Lindqvist On comparison of the Perron--Frobenius eigenvalues of two ML-matrices . . . . . 257--266 J. W. van der Woude The generic canonical form of a regular structured matrix pencil . . . . . . . . 267--288 Yizheng Fan Schur complements and its applications to symmetric nonnegative and $Z$-matrices . . . . . . . . . . . . . . 289--307 Anonymous Special Issue on Order Reduction of Large-Scale Systems . . . . . . . . . . 309--310 Anonymous Special Issue in honor of Peter Lancaster . . . . . . . . . . . . . . . 311 Anonymous Special Issue on Linear Algebra in Signal Processing . . . . . . . . . . . 313--314 Anonymous Special Issue on Large Scale Linear and $N$ \ldots . . . . . . . . . . . . . . . 315--316 Anonymous Author index . . . . . . . . . . . . . . 317--317
Simo Puntanen and George P. H. Styan and Hans Joachim Werner Preface . . . . . . . . . . . . . . . . 1--2 Bernhard F. Arnold and Peter Stahlecker Linear regression analysis using the relative squared error . . . . . . . . . 3--20 Jerzy K. Baksalary and Oskar Maria Baksalary and George P. H. Styan Idempotency of linear combinations of an idempotent matrix and a tripotent matrix 21--34 Jerzy K. Baksalary and Oskar Maria Baksalary and Tomasz Szulc A property of orthogonal projectors . . 35--39 Jerzy K. Baksalary and George P. H. Styan Generalized inverses of partitioned matrices in Banachiewicz--Schur form . . 41--47 J. Bénasséni A complementary proof of an eigenvalue property in correspondence analysis . . 49--51 Georgi N. Boshnakov Multi-companion matrices . . . . . . . . 53--83 Yasuko Chikuse Methods of density estimation on the Grassmann manifold . . . . . . . . . . . 85--102 S. W. Drury The canonical correlations of a $2 \times 2$ block matrix with given eigenvalues . . . . . . . . . . . . . . 103--117 Norbert Gaffke and Berthold Heiligers and Robert Offinger Isotropic discrete orientation distributions on the 3D special orthogonal group . . . . . . . . . . . . 119--139 Karl Gustafson Operator trigonometry of statistics and econometrics . . . . . . . . . . . . . . 141--158 Shuangzhe Liu Local influence in multivariate elliptical linear regression models . . 159--174 Shuangzhe Liu Several inequalities involving Khatri--Rao products of positive semidefinite matrices . . . . . . . . . 175--186 Chang-Yu Lu and Ning-Zhong Shi Admissible linear estimators in linear models with respect to inequality constraints . . . . . . . . . . . . . . 187--194 Jean-Michel Marin and Thierry Dhorne Linear Toeplitz covariance structure models with optimal estimators of variance components . . . . . . . . . . 195--212 Augustyn Markiewicz Estimation and experiments comparison with respect to the matrix risk . . . . 213--222 Heinz Neudecker and Götz Trenkler Third and fourth moment matrices of $\mbox{vec}X$ in multivariate analysis 223--229 Ingram Olkin The 70th anniversary of the distribution of random matrices: A survey . . . . . . 231--243 A. Phatak and P. M. Reilly and A. Penlidis The asymptotic variance of the univariate PLS estimator . . . . . . . . 245--253 Muni S. Srivastava and Dietrich von Rosen Regression models with unknown singular covariance matrix . . . . . . . . . . . 255--273 Weiguo Yang Convergence in the Ces\`aro sense and strong law of large numbers for nonhomogeneous Markov chains . . . . . . 275--288 Anonymous Call for Papers . . . . . . . . . . . . 289--290 Anonymous Author index . . . . . . . . . . . . . . 291--291 Anonymous List of Editors . . . . . . . . . . . . ii--iii
Li Yun Wang and Dao Ji Meng Some results on complete Lie superalgebras . . . . . . . . . . . . . 1--14 B. Codenotti and G. Resta Computation of sparse circulant permanents via determinants . . . . . . 15--34 Hirobumi Mizuno and Iwao Sato Weighted zeta functions of digraphs . . 35--48 Mike Boyle and Douglas Lind Small polynomial matrix presentations of nonnegative matrices . . . . . . . . . . 49--70 Jia-Yu Shao and Jin-Ling He Matrices with doubly signed generalized inverses . . . . . . . . . . . . . . . . 71--84 Beresford N. Parlett The (matrix) discriminant as a determinant . . . . . . . . . . . . . . 85--101 B. Kuzma Additive idempotence preservers . . . . 103--117 Antonio J. Durán and Beatriz Polo Gaussian quadrature formulae for matrix weights . . . . . . . . . . . . . . . . 119--146 Ole Christensen and Alexander M. Lindner Decomposition of Riesz frames and wavelets into a finite union of linearly independent sets . . . . . . . . . . . . 147--159 Marek Golasi\'nski and Francisco Gómez Ruiz On Grassmannians over *-rings . . . . . 161--172 Wai-Shun Cheung and Shaun Fallat and Chi-Kwong Li Multiplicative preservers on semigroups of matrices . . . . . . . . . . . . . . 173--186 Yongge Tian Upper and lower bounds for ranks of matrix expressions using generalized inverses . . . . . . . . . . . . . . . . 187--214 Katsutoshi Amano and Masaki Fujigami and Takeyoshi Kogiso Construction of irreducible relative invariant of the prehomogeneous vector space $(SL_5 \times GL_4, \Lambda^2(C^5) \otimes C^4)$ . . . . . . . . . . . . . 215--222 Josep Clotet and M. Dolors Magret and Xavier Puerta Perturbation of quadrics . . . . . . . . 223--239 Inder Bir S. Passi and Klaus W. Roggenkamp and Marcos Soriano Integral Jordan decomposition of matrices . . . . . . . . . . . . . . . . 241--261 M. V. Catalisano and A. V. Geramita and A. Gimigliano Ranks of tensors, secant varieties of Segre varieties and fat points . . . . . 263--285 Yong-Liang Pan Sharp upper bounds for the Laplacian graph eigenvalues . . . . . . . . . . . 287--295 Tatjana Stykel Stability and inertia theorems for generalized Lyapunov equations . . . . . 297--314 Anonymous Author index . . . . . . . . . . . . . . 315--315 Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Anonymous Preface . . . . . . . . . . . . . . . . 1--2 Norman Biggs Chromatic polynomials and representations of the symmetric group 3--26 Yaoping Hou and Ivan Gutman and Ching-Wah Woo Unicyclic graphs with maximal energy . . 27--36 Drago\vs Cvetkovi\'c and Patrick Fowler and Peter Rowlinson and Dragan Stevanovi\'c Constructing fullerene graphs from their eigenvalues and angles . . . . . . . . . 37--56 Michael Doob and Willem H. Haemers The complement of the path is determined by its spectrum . . . . . . . . . . . . 57--65 Dragan Stevanovi\'c On the components of NEPS of connected bipartite graphs . . . . . . . . . . . . 67--78 Willem H. Haemers and Elisabeth Kuijken The Hermitian two-graph and its code . . 79--93 Zhou Bo The changes in indices of modified graphs . . . . . . . . . . . . . . . . . 95--101 Elias M. Hagos Some results on graph spectra . . . . . 103--111 Carla Silva Oliveira and Nair Maria Maia de Abreu and Samuel Jurkiewicz The characteristic polynomial of the Laplacian of graphs in $(a,b)$-linear classes . . . . . . . . . . . . . . . . 113--121 D. D. Olesky and Bryan Shader and P. van den Driessche Exponents of tuples of nonnegative matrices . . . . . . . . . . . . . . . . 123--134 P. Rowlinson and P. S. Jackson Star complements and switching in graphs 135--143 Irene Sciriha Polynomial reconstruction and terminal vertices . . . . . . . . . . . . . . . . 145--156 Paul Terwilliger The subconstituent algebra of a distance-regular graph; thin modules with endpoint one . . . . . . . . . . . 157--187 Drago\vs Cvetkovi\'c Graphs with least eigenvalue $-2$: a historical survey and recent developments in maximal exceptional graphs . . . . . . . . . . . . . . . . . 189--210 Pierre Hansen and Hadrien Mélot Computers and discovery in algebraic graph theory . . . . . . . . . . . . . . 211--230 István Kovács On automorphisms of circulant digraphs on $p^m$ vertices, $p$ an odd prime . . 231--252 Pavel Chebotarev and Rafig Agaev Forest matrices around the Laplacian matrix . . . . . . . . . . . . . . . . . 253--274 Anonymous Author index . . . . . . . . . . . . . . 275--275 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Asa Packer Symmetric conference matrices and locally largest regular crosspolytopes in cubes . . . . . . . . . . . . . . . . 1--13 Yuri Bahturin and Vesselin Drensky Graded polynomial identities of matrices 15--34 Roger A. Horn Normal matrices with a dominant eigenvalue and an eigenvector with no zero entries . . . . . . . . . . . . . . 35--44 Baodong Zheng and Hong You Products of commutators of transvections over local rings . . . . . . . . . . . . 45--57 Ivan M. Trishin On reduction of elements of the full matrix superalgebra to a block-diagonal form by conjugation . . . . . . . . . . 59--82 Marco A. López and María J. Cánovas and Juan Parra Stability of the feasible set for linear inequality systems: A carrier index set approach . . . . . . . . . . . . . . . . 83--105 Tatjana Petek Spectrum and commutativity preserving mappings on triangular matrices . . . . 107--122 Fangyan Lu Additivity of Jordan maps on standard operator algebras . . . . . . . . . . . 123--131 Zhengke Miao and Jiongsheng Li Inertially arbitrary $(2r-1)$-diagonal sign patterns . . . . . . . . . . . . . 133--141 Shuh-Jye Chern Stability theory for linear dissipative Hamiltonian systems . . . . . . . . . . 143--162 M. Gassó and Juan R. Torregrosa A $PLU$-factorization of rectangular matrices by the Neville elimination . . 163--171 Gelu Popescu Meromorphic interpolation in several variables . . . . . . . . . . . . . . . 173--196 Chi-Kwong Li and Leiba Rodman and Peter \vSemrl Linear transformations between matrix spaces that map one rank specific set into another . . . . . . . . . . . . . . 197--208 Gabriel T. Pr\vajitur\va When is $\mbox{Hyperlat}T = \mbox{Hyperlatf}(T)$ in finite dimension? . . . . . . . . . . . . . . . 209--215 Y. S. Choi and I. Koltracht and P. J. McKenna and N. Savytska Global monotone convergence of Newton iteration for a nonlinear eigen-problem 217--228 M. S. Lambrou and W. E. Longstaff Small transitive families of subspaces in finite dimensions . . . . . . . . . . 229--245 Gi-Sang Cheon and Jin-Soo Kim Factorial Stirling matrix and related combinatorial sequences . . . . . . . . 247--258 J. C. Basilio Inversion of polynomial matrices via state-space . . . . . . . . . . . . . . 259--271 Ellen E. Eischen and Charles R. Johnson and Karen Lange and David P. Stanford Patterns, linesums, and symmetry . . . . 273--289 S. D. Agashe An algorithm for a result on minimal polynomials . . . . . . . . . . . . . . 291--293 Pei Yuan Wu Numerical range of Aluthge transform of operator . . . . . . . . . . . . . . . . 295--298 Chun-Hua Guo A note on the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation . . . . . . . . . . . . 299--302 I. C. Araújo and M. P. de Oliveira Volume and variance in the linear statistical model . . . . . . . . . . . 303--306 Anonymous Call for papers: special issue in honor of Heydar Radjavi . . . . . . . . . . . 307--308 Anonymous Author index . . . . . . . . . . . . . . 309--310 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Anonymous Preface . . . . . . . . . . . . . . . . 1--3 Nicholas J. Higham and Françoise Tisseur Bounds for eigenvalues of matrix polynomials . . . . . . . . . . . . . . 5--22 Achiya Dax The Orthogonal Rayleigh Quotient Iteration (ORQI) method . . . . . . . . 23--43 Benedikt Großer and Bruno Lang An $O(n^2)$ algorithm for the bidiagonal SVD . . . . . . . . . . . . . . . . . . 45--70 Jean-Pierre Dedieu and Françoise Tisseur Perturbation theory for homogeneous polynomial eigenvalue problems . . . . . 71--94 Andrew V. Knyazev and Klaus Neymeyr A geometric theory for preconditioned inverse iteration III: A short and sharp convergence estimate for generalized eigenvalue problems . . . . . . . . . . 95--114 Gerard L. G. Sleijpen and Jasper van den Eshof On the use of harmonic Ritz pairs in approximating internal eigenpairs . . . 115--137 I. S. Dhillon and A. N. Malyshev Inner deflation for symmetric tridiagonal matrices . . . . . . . . . . 139--144 Michiel E. Hochstenbach and Gerard L. G. Sleijpen Two-sided and alternating Jacobi--Davidson . . . . . . . . . . . . 145--172 S. K. Godunov and M. Sadkane Some new algorithms for the spectral dichotomy methods . . . . . . . . . . . 173--194 Ivica Naki\'c Relative perturbation theory for a class of diagonalizable Hermitian matrix pairs 195--217 Rui Ralha One-sided reduction to bidiagonal form 219--238 Ilse C. F. Ipsen A note on unifying absolute and relative perturbation bounds . . . . . . . . . . 239--253 Sanja Singer and Sa\vsa Singer Rounding error and perturbation bounds for the symplectic QR factorization . . 255--279 Christopher Beattie and Ilse C. F. Ipsen Inclusion regions for matrix eigenvalues 281--291 Adam W. Bojanczyk An implicit Jacobi-like method for computing generalized hyperbolic SVD . . 293--307 Kre\vsimir Veseli\'c Bounds for exponentially stable semigroups . . . . . . . . . . . . . . . 309--333 Jan Brandts The Riccati algorithm for eigenvalues and invariant subspaces of matrices with inexpensive action . . . . . . . . . . . 335--365 Ivan Slapni\vcar and Ninoslav Truhar Relative perturbation theory for hyperbolic singular value problem . . . 367--386 Ivan Slapni\vcar Highly accurate symmetric eigenvalue decomposition and hyperbolic SVD . . . . 387--424 Anonymous Author index . . . . . . . . . . . . . . 425--425 Anonymous Editorial board . . . . . . . . . . . . ii--iii
D. Alpay and C. Dubi Carathéodory--Fejér interpolation in the ball . . . . . . . . . . . . . . . . . . 1--19 Xiaojing Yang Necessary conditions of Hurwitz polynomials . . . . . . . . . . . . . . 21--27 Zhibin Yan and Hong You Two-dimensional representations of the free group with two generators over a finite field . . . . . . . . . . . . . . 29--36 Mustapha Ra\"\issouli and Fatima Leazizi Continued fraction expansion of the geometric matrix mean and applications 37--57 Jaspal Singh Aujla Some norm inequalities for completely monotone functions --- II . . . . . . . 59--65 Susana Furtado and Charles R. Johnson Spectral variation under congruence for a nonsingular matrix with $0$ on the boundary of its field of values . . . . 67--78 Shaun M. Fallat and Miroslav Fiedler and Thomas L. Markham Generalized oscillatory matrices . . . . 79--90 J. M. Peña On nonsingular sign regular matrices . . 91--100 Tine De Cat and Karel Dekimpe and Paul Igodt Translations in simply transitive affine actions of Heisenberg type Lie groups 101--111 Yanling Shao and Yubin Gao Sign patterns that allow diagonalizability . . . . . . . . . . . 113--119 Yasuo Teranishi Equitable switching and spectra of graphs . . . . . . . . . . . . . . . . . 121--131 L. Yu. Kolotilina Nonsingularity/singularity criteria for nonstrictly block diagonally dominant matrices . . . . . . . . . . . . . . . . 133--159 Yi Wang Linear transformations preserving log-concavity . . . . . . . . . . . . . 161--167 Christoph Schmoeger On the operator equation $e^A = e^B$ . . 169--179 Teijo Arponen A matrix approach to polynomials . . . . 181--196 Mihail Konstantinov and Vera Angelova and Petko Petkov and Dawei Gu and Vassilios Tsachouridis Perturbation bounds for coupled matrix Riccati equations . . . . . . . . . . . 197--218 Jinchuan Hou and Jianlian Cui Additive maps on standard operator algebras preserving invertibilities or zero divisors . . . . . . . . . . . . . 219--233 Arthur O. Pittenger Unextendible product bases and the construction of inseparable states . . . 235--248 Enide Andrade Martins and Fernando C. Silva On the eigenvalues of Jordan products 249--262 Ninoslav Truhar and Ren-Cang Li A $sin 2\Theta$ theorem for graded indefinite Hermitian matrices . . . . . 263--276 Kil-Chan Ha A class of atomic positive linear maps in matrix algebras . . . . . . . . . . . 277--290 Anonymous Call for Papers: Special Issue on Positivity in Linear Algebra . . . . . . 291--292 Anonymous Author index . . . . . . . . . . . . . . 293--293 Anonymous List of Editors . . . . . . . . . . . . ii--iii
James V. Bondar Schur majorization inequalities for symmetrized sums with applications to tensor products . . . . . . . . . . . . 1--13 Jadranka Mi\'ci\'c and Josip Pe\vcari\'c and Yuki Seo Function order of positive operators based on the Mond-Pe\vcari\'c method . . 15--34 Dragan Stevanovi\'c Bounding the largest eigenvalue of trees in terms of the largest vertex degree 35--42 Panayiotis J. Psarrakos and Michael J. Tsatsomeros The Perron eigenspace of nonnegative almost skew-symmetric matrices and Levinger's transformation . . . . . . . 43--57 Steven Duplij On supermatrix idempotent operator semigroups . . . . . . . . . . . . . . . 59--81 Nir Cohen and Izchak Lewkowicz A pair of matrices sharing common Lyapunov solutions: A closer look . . . 83--104 You'an Cao and Zuowen Tan Automorphisms of the Lie algebra of strictly upper triangular matrices over a commutative ring . . . . . . . . . . . 105--122 Boris Mirman UB-matrices and conditions for Poncelet polygon to be closed . . . . . . . . . . 123--150 Miguel A. Goberna and Valentín Jornet and Margarita M. L. Rodríguez On linear systems containing strict inequalities . . . . . . . . . . . . . . 151--171 Enide Andrade Martins and Fernando C. Silva On the invariant polynomials of Jordan products . . . . . . . . . . . . . . . . 173--189 Bryan E. Cain Group homomorphisms $h_i$ such that $h_1(x_1)+ \cdots + h_n(x_n) = y$ is solvable . . . . . . . . . . . . . . . . 191--195 Türker Bìyìko\uglu A discrete nodal domain theorem for trees . . . . . . . . . . . . . . . . . 197--205 Yizheng Fan and Jiongsheng Li On graphs with small number of Laplacian eigenvalues greater than two . . . . . . 207--213 Elisabeth Remm and Michel Goze Affine structures on abelian Lie groups 215--230 Alfred S. Cavaretta and Laura Smithies Lipschitz-type bounds for the map $A \rightarrow |A|$ on $L(H)$ . . . . . . . 231--235 J. R. Cardoso and F. Silva Leite The Moser--Veselov equation . . . . . . 237--248 Guoxing Ji Similarity-preserving linear maps on $B(H)$ . . . . . . . . . . . . . . . . . 249--257 Jean-Christophe Bourin Singular values of compressions, restrictions and dilations . . . . . . . 259--272 Anonymous Call for Papers: Special Issue in honor of Graciano de Oliveira . . . . . . . . 273--273 Anonymous Call for Papers: Special Issue on Determinants and the Legacy of Sir Thomas Muir . . . . . . . . . . . . . . 275--276 Anonymous Author index to volume 360 . . . . . . . 277--277 Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 279--283 Anonymous Referees for volumes 341--360 . . . . . 285--288 Anonymous Author index to volumes 341--360 . . . . 289--302 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Anonymous Preface: The Ninth Conference of the International Linear Algebra Society, Haifa, Israel 2001 . . . . . . . . . . . 1--1 M. Zippin A characterization of the Euclidean space . . . . . . . . . . . . . . . . . 3--6 S. Kirkland An upper bound on the Perron value of an almost regular tournament matrix . . . . 7--22 Dvora Peretz Mathematics, simple or abstract? Cognitive abstraction processes in learning mathematics . . . . . . . . . . 23--39 Achiya Dax The adventures of a simple algorithm . . 41--61 Rohan Hemasinha and James R. Weaver and Stephen J. Kirkland and Jeffrey L. Stuart Properties of the Brualdi--Li tournament matrix . . . . . . . . . . . . . . . . . 63--73 Richard A. Brualdi and Geir Dahl Majorization-constrained doubly stochastic matrices . . . . . . . . . . 75--97 Roger A. Horn and Gregory G. Piepmeyer Two applications of the theory of primary matrix functions . . . . . . . . 99--106 R. B. Bapat Outer inverses: Jacobi type identities and nullities of submatrices . . . . . . 107--120 Bryan L. Shader Set-systems with signed solutions . . . 121--132 J. R. Bunch and R. C. Le Borne and I. K. Proudler Applying numerical linear algebra techniques to analyzing algorithms in signal processing . . . . . . . . . . . 133--146 Frank Uhlig A new unified, balanced, and conceptual approach to teaching linear algebra . . 147--159 Peter \vSemrl Hua's fundamental theorems of the geometry of matrices and related results 161--179 Albert Compta and Josep Ferrer and Ferran Puerta Miniversal deformations of marked matrices . . . . . . . . . . . . . . . . 181--201 Genrich R. Belitskii and Vladimir V. Sergeichuk Complexity of matrix problems . . . . . 203--222 R. S. Leite and C. Tomei Parameterization by polytopes of intersections of orbits by conjugation 223--243 Rosa Amélia Martins and João Filipe Queiró $2$-widths of the Hölder unit balls . . . 245--255 S. V. Savchenko On the Perron roots of principal submatrices of co-order one of irreducible nonnegative matrices . . . . 257--277 Anonymous Author index . . . . . . . . . . . . . . 279--279 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Jody M. Lockhart and William P. Wardlaw Chain addition cycles . . . . . . . . . 1--10 N. Guglielmi and M. Zennaro On the limit products of a family of matrices . . . . . . . . . . . . . . . . 11--27 M. J. Cantero and L. Moral and L. Velázquez Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle . . . . . . . . . . . . . . . . . 29--56 Seung-Hyeok Kye Facial structures for unital positive linear maps in the two-dimensional matrix algebra . . . . . . . . . . . . . 57--73 Jason J. Molitierno and Michael Neumann On trees with perfect matchings . . . . 75--85 Jeffrey Stuart Reducible pattern $k$-potent ray pattern matrices . . . . . . . . . . . . . . . . 87--99 Ruiming Li Relationship of eigenvalues for USAOR iterative method applied to a class of $p$-cyclic matrices . . . . . . . . . . 101--108 Xiao-Dong Zhang and Rong Luo The Laplacian eigenvalues of mixed graphs . . . . . . . . . . . . . . . . . 109--119 Ji-Ming Guo The limit points of Laplacian spectra of graphs . . . . . . . . . . . . . . . . . 121--128 Mark A. Mills The intersection of the similarity and conjunctivity equivalence classes . . . 129--136 Miroslav Fiedler Moore--Penrose biorthogonal systems in Euclidean spaces . . . . . . . . . . . . 137--143 Chong-guang Cao and Xian Zhang Additive rank-one preserving surjections on symmetric matrix spaces . . . . . . . 145--151 Joab R. Winkler A companion matrix resultant for Bernstein polynomials . . . . . . . . . 153--175 Terry Lenker and Sivaram Narayan Spectrally stable matrices . . . . . . . 177--189 Zhen-yun Peng and Xi-yan Hu and Lei Zhang On the construction of a Jacobi matrix from its mixed-type eigenpairs . . . . . 191--200 Guoyang Liu and Lewis C. Robertson Structure theorem for the rotation group over $Q$ . . . . . . . . . . . . . . . . 201--209 Ji-gunag Sun and Shu-Fang Xu Perturbation analysis of the maximal solution of the matrix equation $X + A^*X^1A = P$. II . . . . . . . . . . . . 211--228 Jiu Ding New perturbation results on pseudo-inverses of linear operators in Banach spaces . . . . . . . . . . . . . 229--235 Zhong-Zhi Bai and Chuan-Long Wang Convergence theorems for parallel multisplitting two-stage iterative methods for mildly nonlinear systems . . 237--250 Richard William Farebrother and Jürgen Groß and Sven-Oliver Troschke Matrix representation of quaternions . . 251--255 D. Calvetti and L. Reichel and A. Shuibi Enriched Krylov subspace methods for ill-posed problems . . . . . . . . . . . 257--273 William Banks and Asma Harcharras and Stefan Neuwirth and Eric Ricard Matrix inequalities with applications to the theory of iterated kernels . . . . . 275--286 Fei Zhou A rank criterion for the order of a pole of a matrix function . . . . . . . . . . 287--292 Oscar Rojo and Matilde Peña A note on the integer eigenvalues of the Laplacian matrix of a balanced binary tree . . . . . . . . . . . . . . . . . . 293--300 Anonymous Author index . . . . . . . . . . . . . . 301--302 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Anonymous Preface: Special Issue on Nonnegative matrices, $M$-matrices and their generalizations . . . . . . . . . . . . 1--1 R. B. Bapat Perron eigenvector of the Tsetlin matrix 3--16 F. Barioli and A. Berman The maximal cp-rank of rank $k$ completely positive matrices . . . . . . 17--33 Tobias Damm Minimal representations of inverted Sylvester and Lyapunov operators . . . . 35--41 T. Damm and D. Hinrichsen Newton's method for concave operators with resolvent positive derivatives in ordered Banach spaces . . . . . . . . . 43--64 Ludwig Elsner and Andreas Frommer and Reinhard Nabben and Hans Schneider and Daniel B. Szyld Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices . . . . 65--80 Ludwig Elsner and Daniel Hershkowitz On the spectra of close-to-Schwarz matrices . . . . . . . . . . . . . . . . 81--88 K.-H. Förster and B. Nagy On spectra of expansion graphs and matrix polynomials . . . . . . . . . . . 89--101 Jürgen Garloff Intervals of almost totally positive matrices . . . . . . . . . . . . . . . . 103--108 Lixing Han and Michael Neumann and Jianhong Xu On the roots of certain polynomials arising from the analysis of the Nelder--Mead simplex method . . . . . . 109--124 Gerd Herzog Generalized $M$-matrices and ordered Banach algebras . . . . . . . . . . . . 125--131 S\lawomir Jenek and Tomasz Szulc and Frank Uhlig On the class of $D_k$-symmetrizable matrices . . . . . . . . . . . . . . . . 133--145 Charles R. Johnson and António Leal Duarte and Carlos M. Saiago and Brian D. Sutton and Andrew J. Witt On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph . . 147--159 Raphael Loewy and Bit-Shun Tam CP rank of completely positive matrices of order $5$ . . . . . . . . . . . . . . 161--176 Ivo Marek and Petr Mayer Convergence theory of some classes of iterative aggregation/disaggregation methods for computing stationary probability vectors of stochastic matrices . . . . . . . . . . . . . . . . 177--200 Günter Mayer and Ingo Warnke On the fixed points of the interval function $[f]([x]) = [A][x]+[b]$ . . . . 201--216 Judith J. McDonald The peripheral spectrum of a nonnegative matrix . . . . . . . . . . . . . . . . . 217--235 Siegfried M. Rump On $P$-matrices . . . . . . . . . . . . 237--250 Siegfried M. Rump Perron--Frobenius theory for complex matrices . . . . . . . . . . . . . . . . 251--273 Bryan L. Shader and Saib Suwilo Exponents of nonnegative matrix pairs 275--293 Bit-Shun Tam and Hans Schneider Linear equations over cones and Collatz--Wielandt numbers . . . . . . . 295--332 Anonymous Author index . . . . . . . . . . . . . . 333--334 Anonymous List of editors . . . . . . . . . . . . ii--iii
R. Durán Díaz and J. Muñoz Masqué and A. Peinado Domínguez Classifying quadratic maps from plane to plane . . . . . . . . . . . . . . . . . 1--12 Jorma Kaarlo Merikoski and Ravinder Kumar Characterizations and lower bounds for the spread of a normal matrix . . . . . 13--31 Holger Dette and William J. Studden Quadrature formulas for matrix measures: a geometric approach . . . . . . . . . . 33--64 L. Yu. Kolotilina Generalizations of the Ostrowski-Brauer theorem . . . . . . . . . . . . . . . . 65--80 Glória Cravo and Fernando C. Silva Eigenvalues of matrices with several prescribed blocks, II . . . . . . . . . 81--89 M. I. Ostrovskii Minimal-volume projections of cubes and totally unimodular matrices . . . . . . 91--103 Daniel Hershkowitz and Nathan Keller Positivity of principal minors, sign symmetry and stability . . . . . . . . . 105--124 Zbigniew Jelonek Affine automorphisms that are isometries 125--134 Jun-Liang Cai and Bo-Ying Wang The characterization of symmetric primitive matrices with exponent $n-1$ 135--145 Fu-Zhao Zhou and Xi-Yan Hu and Lei Zhang The solvability conditions for the inverse eigenvalue problems of centro-symmetric matrices . . . . . . . 147--160 Zhenyue Zhang and Lixin Wu Optimal low-rank approximation to a correlation matrix . . . . . . . . . . . 161--187 R. Alam and S. Bora Stability of eigenvalues and spectral decompositions under linear perturbation 189--211 Hwa-Long Gau and Pei Yuan Wu Condition for the numerical range to contain an elliptic disc . . . . . . . . 213--222 Gi-Sang Cheon and Suk-Geun Hwang and Bryan L. Shader and Seok-Zun Song Permanents of woven matrices . . . . . . 223--233 Heike Fassbender and Khakim D. Ikramov Computing matrix-vector products with centrosymmetric and centrohermitian matrices . . . . . . . . . . . . . . . . 235--241 Jian Shen and Cynthia J. Wyels On the number of arcs in primitive digraphs with large exponents . . . . . 243--251 A. Hadjidimos and D. Noutsos and M. Tzoumas More on modifications and improvements of classical iterative schemes for $M$-matrices . . . . . . . . . . . . . . 253--279 Manuela S. Silva and Teresa P. de Lima Looking for nonnegative solutions of a Leontief dynamic model . . . . . . . . . 281--316 Tatjana Petek and Humberto Sarria Spectrum and commutativity preserving mappings on $H_2$ . . . . . . . . . . . 317--319 Masaya Matsuura On the Craig-Sakamoto theorem and Olkin's determinantal result . . . . . . 321--323 Anonymous Author index . . . . . . . . . . . . . . 325--326 Anonymous Lists of editors . . . . . . . . . . . . ii--iii
Anonymous Preface: Linear Algebra Methods in Representation Theory . . . . . . . . . 1--2 Manfred J. Bauch Another algorithm for nonnegative matrices . . . . . . . . . . . . . . . . 3--12 Jens Bender and Klaus Bongartz Minimal singularities in orbit closures of matrix pencils . . . . . . . . . . . 13--24 Raf Bocklandt Symmetric quiver settings with a regular ring of invariants . . . . . . . . . . . 25--43 Vitalij M. Bondarenko Linear operators on $S$-graded vector spaces . . . . . . . . . . . . . . . . . 45--90 Sheila Brenner On the kernel of an irreducible map . . 91--97 Sheila Brenner and M. C. R. Butler and Alastair D. King Irreducible maps and bilinear forms . . 99--105 Thomas Brüstle On positive roots of pg-critical algebras . . . . . . . . . . . . . . . . 107--114 Thomas Brüstle and Vladimir V. Sergeichuk Estimate of the number of one-parameter families of modules over a tame algebra 115--133 José A. de la Peña Periodic Coxeter matrices . . . . . . . 135--142 Vlastimil Dlab and Piroska Lakatos On spectral radii of Coxeter transformations . . . . . . . . . . . . 143--153 M. Domokos On the dimension of faithful modules over finite dimensional basic algebras 155--157 Peter Dräxler Tame biextensions of derived tame hereditary algebras . . . . . . . . . . 159--167 María Andrea Gatica and María Julia Redondo Hochschild cohomology of incidence algebras as one-point extensions . . . . 169--181 Elísabet Gunnlaugsdóttir Monoidal structure of the category of $u^+_q$-modules . . . . . . . . . . . . 183--199 Yang Han and Mulan Liu Regular points in system spaces . . . . 201--213 Lutz Hille Quivers, cones and polytopes . . . . . . 215--237 Lutz Hille and Gerhard Röhrle Variation on a theme of Richardson . . . 239--246 Amrey Krause Algebraic computations in derived categories . . . . . . . . . . . . . . . 247--266 Henning Krause A short proof for Auslander's defect formula . . . . . . . . . . . . . . . . 267--270 S. G. Kuz'min and A. N. Zubkov Rings of invariants of $2 \times 2$ matrices in positive characteristic . . 271--278 Helmut Lenzing and Liane Hasenberg Additive functions on quivers . . . . . 279--289 Jürgen Müller A note on applications of the `Vector Enumerator' algorithm . . . . . . . . . 291--300 R. Nörenberg From elementary calculations to Hall polynomials . . . . . . . . . . . . . . 301--309 F. Okoh and F. A. Zorzitto Curves arising from Kronecker modules 311--348 Serge Ovsienko Strongly nilpotent matrices and Gelfand-Zetlin modules . . . . . . . . . 349--367 Changchang Xi and Dajing Xiang Cellular algebras and Cartan matrices 369--388 Alexander Zavadskij Tame equipped posets . . . . . . . . . . 389--465 Anonymous Author Index . . . . . . . . . . . . . . 467--467 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Anonymous Preface: Special Issue on ``Structured Matrices: Analysis, Algorithms and Applications'' . . . . . . . . . . . . . 1--3 Carlo J. Accettella and Gianna M. Del Corso and Giovanni Manzini Inversion of two level circulant matrices over $Z_p$ . . . . . . . . . . 5--23 Dario A. Bini and Albrecht Böttcher Polynomial factorization through Toeplitz matrix computations . . . . . . 25--37 Dario A. Bini and Guy Latouche and Beatrice Meini Solving nonlinear matrix equations arising in Tree-Like stochastic processes . . . . . . . . . . . . . . . 39--64 Alessandro Bortoletti and Carmine Di Fiore On a set of matrix algebras related to discrete Hartley-type transforms . . . . 65--85 A. Böttcher and M. Embree and V. I. Sokolov On large Toeplitz band matrices with an uncertain block . . . . . . . . . . . . 87--97 D. Calvetti and L. Reichel Pole placement preconditioning . . . . . 99--120 G. Casciola and F. Fabbri and L. B. Montefusco An application of fast factorization algorithms in Computer Aided Geometric Design . . . . . . . . . . . . . . . . . 121--138 Raymond H. Chan and Tony F. Chan and Lixin Shen and Zuowei Shen Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction . . 139--155 Moody T. Chu and Robert E. Funderlic and Robert J. Plemmons Structured low rank approximation . . . 157--172 F. Di Benedetto The $m$th difference operator applied to $L^2$ functions on a finite interval . . 173--198 F. Diele and I. Sgura Centrosymmetric isospectral flows and some inverse eigenvalue problems . . . . 199--214 Carmine Di Fiore and Filomena Lepore and Paolo Zellini Hartley-type algebras in displacement and optimization strategies . . . . . . 215--232 L. Gemignani A superfast solver for Sylvester's resultant linear systems generated by a stable and an anti-stable polynomial . . 233--255 Georg Heinig and Karla Rost Centrosymmetric and centro-skewsymmetric Toeplitz-plus-Hankel matrices and Bezoutians . . . . . . . . . . . . . . . 257--281 Xiao-Qing Jin and Siu-Long Lei Sine transform based preconditioners for solving constant-coefficient first-order PDEs . . . . . . . . . . . . . . . . . . 283--294 Philippe Lemmerling and Nicola Mastronardi and Sabine Van Huffel Efficient implementation of a structured total least squares based speech compression method . . . . . . . . . . . 295--315 Michael K. Ng and Zhong-Zhi Bai A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc--Galerkin linear systems . . . . . 317--335 A. Nieslony and G. Steidl Approximate factorizations of Fourier matrices with nonequispaced knots . . . 337--351 Daniel Potts Fast algorithms for discrete polynomial transforms on arbitrary grids . . . . . 353--370 S. Serra Capizzano Generalized locally Toeplitz sequences: spectral analysis and applications to discretized partial differential equations . . . . . . . . . . . . . . . 371--402 Paolo Tilli Universal bounds on the convergence rate of extreme Toeplitz eigenvalues . . . . 403--416 William F. Trench Absolute equal distribution of the spectra of Hermitian matrices . . . . . 417--431 E. E. Tyrtyshnikov and N. L. Zamarashkin A general equidistribution theorem for the roots of orthogonal polynomials . . 433--439 Marc Van Barel and Georg Heinig and Peter Kravanja A superfast method for solving Toeplitz linear least squares problems . . . . . 441--457 Cornelis V. M. van der Mee and Sebastiano Seatzu and Giuseppe Rodriguez Semi-infinite multi-index perturbed block Toeplitz systems . . . . . . . . . 459--482 Anonymous Author Index . . . . . . . . . . . . . . 483--484 Anonymous Editorial board . . . . . . . . . . . . ii--iii
L. Miranian and M. Gu Strong rank revealing LU factorizations 1--16 Shuhuang Xiang On an inequality for the Hadamard product of an $M$-matrix or an $H$-matrix and its inverse . . . . . . . 17--27 Boris Lavri\vc Monotonicity and $^*$ orthant-monotonicity of certain maximum norms . . . . . . . . . . . . . . . . . 29--36 Yung-Yih Lur and Chin-Tzong Pang and Sy-Ming Guu On simultaneously nilpotent fuzzy matrices . . . . . . . . . . . . . . . . 37--45 Jigen Peng and Zong-Ben Xu A note on Söderlind's conjecture . . . . 47--57 Pengtong Li and Jipu Ma Ring isomorphisms and pentagon subspace lattices . . . . . . . . . . . . . . . . 59--66 Roman Hilscher and Vera Zeidan Symplectic difference systems: variable stepsize discretization and discrete quadratic functionals . . . . . . . . . 67--104 W. L. Chooi and M. H. Lim and Peter\vSemrl Adjacency preserving maps on upper triangular matrix algebras . . . . . . . 105--130 William F. Trench Absolute equal distribution of families of finite sets . . . . . . . . . . . . . 131--146 Teresa H. Chu On semimonotone matrices with nonnegative principal minors . . . . . . 147--154 Toma\vz Ko\vsir The Cayley--Hamilton theorem and inverse problems for multiparameter systems . . 155--163 Ilya Zavorin and Dianne P. O'Leary and Howard Elman Complete stagnation of GMRES . . . . . . 165--183 José María Ancochea Bermúdez and Rutwig Campoamor Completable filiform Lie algebras . . . 185--191 José María Ancochea Bermúdez and Rutwig Campoamor On characteristically nilpotent Lie algebras of type $Q$ . . . . . . . . . . 193--212 Wu Jing and Pengtong Li and Shijie Lu Additive mappings that preserve rank one nilpotent operators . . . . . . . . . . 213--224 Tongsong Jiang and Musheng Wei On solutions of the matrix equations $X - AXB = C$ and $X - A\bar{X}B = C$ . . . 225--233 Rok Stra\vsek Uniform primeness of the Jordan algebra of hermitian quaternion matrices . . . . 235--242 Juan Rada Characteristic polynomial of catacondensed systems . . . . . . . . . 243--253 Jiu Ding and L. Richard Hitt and Xin-Min Zhang Markov chains and dynamic geometry of polygons . . . . . . . . . . . . . . . . 255--270 V. Bolotnikov and A. Kheifets and L. Rodman Pairs of functions with indefinite Pick matrices . . . . . . . . . . . . . . . . 271--290 Muriel J. Skoug and Richard D. Hill and Joseph R. Siler On a lattice of hermitian-preserving cones . . . . . . . . . . . . . . . . . 291--300 Herbert Karner and Josef Schneid and Christoph W. Ueberhuber Spectral decomposition of real circulant matrices . . . . . . . . . . . . . . . . 301--311 Peter Butkovi\vc Max-algebra: the linear algebra of combinatorics? . . . . . . . . . . . . . 313--335 Dragan Stevanovi\'c Remarks on graphs with majority of eigenvalues at most $1$ . . . . . . . . 337--340 LeRoy B. Beasley and Sang-Gu Lee and You-Ho Lee A characterization of strong preservers of matrix majorization . . . . . . . . . 341--346 Anonymous Erratum to: ``Ranks of tensors, secant varieties of Segre varieties and fat points'' [Linear Algebra Appl. 355 (2002) 263--285] . . . . . . . . . . . . 347--348 Anonymous Author index . . . . . . . . . . . . . . 349--350 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Hongguo Xu An SVD-like matrix decomposition and its applications . . . . . . . . . . . . . . 1--24 C. Jordán and J. R. Torregrosa and A. M. Urbano Completions of partial $P$-matrices with acyclic or non-acyclic associated graph 25--51 Oscar Rojo and Ricardo L. Soto Existence and construction of nonnegative matrices with complex spectrum . . . . . . . . . . . . . . . . 53--69 Jairo Bochi Inequalities for numerical invariants of sets of matrices . . . . . . . . . . . . 71--81 Xin-Guo Liu and Hua Gao On the positive definite solutions of the matrix equations $X^s \pm A^T X^{-t} A = I_n$ . . . . . . . . . . . . . . . . 83--97 Shencan Chen Some determinantal inequalities for Hadamard product of matrices . . . . . . 99--106 Glória Cravo and Fernando C. Silva The number of nonconstant invariant polynomials of matrices with several prescribed blocks . . . . . . . . . . . 107--116 Daniele A. Gewurz Enumeration of orbits on cycles for linear and affine groups . . . . . . . . 117--127 Wayne Barrett and Stephen Pierce Null spaces of correlation matrices . . 129--157 Jean-Christophe Bourin Total dilations . . . . . . . . . . . . 159--169 Geir Dahl The doubly graded matrix cone and Ferrers matrices . . . . . . . . . . . . 171--190 Bojana Zalar On semigroups of normal matrices . . . . 191--195 Jose A. Hermida-Alonso and M. T. Trobajo The dynamic feedback equivalence over principal ideal domains . . . . . . . . 197--208 L. H. Harper and D. Dreier The edge-isoperimetric problem on the $600$-vertex regular solid . . . . . . . 209--228 M. Radjabalipour Additive mappings on von Neumann algebras preserving absolute values . . 229--241 You Gao Lattices generated by orbits of subspaces under finite singular unitary group and its characteristic polynomials 243--268 Kinkar ch. Das An improved upper bound for Laplacian graph eigenvalues . . . . . . . . . . . 269--278 C. Brezinski and M. Redivo Zaglia A Schur complement approach to a general extrapolation algorithm . . . . . . . . 279--301 J. M. Varah Positive definite Hankel matrices of minimal condition . . . . . . . . . . . 303--314 D. de Werra Partitioning the edge set of a bipartite graph into chain packings: complexity of some variations . . . . . . . . . . . . 315--327 R. Alam and S. Bora Effect of linear perturbation on spectra of matrices . . . . . . . . . . . . . . 329--342 R. Mahony and P.-A. Absil The continuous-time Rayleigh quotient flow on the sphere . . . . . . . . . . . 343--357 Hwa-Long Gau and Pei Yuan Wu Finite Blaschke products of contractions 359--370 Guoxing Ji Asymptotic similarity-preserving linear maps on $B(H)$ . . . . . . . . . . . . . 371--378 Ji-Ming Guo On the Laplacian spectral radius of a tree . . . . . . . . . . . . . . . . . . 379--385 Anonymous Author index . . . . . . . . . . . . . . 387--388 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Konstantin E. Avrachenkov and Moshe Haviv Perturbation of null spaces with application to the eigenvalue problem and generalized inverses . . . . . . . . 1--25 Takayuki Furuta and Mariko Giga A complementary result of Kantorovich type order preserving inequalities by Mi\'ci\'c--Pe\vcari\'c--Seo . . . . . . 27--40 Stefano Serra Capizzano and Cristina Tablino Possio Analysis of preconditioning strategies for collocation linear systems . . . . . 41--75 Ivica Naki\'c and Kre\vsimir Veseli\'c Wielandt and Ky-Fan theorem for matrix pairs . . . . . . . . . . . . . . . . . 77--93 Yu. A. Bahturin and V. Drensky Identities of bilinear mappings and graded polynomial identities of matrices 95--112 Daniel Alpay and Tomas Azizov and Aad Dijksma and Heinz Langer The Schur algorithm for generalized Schur functions III: $J$-unitary matrix polynomials on the circle . . . . . . . 113--144 Werner Balser Linear systems with nilpotent leading term . . . . . . . . . . . . . . . . . . 145--152 F. S. V. Bazán Error analysis of signal zeros: a projected companion matrix approach . . 153--167 Ricardo L. Soto Existence and construction of nonnegative matrices with prescribed spectrum . . . . . . . . . . . . . . . . 169--184 Ivan Correa and Irvin Roy Hentzel and Luiz Antonio Peresi On the solvability of the commutative power-associative nilalgebras of dimension $6$ . . . . . . . . . . . . . 185--192 Jiangnan Fan Determinants and multiplicative functionals on quaternion matrices . . . 193--201 Vilma A. Oliveira and Marcelo C. M. Teixeira and Lúcia Cossi Stabilizing a class of time delay systems using the Hermite-Biehler theorem . . . . . . . . . . . . . . . . 203--216 Jaspal Singh Aujla and Fernando C. Silva Weak majorization inequalities and convex functions . . . . . . . . . . . . 217--233 A. Cachafeiro and F. Marcellán and C. Pérez Lebesgue perturbation of a quasi-definite Hermitian functional. The positive definite case . . . . . . . . . 235--250 Hua Bai On the critical group of the $n$-cube 251--261 Jinchuan Hou and Jianlian Cui Rank-$1$ preserving linear maps on nest algebras . . . . . . . . . . . . . . . . 263--277 Geoffrey R. Goodson and Roger A. Horn and Dennis I. Merino Quasi-real normal matrices and eigenvalue pairings . . . . . . . . . . 279--294 Assaf Goldberger and Michael Neumann Multilinear functional inequalities involving permanents, determinants, and other multilinear functions of nonnegative matrices and $M$-matrices 295--310 Victor Tan and Fei Wang On determinant preserver problems . . . 311--317 Martin Gavalec The general trapezoidal algorithm for strongly regular max-min matrices . . . 319--338 Li Yun Wang and Dao Ji Meng Some complete Lie superalgebras . . . . 339--349 Anonymous Author index . . . . . . . . . . . . . . 351--352 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Abdo Y. Alfakih On the uniqueness of Euclidean distance matrix completions . . . . . . . . . . . 1--14 Mohammad H. Ahmadi and Jae-Hyun Baek and Suk-Geun Hwang Permanents of doubly stochastic trees 15--24 Wai-Leong Chooi and Ming-Huat Lim Some linear preserver problems on block triangular matrix algebras . . . . . . . 25--39 Adam Coffman Real congruence of complex matrix pencils and complex projections of real Veronese varieties . . . . . . . . . . . 41--83 Antonio Vera-López and J. M. Arregi Conjugacy classes in unitriangular matrices . . . . . . . . . . . . . . . . 85--124 Rajendra Bhatia Partial traces and entropy inequalities 125--132 Yu. M. Arlinski and A. B. Popov On sectorial matrices . . . . . . . . . 133--146 Masatoshi Ito and Hiroshi Nakazato and Kazuyoshi Okubo and Takeaki Yamazaki On generalized numerical range of the Aluthge transformation . . . . . . . . . 147--161 Xian Zhang and Mei-yu Cheng The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation $AXA^* = B$ . . . . . . 163--174 An Chang and Qiongxiang Huang Ordering trees by their largest eigenvalues . . . . . . . . . . . . . . 175--184 Dianne P. O'Leary Scaling symmetric positive definite matrices to prescribed row sums . . . . 185--191 Javier Peña A characterization of the distance to infeasibility under block-structured perturbations . . . . . . . . . . . . . 193--216 Stanislav Kruglyak and Vyacheslav Rabanovich and Yuri\uì Samo\uìlenko Decomposition of a scalar matrix into a sum of orthogonal projections . . . . . 217--225 Pedro Patrício The Moore--Penrose inverse of a factorization . . . . . . . . . . . . . 227--235 An Chang and Feng Tian On the spectral radius of unicyclic graphs with perfect matchings . . . . . 237--250 L. A.-M. Hanna On the classification of the Lie algebras $L_r^s$ . . . . . . . . . . . . 251--256 P. Lancaster and A. S. Markus and F. Zhou A wider class of stable gyroscopic systems . . . . . . . . . . . . . . . . 257--267 Fu-Rong Lin and Wai-Ki Ching and Michael K. Ng Discrete wavelet transforms for Toeplitz matrices . . . . . . . . . . . . . . . . 269--285 Lajos Molnár Preservers on Hilbert space effects . . 287--300 Chung-Chou Jiang and Kung-Hwang Kuo On normal extensions of submatrices . . 301--314 J. A. Dias da Silva and Hemar Godinho Critical polynomials related to generalized derivations . . . . . . . . 315--339 Rajae Ben Taher and Mustapha Rachidi On the matrix powers and exponential by the $r$-generalized Fibonacci sequences methods: the companion matrix case . . . 341--353 M. Seetharama Gowda and Yoon Song and G. Ravindran On some interconnections between strict monotonicity, globally uniquely solvable, and P properties in semidefinite linear complementarity problems . . . . . . . . . . . . . . . . 355--368 C. Bessenrodt and M. R. Pournaki and A. Reifegerste A note on the orthogonal basis of a certain full symmetry class of tensors 369--374 Anatoly N. Sherstnev Two-dimensional reductions of the cone of positive diagonal operators in 2 . . 375--378 Anonymous Author index . . . . . . . . . . . . . . 379--380 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Hubert Schwetlick and Uwe Schnabel Iterative computation of the smallest singular value and the corresponding singular vectors of a matrix . . . . . . 1--30 Y. Hachez and P. Van Dooren Elliptic and hyperbolic quadratic eigenvalue problems and associated distance problems . . . . . . . . . . . 31--44 Felix Goldberg On completely positive graphs and their complements . . . . . . . . . . . . . . 45--51 P. Fischer and J. D. Stegeman Fractional Hadamard powers of positive semidefinite matrices . . . . . . . . . 53--74 Douglas R. Farenick and Barbara A. F. Pidkowich The spectral theorem in quaternions . . 75--102 Fang-Guo Ren and Hong-Ke Du and Huai-xin Cao The intersection of the spectra of operator completions . . . . . . . . . . 103--109 C. Koukouvinos and E. Lappas and M. Mitrouli and Jennifer Seberry An algorithm to find formulae and values of minors for Hadamard matrices: II . . 111--124 Sven Feldmann and Patrick Lang and Dieter Prätzel-Wolters Parameter influence on the zeros of network determinants . . . . . . . . . . 125--146 William A. Adkins and Mark G. Davidson The Cayley--Hamilton and Frobenius theorems via the Laplace transform . . . 147--152 Y. Eidelman and I. Gohberg Fast inversion algorithms for a class of structured operator matrices . . . . . . 153--190 Richard A. Brualdi and Geir Dahl Matrices of zeros and ones with given line sums and a zero block . . . . . . . 191--207 Anke Kalauch On maximum principles for $M$-operators 209--224 Suk-Geun Hwang and Ik-Pyo Kim and Si-Ju Kim and Xiao-Dong Zhang Tight sign-central matrices . . . . . . 225--240 Martin Gavalec and Ján Plávka Strong regularity of matrices in general max--min algebra . . . . . . . . . . . . 241--254 Fangyan Lu and Pengtong Li Jordan isomorphisms of $\mathcal{J}$-subspace lattice algebras 255--264 Bas Lemmens and Onno Van Gaans Iteration of linear $p$-norm nonexpansive maps . . . . . . . . . . . 265--276 D. Alpay and C. Dubi Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball . . . . . . . . . . . . . . . . 277--285 Gregor Dolinar Maps on matrix algebras preserving idempotents . . . . . . . . . . . . . . 287--300 Manuel O'Ryan and Daniel B. Shapiro Centers of higher degree forms . . . . . 301--314 A. Malyshev and M. Sadkane Condition numbers for Lanczos bidiagonalization with complete reorthogonalization . . . . . . . . . . 315--331 Pilar Benito and Cristina Draper and Alberto Elduque Models of the octonions and $G_2$ . . . 333--359 Ying-Fen Lin Commutativity-preserving maps on Lie ideals of prime algebras . . . . . . . . 361--368 K. Okubo On weakly unitarily invariant norm and the Aluthge transformation . . . . . . . 369--375 Anonymous Author index . . . . . . . . . . . . . . 377--378 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Bernd Fritzsche and Bernd Kirstein and Andreas Lasarow On a moment problem for rational matrix-valued functions . . . . . . . . 1--31 Ji-guang Sun Perturbation analysis of the matrix equation $X + Q + A^H(\hat{X} - C)^(-1)A$ . . . . . . . . . . . . . . . 33--51 R. Campoamor-Stursberg A graph theoretical determination of solvable complete rigid Lie algebras . . 53--66 Wensheng Cao and Xiantao Wang Friedland--Hersonsky problem for matrix algebra . . . . . . . . . . . . . . . . 67--78 Ákos László A generalization of the bounded real lemma . . . . . . . . . . . . . . . . . 79--103 Olga Holtz Hermite--Biehler, Routh--Hurwitz, and total positivity . . . . . . . . . . . . 105--110 C. Mendes Araújo and Juan R. Torregrosa and Ana M. Urbano $N$-matrix completion problem . . . . . 111--125 Ismo Korkee and Pentti Haukkanen On meet and join matrices associated with incidence functions . . . . . . . . 127--153 Pengtong Li and Fangyan Lu and Jipu Ma Invertibility preserving linear maps on $\mathcal{J}$-subspace lattice algebras 155--166 Vladimir Strauss On the bicommutant for one type of $J$-symmetric nilpotent algebras in Krein spaces . . . . . . . . . . . . . . 167--180 Alberto Seeger and Mounir Torki On eigenvalues induced by a cone constraint . . . . . . . . . . . . . . . 181--206 Jerzy K. Baksalary and Oskar Maria Baksalary and Götz Trenkler A revisitation of formulae for the Moore--Penrose inverse of modified matrices . . . . . . . . . . . . . . . . 207--224 Dorota Kurowicka and Roger Cooke A parameterization of positive definite matrices in terms of partial correlation vines . . . . . . . . . . . . . . . . . 225--251 Boris G. Zaslavsky and Judith J. McDonald A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices . . . . . . . . 253--285 Xiao Min Tang Linear operators preserving adjoint matrix between matrix spaces . . . . . . 287--293 Yuhai Zhang On Hermitian positive definite solutions of matrix equation $X + A^*X^{-2}A = I$ 295--304 Aharon Atzmon and Allan Pinkus Rank restricting functions . . . . . . . 305--323 Miroslav Fiedler A note on companion matrices . . . . . . 325--331 Juan Rada and Antonio Tineo Polygonal chains with minimal energy . . 333--344 Anonymous Author index . . . . . . . . . . . . . . 345--345 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Suk-Geun Hwang and Arnold R. Kräuter and Bryan L. Shader and Jia-Yu Shao Special Issue on the Combinatorial Matrix Theory Conference . . . . . . . . 1--3 Steve Kirkland A note on limit points for algebraic connectivity . . . . . . . . . . . . . . 5--11 Leslie Hogben Matrix completion problems for pairs of related classes of matrices . . . . . . 13--29 Shaun M. Fallat and Steve Kirkland and Sukanta Pati On graphs with algebraic connectivity equal to minimum edge density . . . . . 31--50 Richard A. Brualdi Linear preservers and diagonal hypergraphs . . . . . . . . . . . . . . 51--65 LeRoy B. Beasley and Steve Kirkland A note on $k$-primitive directed graphs 67--74 Gwang-Yeon Lee and Jin-Soo Kim The linear algebra of the $k$-Fibonacci matrix . . . . . . . . . . . . . . . . . 75--87 Gi-Sang Cheon and Suk-Geun Hwang and Seog-Hoon Rim and Seok-Zun Song Matrices determined by a linear recurrence relation among entries . . . 89--99 Shao-Fei Du and Jin Ho Kwak and Ming-Yao Xu Linear criteria for lifting automorphisms of elementary abelian regular coverings . . . . . . . . . . . 101--119 Yaokun Wu and Qiao Li An approach to solving $A^k = J - I$ . . 121--142 Miroslav Fiedler Basic matrices . . . . . . . . . . . . . 143--151 Ian M. Wanless A lower bound on the maximum permanent in $\Lambda_n^k$ . . . . . . . . . . . . 153--167 Bolian Liu Generalized exponents of boolean matrices . . . . . . . . . . . . . . . . 169--182 Youngmee Koh and Sangwook Ree On $k$-hypertournament matrices . . . . 183--195 Seok-Zun Song and Suk-Geun Hwang and Seog-Hoon Rim and Gi-Sang Cheon Extremes of permanents of (0,1)-matrices 197--210 Gi-Sang Cheon and Suk-Geun Hwang and Seog-Hoon Rim and Bryan L. Shader and Seok-Zun Song Sparse orthogonal matrices . . . . . . . 211--222 Jia-Yu Shao and Jin-Ling He and Hai-Ying Shan Number of nonzero entries of $S^2NS$ matrices and matrices with signed generalized inverses . . . . . . . . . . 223--239 Edwin R. van Dam and Willem H. Haemers Which graphs are determined by their spectrum? . . . . . . . . . . . . . . . 241--272 Brendan D. McKay and Xiaoji Wang Asymptotic enumeration of $0$--$1$ matrices with equal row sums and equal column sums . . . . . . . . . . . . . . 273--287 Han Hyuk Cho and Suh-Ryung Kim Factorizations of matrices over semirings . . . . . . . . . . . . . . . 289--296 Jennifer Seberry and Tianbing Xia and Christos Koukouvinos and Marilena Mitrouli The maximal determinant and subdeterminants of $\pm 1$ matrices . . 297--310 Charles R. Johnson and António Leal Duarte and Carlos M. Saiago Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: the case of generalized stars and double generalized stars . . . . . . . . . . . 311--330 Anonymous Author index . . . . . . . . . . . . . . 331--332 Anonymous Editorial board . . . . . . . . . . . . ii--iii
K. V. Fernando Accurate ordering of eigenvectors and singular vectors without eigenvalues and singular values . . . . . . . . . . . . 1--17 Jean-Christophe Bourin Total dilations II . . . . . . . . . . . 19--29 Boris Lavri The isometries and the $G$-invariance of certain seminorms . . . . . . . . . . . 31--40 Frank Okoh and Frank Zorzitto Commutative algebras of rational function matrices as endomorphisms of Kronecker modules I . . . . . . . . . . 41--62 Frank Okoh and Frank Zorzitto Commutative algebras of rational function matrices as endomorphisms of Kronecker modules II . . . . . . . . . . 63--85 Yijia Tan On the eigenproblem of matrices over distributive lattices . . . . . . . . . 87--106 Francesco Barioli and Clorinda De Vivo and Claudia Metelli On vector spaces with distinguished subspaces and redundant base . . . . . . 107--126 Alexander Dvorsky Index of parabolic and seaweed subalgebras of $\mathfrak{so}_n$ . . . . 127--142 Huiqing Xie and Hua Dai On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencils . . . . . . . . . . . . . . . . 143--158 A. Bhaya and E. Kaszkurewicz and R. Santos Characterizations of classes of stable matrices . . . . . . . . . . . . . . . . 159--174 Bernardo M. Ábrego and Silvia Fernández-Merchant and Michael G. Neubauer and William Watkins $D$-optimal weighing designs for $n \equiv -1 \bmod 4$ objects and a large number of weighings . . . . . . . . . . 175--218 L. Elsner and D. D. Olesky and P. van den Driessche Low rank perturbations and the spectrum of a tridiagonal sign pattern . . . . . 219--230 Vance Faber and Anne Greenbaum and Donald E. Marshall The polynomial numerical hulls of Jordan blocks and related matrices . . . . . . 231--246 Bao Qi Feng Equivalence constants for certain matrix norms . . . . . . . . . . . . . . . . . 247--253 Xiang-Dong Hou Elementary divisors of tensor products and $p$-ranks of binomial matrices . . . 255--274 Cesar A. Escobar and José Martínez-Bernal and Rafael H. Villarreal Relative volumes and minors in monomial subrings . . . . . . . . . . . . . . . . 275--290 Weijun Liu Finite linear spaces admitting a projective group $\mbox{PSU}(3,q)$ with $q$ even . . . . . . . . . . . . . . . . 291--305 Yi-Zheng Fan On spectral integral variations of mixed graphs . . . . . . . . . . . . . . . . . 307--316 Tai-Bin Gan and Ting-Zhu Huang Simple criteria for nonsingular $H$-matrices . . . . . . . . . . . . . . 317--326 Anonymous Author index . . . . . . . . . . . . . . 327--328 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Hein van der Holst Graphs whose positive semi-definite matrices have nullity at most two . . . 1--11 Frieder Knüppel and Klaus Nielsen $k$-fold anti-invariant subspaces of a linear mapping . . . . . . . . . . . . . 13--19 Ond\vrej Do\vslý and Roman Hilscher and Vera Zeidan Nonnegativity of discrete quadratic functionals corresponding to symplectic difference systems . . . . . . . . . . . 21--44 Piotr J. Wojciechowski Directed maximal partial orders of matrices . . . . . . . . . . . . . . . . 45--49 Mark C. Ho A rough estimate for the spectral radius of the sampling operator . . . . . . . . 51--61 Michiel E. Hochstenbach and Bor Plestenjak Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem . . . . . . . . . . . 63--81 Jerzy K. Baksalary and Oskar Maria Baksalary and Xiaoji Liu Further properties of the star, left-star, right-star, and minus partial orderings . . . . . . . . . . . . . . . 83--94 Il Bong Jung and Eungil Ko and Chunji Li and Sang Soo Park Embry truncated complex moment problem 95--114 K. Gallivan and A. Vandendorpe and P. Van Dooren Model reduction via truncation: an interpolation point of view . . . . . . 115--134 J. W. van der Woude On the existence of a common solution $X$ to the matrix equations $A_iXB_j = C_{ij} , (i, j) \subset \Gamma$ . . . . 135--145 Zhen-yun Peng and Xi-yan Hu The reflexive and anti-reflexive solutions of the matrix equation $AX = B$ . . . . . . . . . . . . . . . . . . . 147--155 B. L. Chalmers and M. P. Prophet and J. M. Ribando Simplicial cones and the existence of shape-preserving cyclic operators . . . 157--170 Jerzy K. Baksalary and Oskar Maria Baksalary and Xiaoji Liu Further relationships between certain partial orders of matrices and their squares . . . . . . . . . . . . . . . . 171--180 Shizhen Cheng and Yongge Tian Two sets of new characterizations for normal and EP matrices . . . . . . . . . 181--195 Giovanni Resta and Giovanni Sburlati On the number of different permanents of some sparse $(0,1)$-circulant matrices 197--209 Rajendra Bhatia On the exponential metric increasing property . . . . . . . . . . . . . . . . 211--220 Bahman Kalantari Semidefinite programming and matrix scaling over the semidefinite cone . . . 221--243 S. Akbari and H.-R. Fana\"\i and K. Mahmoudian On the matrices with constant determinant and permanent over roots of unity . . . . . . . . . . . . . . . . . 245--249 Takayuki Furuta Operator inequalities associated with $A \log A$ via Specht ratio . . . . . . . . 251--273 William F. Trench A note on asymptotic zero distribution of orthogonal polynomials . . . . . . . 275--281 Xian Zhang Linear operators that preserve pairs of matrices which satisfy extreme rank properties --- a supplementary version 283--290 Rolando Cavazos-Cadena An alternative derivation of Birkhoff's formula for the contraction coefficient of a positive matrix . . . . . . . . . . 291--297 T. Ando and T. Yamazaki The iterated Aluthge transforms of a $2$-by-$2$ matrix converge . . . . . . . 299--309 Fangyan Lu Jordan triple maps . . . . . . . . . . . 311--317 Anonymous Author index . . . . . . . . . . . . . . 319--320 Anonymous List of Editors . . . . . . . . . . . . ii--iii
Shmuel Friedland and Pedro J. Freitas $p$-Metrics on and their Busemann compactifications . . . . . . . . . . . 1--18 Shmuel Friedland and Pedro J. Freitas Revisiting the Siegel upper half plane I 19--44 Pedro J. Freitas and Shmuel Friedland Revisiting the Siegel upper half plane II . . . . . . . . . . . . . . . . . . . 45--67 R. B. Bapat and S. K. Jain and John Tynan Decomposition of generalized polynomial symmetric matrices . . . . . . . . . . . 69--83 Hugo J. Woerdeman The separability problem and normal completions . . . . . . . . . . . . . . 85--95 Suk-Geun Hwang and Eun-Young Lee Permanents of doubly stochastic matrices with diagonal submatrices of fixed order 97--108 Yuming Shi On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system . . . . . . . . . . . 109--123 Hamid-Reza Fana\"\i On ray-nonsingular matrices . . . . . . 125--134 Huiqing Liu and Mei Lu and Feng Tian On the Laplacian spectral radius of a graph . . . . . . . . . . . . . . . . . 135--141 Eugene Gutkin and Edmond A. Jonckheere and Michael Karow Convexity of the joint numerical range: topological and differential geometric viewpoints . . . . . . . . . . . . . . . 143--171 Kinkar Ch. Das A characterization on graphs which achieve the upper bound for the largest Laplacian eigenvalue of graphs . . . . . 173--186 Guang-Hui Xu and Jia-Yu Shao Conditional $S$-matrices . . . . . . . . 187--206 Xiao-Dong Zhang Two sharp upper bounds for the Laplacian eigenvalues . . . . . . . . . . . . . . 207--213 Hai-Ying Shan and Jia-Yu Shao Matrices with totally signed powers . . 215--224 Makoto Tagami Symmetric association schemes attached to finite upper half planes over rings 225--234 Vladimir V. Sergeichuk Computation of canonical matrices for chains and cycles of linear mappings . . 235--263 N. Bebiano and J. da Providência, Jr. and R. Lemos Matrix inequalities in statistical mechanics . . . . . . . . . . . . . . . 265--273 A. Toni Lower bounds on zero-one matrices . . . 275--282 Ming-Chao Cai and Xiao-Qing Jin A note on T. Chan's preconditioner . . . 283--290 Susana Furtado and Charles R. Johnson Congruential automorphism groups of general matrices . . . . . . . . . . . . 291--298 Xingzhi Zhan On some matrix inequalities . . . . . . 299--303 Anonymous Author index . . . . . . . . . . . . . . 305--305 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Catherine Finet and Hervé Queffélec Numerical range of composition operators on a Hilbert space of Dirichlet series 1--10 Martin Aigner and Hein van der Holst Interlace polynomials . . . . . . . . . 11--30 Roderick B. Holmes and Vern I. Paulsen Optimal frames for erasures . . . . . . 31--51 Jones Colombo and Plamen Koshlukov Central polynomials in the matrix algebra of order two . . . . . . . . . . 53--67 Jun Ichi Fujii and Yuki Seo and Masaru Tominaga Kantorovich type operator inequalities via the Specht ratio . . . . . . . . . . 69--81 Mikhail Klin and Akihiro Munemasa and Mikhail Muzychuk and Paul-Hermann Zieschang Directed strongly regular graphs obtained from coherent algebras . . . . 83--109 Chi-Kwong Li and Nung-Sing Sze Linear maps transforming $H$-unitary matrices . . . . . . . . . . . . . . . . 111--124 Pedro Patrício and Roland Puystjens Generalized invertibility in two semigroups of a ring . . . . . . . . . . 125--139 Shuanping Du and Jinchuan Hou Similarity invariant real linear subspaces and similarity preserving additive maps . . . . . . . . . . . . . 141--153 Fumio Hiai and Xingzhi Zhan Submultiplicativity vs subadditivity for unitarily invariant norms . . . . . . . 155--164 D. Hadwin and D. R. Larson and D. Timotin Approximation theory and matrix completions . . . . . . . . . . . . . . 165--179 Bojan Magajna and Marko Petkov\vsek and Aleksej Turn\vsek An operator inequality and self-adjointness . . . . . . . . . . . . 181--194 Andreas Brieden and Shawn Cokus On the hardness of efficiently approximating maximal non-$L$ submatrices . . . . . . . . . . . . . . 195--205 William F. Trench Characterization and properties of matrices with generalized symmetry or skew symmetry . . . . . . . . . . . . . 207--218 Marianna Bolla Distribution of the eigenvalues of random block-matrices . . . . . . . . . 219--240 Jinlong Shu and Yarong Wu Sharp upper bounds on the spectral radius of graphs . . . . . . . . . . . . 241--248 Francis K. Bell and Slobodan K. Simiç On graphs whose star complement for $-2$ is a path or a cycle . . . . . . . . . . 249--265 Jianlian Cui and Maozheng Guo and Jinchuan Hou Rank-$1$ nilpotency linear preservers on nest algebras . . . . . . . . . . . . . 267--290 Heng Liang and Fengshan Bai An upper bound for the permanent of $(0,1)$-matrices . . . . . . . . . . . . 291--295 Anonymous Author index . . . . . . . . . . . . . . 297--297 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Yves Nievergelt Fitting conics of specific types to data 1--30 Fabio Fagnani and Sandro Zampieri Minimal and systematic convolutional codes over finite Abelian groups . . . . 31--59 Paolo Pugliese On the normal matrix of the polynomial LS problem over the Chebyshev points . . 61--69 Mathias Drton and Udo Schwingenschlögl Surface volumes of rounding polytopes 71--91 Jinhai Xie and Fangyan Lu A note on $2$-local automorphisms of digraph algebras . . . . . . . . . . . . 93--98 Pascal Koiran and Natacha Portier and Gilles Villard A rank theorem for Vandermonde matrices 99--107 Wolfgang Bertram From linear algebra via affine algebra to projective algebra . . . . . . . . . 109--134 Sergio Blanes and Fernando Casas On the convergence and optimization of the Baker--Campbell--Hausdorff formula 135--158 Shencan Chen A lower bound for the minimum eigenvalue of the Hadamard product of matrices . . 159--166 Marek Niezgoda Cases of equality for certain inequalities involving a $G$-doubly stochastic map . . . . . . . . . . . . . 167--182 Eric King-wah Chu and Wen-Wei Lin Perturbation of eigenvalues for periodic matrix pairs via the Bauer--Fike theorems . . . . . . . . . . . . . . . . 183--202 L. Kozeratska and J. F. Forbes and R. G. Goebel and J. V. Kresta Perturbed cones for analysis of uncertain multi-criteria optimization problems . . . . . . . . . . . . . . . . 203--229 Jianzhou Liu and Yunqing Huang and Fuzhen Zhang The Schur complements of generalized doubly diagonally dominant matrices . . 231--244 James Ledoux and Laurent Truffet Comparison and aggregation of max-plus linear systems . . . . . . . . . . . . . 245--272 Marjeta Kramar Irreducible groups with submultiplicative spectrum . . . . . . . 273--282 A. N. Malyshev and M. Sadkane Componentwise pseudospectrum of a matrix 283--288 Anonymous Call for Papers: Special Issue in honor of Pauline van den Driessche . . . . . . 289--289 Anonymous Call for Papers: Special Issue in honor of Professor Ingram Olkin . . . . . . . 291--292 Anonymous Author index . . . . . . . . . . . . . . 293--293 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
R. B. Bapat and R. Kaashoek and R. Mathias and T. Y. Tam and F. Uhlig Preface . . . . . . . . . . . . . . . . 1--2 T. Ando Cones and norms in the tensor product of matrix spaces . . . . . . . . . . . . . 3--41 G. Freiling and A. Hochhaus On a class of rational matrix differential equations arising in stochastic control . . . . . . . . . . . 43--68 Wasin So The high road to an exponential formula 69--75 Suk-Geun Hwang and Sung-Soo Pyo The inverse eigenvalue problem for symmetric doubly stochastic matrices . . 77--83 Moody T. Chu and Fasma Diele and Ivonne Sgura Gradient flow methods for matrix completion with prescribed eigenvalues 85--112 V. I. Hasanov and I. G. Ivanov and F. Uhlig Improved perturbation estimates for the matrix equations $X \pm A^* X^{-1}A = Q$ 113--135 Man-Duen Choi and Chi-Kwong Li Norm bounds for summation of two normal matrices . . . . . . . . . . . . . . . . 137--157 L. Lerer and M. A. Petersen and A. C. M. Ran Existence of minimal nonsquare $J$-symmetric factorizations for self-adjoint rational matrix functions 159--178 Shwu-Huey Lin and Bit-Shun Tam Strong linear preservers of symmetric doubly stochastic or doubly substochastic matrices . . . . . . . . . 179--200 I. Baragaña and V. Fernández and I. Zaballa Hermite indices and equivalence relations . . . . . . . . . . . . . . . 201--211 Tavan T. Trent An $H^2$-corona theorem on the bidisk for infinitely many functions . . . . . 213--227 Miguel V. Carriegos and M. Isabel García-Planas On matrix inverses modulo a subspace . . 229--237 Albert Compta and Josep Ferrer and Marta Peña Dimension of the orbit of marked subspaces . . . . . . . . . . . . . . . 239--248 A. Amparan and S. Marcaida and I. Zaballa Assignment of infinite structure to an open-loop system . . . . . . . . . . . . 249--266 Mei-Qin Chen and Xiezhang Li An estimation of the spectral radius of a product of block matrices . . . . . . 267--275 Jerzy K. Baksalary and Jan Hauke and Xiaoji Liu and Sanyang Liu Relationships between partial orders of matrices and their powers . . . . . . . 277--287 André C. M. Ran and Martine C. B. Reurings A nonlinear matrix equation connected to interpolation theory . . . . . . . . . . 289--302 Jerzy K. Baksalary and Oskar Maria Baksalary and Tomasz Szulc Properties of Schur complements in partitioned idempotent matrices . . . . 303--318 Changqing Xu Completely positive matrices . . . . . . 319--327 F. Puerta and X. Puerta and S. Tarragona Versal deformations in orbit spaces . . 329--343 Li Qiu and Tongwen Chen Unitary dilation approach to contractive matrix completion . . . . . . . . . . . 345--352 Kenneth R. Driessel On computing canonical forms using flows 353--379 S. K. Jain and John Tynan Nonnegative matrices $A$ with $AA^\# \geq 0$ . . . . . . . . . . . . . . . . 381--394 Guy Cohen and Stéphane Gaubert and Jean-Pierre Quadrat Duality and separation theorems in idempotent semimodules . . . . . . . . . 395--422 Eugene Tyrtyshnikov Kronecker-product approximations for some function-related matrices . . . . . 423--437 Asuman Oktaç Student discussions on a linear algebra problem in a distance-education course 439--455 K. H. Kim and F. W. Roush Inclines and incline matrices: a survey 457--473 Patricia D. Egleston and Terry D. Lenker and Sivaram K. Narayan The nonnegative inverse eigenvalue problem . . . . . . . . . . . . . . . . 475--490 Ghislaine Gueudet-Chartier Should we teach linear algebra through geometry? . . . . . . . . . . . . . . . 491--501 Frank Uhlig Report on the 10th ILAS Conference ``Challenges in Matrix Theory'' at Auburn University in June 2002 . . . . . 503--535 Anonymous Author index . . . . . . . . . . . . . . 537--538 Anonymous Editorial board . . . . . . . . . . . . ii--iii Anonymous Photo . . . . . . . . . . . . . . . . . xiv--xiv
Anonymous Editorial board . . . . . . . . . . . . ii--iii Andreas Frommer and Volker Mehrmann and Reinhard Nabben Special section dedicated to the GAMM workshop Applied and Numerical Linear Algebra with special emphasis on Numerical Methods for Structured and Random Matrices . . . . . . . . . . . . 1--2 Christian Mehl and Volker Mehrmann and Hongguo Xu On doubly structured matrices and pencils that arise in linear response theory . . . . . . . . . . . . . . . . . 3--51 V. Simoncini and M. Pennacchio The behavior of symmetric Krylov subspace methods for solving $Mx = (M - \gamma I)v$ . . . . . . . . . . . . . . 53--71 Holger Arndt On finite dimension exchange algorithms 73--93 Miroslav Fiedler and Zden\vek Vav\vrín Generalized Hessenberg matrices . . . . 95--105 Bernd Fischer and Jan Modersitzki A unified approach to fast image registration and a new curvature based registration technique . . . . . . . . . 107--124 Ji-Ming Guo and Shang-Wang Tan A note on the second largest eigenvalue of a tree with perfect matchings . . . . 125--134 Daniel A. Jaume and Rubén Puente Representability of convex sets by analytical linear inequality systems . . 135--150 J. Gelonch and C. R. Johnson Generalization of Flanders' theorem to matrix triples . . . . . . . . . . . . . 151--171 Miroslav Petrovi\'c and Bojana Borovi\'canin and Aleksandar Torga\vsev On graphs with at most three Laplacian eigenvalues greater than or equal to two 173--184 Hong You and Xiao Min Tang Additive preservers of rank-additivity on the spaces of symmetric and alternate matrices . . . . . . . . . . . . . . . . 185--198 William F. Trench Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry 199--211 C. Mendes Araújo and Juan R. Torregrosa and Ana M. Urbano The $N$-matrix completion problem under digraphs assumptions . . . . . . . . . . 213--225 Yong-Jian Hu and Gong-Ning Chen A unified treatment for the matrix Stieltjes moment problem . . . . . . . . 227--239 Tat'yana N. Gaiduk and Vladimir V. Sergeichuk Generic canonical form of pairs of matrices with zeros . . . . . . . . . . 241--251 M'hammed El Kahoui Subresultants and locally nilpotent derivations . . . . . . . . . . . . . . 253--261 D. Paul Phillips Some partial inverse eigenvalue problems: recovering diagonal entries of symmetric matrices . . . . . . . . . . . 263--270 Anonymous Author index to volume 380 . . . . . . . 271--271 Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 273--274 Anonymous Referees for volumes 361--380 . . . . . 275--279 Anonymous Author index to volumes 361--380 . . . . 281--297
Nicos Karcanias and Marilena Mitrouli System theoretic based characterisation and computation of the least common multiple of a set of polynomials . . . . 1--23 B. Foreman Conjugacy invariants of $\mbox{Sl}(2,\mathcal{H})$ . . . . . . . 25--35 Cristina Ferreira and Fernando C. Silva Inertia theorems for pairs of matrices 37--52 Shencan Chen A property concerning the Hadamard powers of inverse $M$-matrices . . . . . 53--60 Anne Condon and Michael Saks A limit theorem for sets of stochastic matrices . . . . . . . . . . . . . . . . 61--76 Rosário Fernandes On the powers of a vectorial matroid --- an equivalence relation . . . . . . . . 77--95 Oscar Rojo and Héctor Rojo A decreasing sequence of upper bounds on the largest Laplacian eigenvalue of a graph . . . . . . . . . . . . . . . . . 97--116 M. Didi Biha and A. R. Mahjoub The $k$-edge connected subgraph problem I: Polytopes and critical extreme points 117--139 Sven Feldmann and Patrick Lang A least squares approach to reduce stable discrete linear systems preserving their stability . . . . . . . 141--163 Vladimir Bolotnikov and Paul A. Smith Positive extension problems for a class of structured matrices . . . . . . . . . 165--195 Jorge Antezana and Gustavo Corach and Demetrio Stojanoff Spectral shorted matrices . . . . . . . 197--217 Takayuki Furuta Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators . . . . . . . . 219--235 Jeffrey Hood and David Perkinson Some facets of the polytope of even permutation matrices . . . . . . . . . . 237--244 Sarah Carnochan Naqvi and Judith J. McDonald Eventually nonnegative matrices are similar to seminonnegative matrices . . 245--258 N. Bebiano and R. Lemos and J. da Providência Numerical ranges of unbounded operators arising in quantum physics . . . . . . . 259--279 Anonymous Author index . . . . . . . . . . . . . . 281--281 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Maxim Derevyagin and Vladimir Derkach Spectral problems for generalized Jacobi matrices . . . . . . . . . . . . . . . . 1--24 Lorenzo Mencherini and Sergio Spagnolo Uniformly symmetrizable $3 \times 3$ matrices . . . . . . . . . . . . . . . . 25--38 G. Molteni About two trigonometric matrices . . . . 39--59 Zheng-Hong Yang and Yong-Jian Hu Confluent polynomial Vandermonde-like matrices: displacement structures, inversion formulas and fast algorithm 61--82 N. P. Karampetakis On the solution space of discrete time AR-representations over a finite time horizon . . . . . . . . . . . . . . . . 83--116 D. Alpay and C. Dubi Carathéodory Fejér interpolation in the ball with mixed derivatives . . . . . . 117--133 Pengwei Hao Customizable triangular factorizations of matrices . . . . . . . . . . . . . . 135--154 Hwa-Long Gau and Pei Yuan Wu Numerical range circumscribed by two polygons . . . . . . . . . . . . . . . . 155--170 Manoel Lemos Non-separating cocircuits in binary matroids . . . . . . . . . . . . . . . . 171--178 Luis Verde-Star Groups of generalized Pascal matrices 179--194 Bettina Eick Computing the automorphism group of a solvable Lie algebra . . . . . . . . . . 195--209 Jiming Jiang Dispersion matrix in balanced mixed ANOVA models . . . . . . . . . . . . . . 211--219 Kôtarô Tanahashi and Atsushi Uchiyama and Muneo Ch\=o Isolated points of spectrum of $(p,k)$-quasihyponormal operators . . . 221--229 William F. Trench An elementary note on asymptotic properties of Toeplitz and multilevel Toeplitz matrices . . . . . . . . . . . 231--235 Pengtong Li and Wu Jing Jordan elementary maps on rings . . . . 237--245 W. E. Longstaff Burnside's theorem: irreducible pairs of transformations . . . . . . . . . . . . 247--269 J. Carlos Díaz-Ramos and Eduardo García-Río A note on the structure of algebraic curvature tensors . . . . . . . . . . . 271--277 Anonymous Author index . . . . . . . . . . . . . . 279--279 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Rajendra Bhatia and Matjaz Omladi\vc and Peter Rosenthal and Peter \vSemrl A survey of Heydar Radjavi . . . . . . . 1--15 Bamdad R. Yahaghi On irreducible semigroups of matrices with traces in a subfield . . . . . . . 17--28 M. Radjabalipour and P. Rosenthal and B. R. Yahaghi Burnside's theorem for matrix rings over division rings . . . . . . . . . . . . . 29--44 Victor Lomonosov and Peter Rosenthal The simplest proof of Burnside's theorem on matrix algebras . . . . . . . . . . . 45--47 T. Ando Sets of matrices with common Stein solutions and $H$-contractions . . . . . 49--64 Takahiro Sudo Stable rank of $C^*$-algebras of type I 65--76 Erich W. Ellers Conjugacy classes of involutions in the Lorentz group $\Omega(V)$ and in $\mbox{SO}(V)$ . . . . . . . . . . . . . 77--83 Fuad Kittaneh Norm inequalities for sums and differences of positive operators . . . 85--91 B. P. Duggal Subspace gaps and range-kernel orthogonality of an elementary operator 93--106 Mirko Dobovi\vsek Simultaneous symmetrization . . . . . . 107--112 R. Drnov\vsek and T. Ko\vsir Irreducible operator semigroups such that AB and BA are proportional . . . . 113--118 Janez Bernik and Robert Guralnick and Mitja Mastnak Reduction theorems for groups of matrices . . . . . . . . . . . . . . . . 119--126 Hwa-Long Gau and Pei Yuan Wu Companion matrices: reducibility, numerical ranges and similarity to contractions . . . . . . . . . . . . . . 127--142 Roy Meshulam and Peter \vSemrl Locally linearly dependent operators and reflexivity of operator spaces . . . . . 143--150 Ch. Davis and A. Salemi On polynomial numerical hulls of normal matrices . . . . . . . . . . . . . . . . 151--161 Leo Livshits On decomposability of periodic semigroups of non-negative matrices . . 163--174 Xiao-Dong Zhang The smallest eigenvalue for reversible Markov chains . . . . . . . . . . . . . 175--186 Don Hadwin and Eric Nordgren A general view of multipliers and composition operators . . . . . . . . . 187--211 Don Hadwin and Jinchuan Hou and Hassan Yousefi Completely rank-nonincreasing linear maps on spaces of operators . . . . . . 213--232 Matja\vz Omladi\vc A variety of commuting triples . . . . . 233--245 Anonymous Author index . . . . . . . . . . . . . . 247--247 Anonymous Editorial board . . . . . . . . . . . . ii--iii Anonymous Photo for HR issue . . . . . . . . . . . xii--xii
Donu Arapura and Chris Peterson The common invariant subspace problem: an approach via Gröbner bases . . . . . . 1--7 L. L. Stachó and B. Zalar Bicircular projections on some matrix and operator spaces . . . . . . . . . . 9--20 Jeannette Van Iseghem Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases . . . . . . . . . . . . . . . . . 21--42 Qing-Wen Wang A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity . . . . . . 43--54 Daniela La Mattina On the graded identities and cocharacters of the algebra of $3 \times 3$ matrices . . . . . . . . . . . . . . 55--75 Dragomir \vZ. \Dbarokovi\'c and Kaiming Zhao Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices 77--84 Yanling Shao and Liang Sun and Yubin Gao Inertia sets of two classes of symmetric sign patterns . . . . . . . . . . . . . 85--95 Anna A. Alieva and Alexander E. Guterman Linear preservers of rank permutability 97--108 Man-Chung Yeung Probabilistic analysis of complex Gaussian elimination without pivoting 109--134 Pilar Pisón-Casares and Alberto Vigneron-Tenorio $\mathbb{N}$-solutions to linear systems over $\mathbb{Z}$ . . . . . . . . . . . 135--154 Kinkar Ch. Das Sharp lower bounds on the Laplacian eigenvalues of trees . . . . . . . . . . 155--169 K. Kattchee Elasticities of Krull domains with finite divisor class group . . . . . . . 171--185 Mitsuru Kuroda Quadratic Gauss sums on matrices . . . . 187--198 Miroslav Fiedler Complementary basic matrices . . . . . . 199--206 David Bradshow and Alexander Tovbis On formal solutions to matrix version of a reduced Kac--van Moerbeke equation . . 207--214 M. I. Bueno and F. Marcellán Darboux transformation and perturbation of linear functionals . . . . . . . . . 215--242 Anonymous Author index . . . . . . . . . . . . . . 243--243 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Harm Bart and Israel Koltracht and Alexander Markus and Leiba Rodman Preface . . . . . . . . . . . . . . . . 1--6 Harm Bart and Israel Koltracht and Alexander Markus and Leiba Rodman Personal notes . . . . . . . . . . . . . 7--21 David S. Watkins On Hamiltonian and symplectic Lanczos processes . . . . . . . . . . . . . . . 23--45 L. Elsner and P. van den Driessche Max-algebra and pairwise comparison matrices . . . . . . . . . . . . . . . . 47--62 P. Binding and A. Markus Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars . . . . . . . . . . 63--72 T. Ando Löwner inequality of indefinite type . . 73--80 S. Kirkland Digraph-based conditioning for Markov chains . . . . . . . . . . . . . . . . . 81--93 Ravindra Bapat and Michael Neumann Inequalities for permanents involving Perron complements . . . . . . . . . . . 95--104 R. Puystjens and M. C. Gouveia Drazin invertibility for matrices over an arbitrary ring . . . . . . . . . . . 105--116 G. Kalogeropoulos and P. Psarrakos and N. Karcanias On the computation of the Jordan canonical form of regular matrix polynomials . . . . . . . . . . . . . . 117--130 Naum Krupnik On the lengths of Jordan chains for eigenvalues on the boundary of numerical range of quadratic operator polynomial 131--147 Y. Eidelman and I. Gohberg Direct approach to the band completion problem . . . . . . . . . . . . . . . . 149--185 D. Steven Mackey and Niloufer Mackey and Françoise Tisseur $\mathbb{G}$-reflectors: analogues of Householder transformations in scalar product spaces . . . . . . . . . . . . . 187--213 Vladimir Bolotnikov and Alexander Kheifets and Leiba Rodman Jet functions having indefinite Carathéodory--Pick matrices . . . . . . . 215--286 J. C. Basilio and M. V. Moreira A robust solution of the generalized polynomial Bezout identity . . . . . . . 287--303 T. Ando and Chi-Kwong Li and Roy Mathias Geometric means . . . . . . . . . . . . 305--334 Seamus D. Garvey and Uwe Prells and Michael I. Friswell and Zheng Chen General isospectral flows for linear dynamic systems . . . . . . . . . . . . 335--368 Xiao-Dong Zhang On the two conjectures of Graffiti . . . 369--379 I. Gohberg and M. A. Kaashoek and F. van Schagen On inversion of finite Toeplitz matrices with elements in an algebraic ring . . . 381--389 Chun-Hua Guo Numerical solution of a quadratic eigenvalue problem . . . . . . . . . . . 391--406 A. Roca and I. Zaballa Feedback invariants via output injection 407--442 András Farkas and András György and Pál Rózsa On the spectrum of pairwise comparison matrices . . . . . . . . . . . . . . . . 443--462 Peter Zizler The spectral radius of a multivariate sampling operator . . . . . . . . . . . 463--474 Anonymous Author index . . . . . . . . . . . . . . 475--476 Anonymous Editorial board . . . . . . . . . . . . ii--iii Anonymous Photo of Peter Lancaster . . . . . . . . xii--xii
Amy N. Langville and William J. Stewart Preface . . . . . . . . . . . . . . . . 1--2 Gely P. Basharin and Amy N. Langville and Valeriy A. Naumov The life and work of A. A. Markov . . . 3--26 Michele Benzi A direct projection method for Markov chains . . . . . . . . . . . . . . . . . 27--49 Sepandar Kamvar and Taher Haveliwala and Gene Golub Adaptive methods for the computation of PageRank . . . . . . . . . . . . . . . . 51--65 Ivo Marek and Daniel B. Szyld Algebraic Schwarz methods for the numerical solution of Markov chains . . 67--81 Peter Buchholz and Tu\ugrul Dayar Block SOR for Kronecker structured representations . . . . . . . . . . . . 83--109 Anne Benoit and L. Brenner and P. Fernandes and B. Plateau Aggregation of stochastic automata networks with replicas . . . . . . . . . 111--136 Salem Derisavi and Peter Kemper and William H. Sanders Symbolic state-space exploration and numerical analysis of state-sharing composed models . . . . . . . . . . . . 137--166 J. M. Fourneau and M. Lecoz and F. Quessette Algorithms for an irreducible and lumpable strong stochastic bound . . . . 167--185 Dario A. Bini and Beatrice Meini Non-skip-free M/G/1-type Markov chains and Laurent matrix power series . . . . 187--206 Winfried K. Grassmann Finding equilibrium probabilities of QBD processes by spectral methods when eigenvalues vanish . . . . . . . . . . . 207--223 M. Neumann and J. Xu Improved bounds for a condition number for Markov chains . . . . . . . . . . . 225--241 Konstantin E. Avrachenkov and Moshe Haviv The first Laurent series coefficients for singularly perturbed stochastic matrices . . . . . . . . . . . . . . . . 243--259 Jingxiang Luo and Winfried K. Grassmann Rate-tilting for fast simulation of level/phase processes . . . . . . . . . 261--284 Jean-Marc Vincent and Corine Marchand On the exact simulation of functionals of stationary Markov chains . . . . . . 285--310 Jeremy T. Bradley and Nicholas J. Dingle and William J. Knottenbelt and Helen J. Wilson Hypergraph-based parallel computation of passage time densities in large semi-Markov models . . . . . . . . . . . 311--334 Dorina C. Petriu and C. Murray Woodside Approximate mean value analysis based on Markov chain aggregation by composition 335--358 Peter G. Harrison Reversed processes, product forms and a non-product form . . . . . . . . . . . . 359--381 M. Telek and A. Horváth and G. Horváth Analysis of inhomogeneous Markov reward models . . . . . . . . . . . . . . . . . 383--405 Anonymous Author index . . . . . . . . . . . . . . 407--408 Anonymous Editorial board . . . . . . . . . . . . ii--iii Anonymous Editorial note . . . . . . . . . . . . . xii--xiii
Inderjit S. Dhillon and Beresford N. Parlett Multiple representations to compute orthogonal eigenvectors of symmetric tridiagonal matrices . . . . . . . . . . 1--28 D. Z. Freedman Perturbation bounds for the joint spectrum of commuting matrices . . . . . 29--40 Aimei Yu and Mei Lu and Feng Tian On the spectral radius of graphs . . . . 41--49 Yongzhi Yang and Heidi Holtti The factorization of block matrices with generalized geometric progression rows 51--67 L. Hernández Encinas and A. Martín del Rey and J. Muñoz Masqué Non-degenerate bilinear alternating maps $f$: $V \times V \rightarrow V, \dim(V) = 3$, over an algebraically closed field 69--82 William F. Trench Hermitian, Hermitian $R$-symmetric, and Hermitian $R$-skew symmetric Procrustes problems . . . . . . . . . . . . . . . . 83--98 Phillip L. Poplin and Robert E. Hartwig Determinantal identities over commutative semirings . . . . . . . . . 99--132 Daniel Birmajer On subalgebras of $n \times n$ matrices not satisfying identities of degree $2n-2$ . . . . . . . . . . . . . . . . . 133--141 Song-Chol Han and Hong-Xing Li Indices and periods of incline matrices 143--165 Xian Zhang Idempotence-preserving maps without the linearity and surjectivity assumptions 167--182 Ajai Choudhry Extraction of $n$-th roots of $2 \times 2$ matrices . . . . . . . . . . . . . . 183--192 Antonio Vera-López and J. M. Arregi Computing in unitriangular matrices over finite fields . . . . . . . . . . . . . 193--219 S. W. Drury Maximizing traces of matrix functions 221--234 Paul Terwilliger Leonard pairs and the $q$-Racah polynomials . . . . . . . . . . . . . . 235--276 Ashkan Ashrafi and Peter M. Gibson An involutory Pascal matrix . . . . . . 277--286 R. Balakrishnan The energy of a graph . . . . . . . . . 287--295 Huanyin Chen and Miaosen Chen On products of three triangular matrices over associative rings . . . . . . . . . 297--311 D. Alpay and A. Dijksma and H. Langer Factorization of $J$-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions . . . . . . . . . . . . . . . 313--342 Jinchuan Hou and Xiuling Zhang Ring isomorphisms and linear or additive maps preserving zero products on nest algebras . . . . . . . . . . . . . . . . 343--360 Zhengchu Ling and Fangyan Lu Jordan maps of nest algebras . . . . . . 361--368 Anonymous Author index . . . . . . . . . . . . . . 369--369 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Simo Puntanen and George P. H. Styan and Hans Joachim Werner Preface . . . . . . . . . . . . . . . . 1--2 Jerzy K. Baksalary An elementary development of the equation characterizing best linear unbiased estimators . . . . . . . . . . 3--6 Jerzy K. Baksalary A new approach to the concept of a strong unified-least-squares matrix . . 7--15 Jerzy K. Baksalary and Oskar Maria Baksalary On linear combinations of generalized projectors . . . . . . . . . . . . . . . 17--24 Jerzy K. Baksalary and Oskar Maria Baksalary Nonsingularity of linear combinations of idempotent matrices . . . . . . . . . . 25--29 Jerzy K. Baksalary and Oskar Maria Baksalary Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications 31--44 Jerzy K. Baksalary and Oskar Maria Baksalary and Halim Özdemir A note on linear combinations of commuting tripotent matrices . . . . . . 45--51 Jerzy K. Baksalary and Jan Hauke Characterizations of minus and star orders between the squares of Hermitian matrices . . . . . . . . . . . . . . . . 53--59 Jerzy K. Baksalary and Xiaoji Liu An alternative characterization of generalized projectors . . . . . . . . . 61--65 Oskar Maria Baksalary Idempotency of linear combinations of three idempotent matrices, two of which are disjoint . . . . . . . . . . . . . . 67--78 K. Balasubramanian and M. I. Beg Three isomorphic vector spaces---applications to binomial identities, Urn models and order statistics . . . . . . . . . . . . . . . 79--89 Yasuko Chikuse Hermite and Laguerre polynomials with complex matrix arguments . . . . . . . . 91--105 Estela Bee Dagum and Alessandra Luati A linear transformation and its properties with special applications in time series filtering . . . . . . . . . 107--117 J. Dauxois and G. M. Nkiet and Y. Romain Canonical analysis relative to a closed subspace . . . . . . . . . . . . . . . . 119--145 Pierre Druilhet Conditions for optimality in experimental designs . . . . . . . . . . 147--157 Olga Dunajeva The second-order derivatives of matrices of eigenvalues and eigenvectors with an application to generalized $F$-statistic 159--171 Friedhelm Eicker and Guenter Ewald Linearly independent set families . . . 173--191 Paolo Foschi and Erricos J. Kontoghiorghes A computationally efficient method for solving SUR models with orthogonal regressors . . . . . . . . . . . . . . . 193--200 Daniel A. Griffith Extreme eigenfunctions of adjacency matrices for planar graphs employed in spatial analyses . . . . . . . . . . . . 201--219 Patrick J. F. Groenen and Michel van de Velden Inverse correspondence analysis . . . . 221--238 Jürgen Groß and Augustyn Markiewicz Characterizations of admissible linear estimators in the linear model . . . . . 239--248 D. R. Jensen and S. S. Srinivasan Matrix equivalence classes with applications . . . . . . . . . . . . . . 249--260 Thomas Klein Invariant symmetric block matrices for the design of mixture experiments . . . 261--278 J. J. Koliha and V. Rako\vcevi\'c and I. Stra\vskraba The difference and sum of projectors . . 279--288 Alexander Kukush and Hans Schneeweiss A note on a matrix inequality for generalized means . . . . . . . . . . . 289--294 Gorazd Le\vsnjak A note on an algebraic version of Cochran's theorem . . . . . . . . . . . 295--299 Jorma Kaarlo Merikoski and Ari Virtanen The best possible lower bound for the Perron root using traces . . . . . . . . 301--313 Margus Pihlak Matrix integral . . . . . . . . . . . . 315--325 Debasis Sengupta On the Kalman filter with possibly degenerate and correlated errors . . . . 327--340 Yoshio Takane Matrices with special reference to applications in psychometrics . . . . . 341--361 Jos M. F. ten Berge and Nikolaos D. Sidiropoulos and Roberto Rocci Typical rank and indscal dimensionality for symmetric three-way arrays of order $I \times 2 \times 2$ or $I \times 3 \times 3$ . . . . . . . . . . . . . . . 363--377 Akhil K. Vaish and N. Rao Chaganty Wishartness and independence of matrix quadratic forms for Kronecker product covariance structures . . . . . . . . . 379--388 Júlia Volaufová Some estimation problems in multistage linear models . . . . . . . . . . . . . 389--397 Anonymous Author index . . . . . . . . . . . . . . 399--400 Anonymous Editorial board . . . . . . . . . . . . ii--iii
S. V. Savchenko Principal submatrices of co-order one with the biggest Perron root . . . . . . 1--22 William F. Trench Minimization problems for $(R,S)$-symmetric and $(R,S)$-skew symmetric matrices . . . . . . . . . . . 23--31 Wiland Schmale and Pramod K. Sharma Cyclizable matrix pairs over $\mathbb{C}[x]$ and a conjecture on Töplitz pencils . . . . . . . . . . . . . 33--42 A. Carriazo and L. M. Fernández and J. Núñez Combinatorial structures associated with Lie algebras of finite dimension . . . . 43--61 Pilar Ibarrola and Ricardo Vélez On Behrens--Fisher problem for continuous time Gaussian processes . . . 63--76 Christopher King and Michael Nathanson New trace norm inequalities for $2 \times 2$ blocks of diagonal matrices 77--93 Qingxiang Yin Construction of real antisymmetric and bi-antisymmetric matrices with prescribed spectrum data . . . . . . . . 95--106 R. A. Cuninghame-Green and P. Butkovi\vc Bases in max-algebra . . . . . . . . . . 107--120 Song-Chol Han and Hong-Xing Li Invertible incline matrices and Cramer's rule over inclines . . . . . . . . . . . 121--138 Huiqing Liu and Mei Lu and Feng Tian On the spectral radius of graphs with cut edges . . . . . . . . . . . . . . . 139--145 Peter Legi\vsa Automorphisms of $M_n$, partially ordered by rank subtractivity ordering 147--158 Pedro Patrício and Roland Puystjens Drazin--Moore--Penrose invertibility in rings . . . . . . . . . . . . . . . . . 159--173 Miroslav Fiedler and Thomas L. Markham Two results on basic oscillatory matrices . . . . . . . . . . . . . . . . 175--181 Ameur Seddik On some operator norm inequalities . . . 183--187 C. Brezinski and M. Redivo-Zaglia New vector sequence transformations . . 189--213 M. Chu and N. Del Buono and F. Diele and T. Politi and S. Ragni On the semigroup of standard symplectic matrices and its applications . . . . . 215--225 Joseph E. Carroll Birkhoff's contraction coefficient . . . 227--234 Song-Chol Han and Hong-Xing Li and Yun-Dong Gu Standard eigenvectors of incline matrices . . . . . . . . . . . . . . . . 235--248 Luis Verde-Star A Lagrange matrices approach to confluent Cauchy matrices . . . . . . . 249--268 William H. Cunningham and Yaoguang Wang On the even permutation polytope . . . . 269--281 L. A. Sakhnovich Extremal trigonometric and power polynomials in several variables . . . . 283--293 Jerzy K. Baksalary and Oskar Maria Baksalary and Xiaoji Liu Further properties of generalized and hypergeneralized projectors . . . . . . 295--303 Sergey Belyi and Eduard Tsekanovskii On Krein's formula in indefinite metric spaces . . . . . . . . . . . . . . . . . 305--322 Avraham Feintuch On polynomial approximation of the inverse of an operator . . . . . . . . . 323--328 A. Hadjidimos An extended compact profile iterative method criterion for sparse $H$-matrices 329--345 Roger A. Horn and Vladimir V. Sergeichuk Congruences of a square matrix and its transpose . . . . . . . . . . . . . . . 347--353 Qianglian Huang and Jipu Ma Perturbation analysis of generalized inverses of linear operators in Banach spaces . . . . . . . . . . . . . . . . . 355--364 Jianzhou Liu and Yunqing Huang Some properties on Schur complements of $H$-matrices and diagonally dominant matrices . . . . . . . . . . . . . . . . 365--380 Anonymous Author index . . . . . . . . . . . . . . 381--382 Anonymous Editorial board . . . . . . . . . . . . ii--iii
G. W. Stewart An Elsner-like perturbation theorem for generalized eigenvalues . . . . . . . . 1--5 Cristina Ferreira and Fernando C. Silva On the stabilization of linear discrete-time systems . . . . . . . . . 7--18 Marko Lindner and Vladimir S. Rabinovich and Steffen Roch Finite sections of band operators with slowly oscillating coefficients . . . . 19--26 Thomas H. Pate Extreme rays and faces for the cone of class functions non-negative on the set of Gram matrices . . . . . . . . . . . . 27--45 T. Britz and D. D. Olesky and P. van den Driessche The Moore--Penrose inverse of matrices with an acyclic bipartite graph . . . . 47--60 Ashwin Ganesan and Sheila R. Ross and B. Ross Barmish An extreme point result for convexity, concavity and monotonicity of parameterized linear equation solutions 61--73 Ethan S. Brown and Ilya M. Spitkovsky On flat portions on the boundary of the numerical range . . . . . . . . . . . . 75--109 Charles R. Johnson and Brenda Kroschel and Matja\vz Omladi\vc Eigenvalue multiplicities in principal submatrices . . . . . . . . . . . . . . 111--120 Hwa-Long Gau and Pei Yuan Wu Numerical range of a normal compression II . . . . . . . . . . . . . . . . . . . 121--136 Vyacheslav Rabanovich Every matrix is a linear combination of three idempotents . . . . . . . . . . . 137--143 Guang-Da Hu and Mingzhu Liu The weighted logarithmic matrix norm and bounds of the matrix exponential . . . . 145--154 Türker Bìyìko\uglu and Wim Hordijk and Josef Leydold and Toma\vz Pisanski and Peter F. Stadler Graph Laplacians, nodal domains, and hyperplane arrangements . . . . . . . . 155--174 Toufik Za\"\imi On the integer form of the additive Hilbert's Theorem 90 . . . . . . . . . . 175--181 Song-Chol Han and Hong-Xing Li The semigroup of incline Hall matrices 183--196 Geir Dahl Tridiagonal doubly stochastic matrices 197--208 Ana María Urbano Nilpotent completions of partial upper triangular matrices . . . . . . . . . . 209--254 Arthur O. Pittenger and Morton H. Rubin Mutually unbiased bases, generalized spin matrices and separability . . . . . 255--278 Mingsheng Wang and Dengguo Feng On Lin--Bose problem . . . . . . . . . . 279--285 Ivan Peri\'c and Rajna Raji\'c Grüss inequality for completely bounded maps . . . . . . . . . . . . . . . . . . 287--292 Volodymyr Mazorchuk and Lyudmila Turowska Radical $*$-doubles of finite-dimensional algebras . . . . . . 293--309 M. I. Gil' Bounds for characteristic values of entire matrix pencils . . . . . . . . . 311--320 Turdebek N. Bekjan On joint convexity of trace functions 321--327 A. Astolfi and P. Colaneri A note on the existence of positive realizations . . . . . . . . . . . . . . 329--343 S. Akbari and M. Ghandehari and M. Hadian and A. Mohammadian On commuting graphs of semisimple rings 345--355 Hiroyuki Ishibashi Structure of the orthogonal group $O_n(V)$ over $L$-rings . . . . . . . . 357--368 Hasan Alnajjar and Brian Curtin A family of tridiagonal pairs . . . . . 369--384 Anonymous Author index . . . . . . . . . . . . . . 385--386 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Sabine Van Huffel and Per Christian Hansen and Peter Maass Preface . . . . . . . . . . . . . . . . 1--1 Laurent Albera and Anne Ferréol and Pierre Comon and Pascal Chevalier Blind Identification of Overcomplete MixturEs of sources (BIOME) . . . . . . 3--30 Lieven De Lathauwer and Joos Vandewalle Dimensionality reduction in higher-order signal processing and rank-$(R_1, R_2, \ldots{}, R_N)$ reduction in multilinear algebra . . . . . . . . . . . . . . . . 31--55 Tommy Elfving A projection method for semidefinite linear systems and its applications . . 57--73 Haoying Fu and Jesse Barlow A regularized structured total least squares algorithm for high-resolution image reconstruction . . . . . . . . . . 75--98 Denis Grishin and Thomas Strohmer Fast scattered data approximation with Neumann and other boundary conditions 99--123 Olaf Hansen and Silva Fischer and Ronny Ramlau Regularization of Mellin-type inverse problems with an application to oil engineering . . . . . . . . . . . . . . 125--147 Fu-Rong Lin and Wai-Ki Ching and Michael K. Ng Preconditioning regularized least squares problems arising from high-resolution image reconstruction from low-resolution frames . . . . . . . 149--168 Zhiping Lin and Li Xu and Qinghe Wu Applications of Gröbner bases to signal and image processing: a survey . . . . . 169--202 N. Mastronardi and P. Lemmerling and A. Kalsi and D. P. O'Leary and S. Van Huffel Implementation of the regularized structured total least squares algorithms for blind image deblurring 203--221 Mustafa Ç. Pìnar and Orhan Arìkan On robust solutions to linear least squares problems affected by data uncertainty and implementation errors with application to stochastic signal modeling . . . . . . . . . . . . . . . . 223--243 Henning Thielemann Bounds for smoothness of refinable functions . . . . . . . . . . . . . . . 245--260 Arie Yeredor Multiple delays estimation for chirp signals using structured total least squares . . . . . . . . . . . . . . . . 261--286 Anonymous Author index . . . . . . . . . . . . . . 287--287 Anonymous Editorial board . . . . . . . . . . . . ii--iii
C. R. Johnson and D. D. Olesky Sums of totally positive matrices . . . 1--9 Gonzalo Medina and Alexander Zavadskij The four subspace problem: An elementary solution . . . . . . . . . . . . . . . . 11--23 Xian Zhang Linear/additive preservers of ranks $2$ and $4$ on alternate matrix spaces over fields . . . . . . . . . . . . . . . . . 25--38 William C. Waterhouse Polynomials for the Jordan decomposition in characteristic $p$ . . . . . . . . . 39--44 Kevin A. Grasse A vector-bundle version of a theorem of V. Dole\vzal . . . . . . . . . . . . . . 45--59 Jian-Hua Zhang and Guo-Xing Ji and Huai-Xin Cao Local derivations of nest subalgebras of von Neumann algebras . . . . . . . . . . 61--69 Doron Chen and Sivan Toledo Combinatorial characterization of the null spaces of symmetric $H$-matrices 71--90 Chi-Kwong Li and Tom Milligan Uniqueness of the solutions of some completion problems . . . . . . . . . . 91--102 Linzhang Lu and Michael K. Ng Localization of Perron roots . . . . . . 103--117 Ettore Fornasini and Raquel Pinto Matrix fraction descriptions in convolutional coding . . . . . . . . . . 119--158 Amnon Yekutieli On the structure of behaviors . . . . . 159--181 Xing Tao Wang and Hong You Decomposition of Jordan automorphisms of strictly triangular matrix algebra over local rings . . . . . . . . . . . . . . 183--193 K. Jbilou and A. Messaoudi and K. Tabaâ Some Schur complement identities and applications to matrix extrapolation methods . . . . . . . . . . . . . . . . 195--210 Oscar Rojo and Héctor Rojo Some results on symmetric circulant matrices and on symmetric centrosymmetric matrices . . . . . . . . 211--233 Georg Heinig and Karla Rost Split algorithms for hermitian Toeplitz matrices with arbitrary rank profile . . 235--253 Harriet Pollatsek and Mary Beth Ruskai Permutationally invariant codes for quantum error correction . . . . . . . . 255--288 Francesco Barioli and Shaun Fallat and Leslie Hogben Computation of minimal rank and path cover number for certain graphs . . . . 289--303 B. P. Duggal The closure of the range of an elementary operator . . . . . . . . . . 305--319 Anonymous Call for Papers: Special Issue devoted to the 12th ILAS Conference . . . . . . 321--321 Anonymous Author index . . . . . . . . . . . . . . 323--323 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Shaun Fallat and Judith McDonald and Juan Pena and Michael Tsatsomeros Special issue on Positivity in Linear Algebra . . . . . . . . . . . . . . . . 1--2 Pedro Alonso and Raquel Cortina and Irene Díaz and José Ranilla Neville elimination: a study of the efficiency using checkerboard partitioning . . . . . . . . . . . . . . 3--14 Hans-Robert Arndt and Günter Mayer On the semi-convergence of interval matrices . . . . . . . . . . . . . . . . 15--37 LeRoy B. Beasley and Alexander E. Guterman and Sang-Gu Lee and Seok-Zun Song Linear transformations preserving the Grassmannian over $\mathcal{M}_n(Z_+)$ 39--46 Abraham Berman and Robert Shorten and Douglas Leith Positive matrices associated with synchronised communication networks . . 47--54 Abraham Berman and Changqing Xu $5\times 5$ Completely positive matrices 55--71 Alberto Borobia and Julio Moro and Ricardo Soto Negativity compensation in the nonnegative inverse eigenvalue problem 73--89 Rafael Bru and Francisco Pedroche and Daniel B. Szyld Overlapping additive and multiplicative Schwarz iterations for $H$-matrices . . 91--105 M. Catral and Lixing Han and Michael Neumann and R. J. Plemmons On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices . . . . . . . . . . . . . . . . 107--126 Tobias Damm Positive groups on $\mathcal{H}^n$ are completely positive . . . . . . . . . . 127--137 Shaun M. Fallat A remark on oscillatory matrices . . . . 139--147 Douglas R. Farenick Pure matrix states on operator systems 149--173 Michael Gekhtman and Charles R. Johnson The linear interpolation problem for totally positive matrices . . . . . . . 175--178 G. M. L. Gladwell Inner totally positive matrices . . . . 179--195 G. M. L. Gladwell and K. Ghanbari The total positivity interval . . . . . 197--202 M. Seetharama Gowda and Roman Sznajder and J. Tao Some $P$-properties for linear transformations on Euclidean Jordan algebras . . . . . . . . . . . . . . . . 203--232 Frank J. Hall and Zhongshan Li and Bhaskara Rao From Boolean to sign pattern matrices 233--251 Zoltán Horváth On the positivity of matrix-vector products . . . . . . . . . . . . . . . . 253--258 Cristina Jordán and Juan R. Torregrosa The totally positive completion problem 259--274 R. Loewy and J. J. McDonald The symmetric nonnegative inverse eigenvalue problem for $5 \times 5$ matrices . . . . . . . . . . . . . . . . 275--298 Pedro Massey and Demetrio Stojanoff Generalized Schur complements and $P$-complementable operators . . . . . . 299--318 J. M. Peña Characterizations and stable tests for the Routh--Hurwitz conditions and for total positivity . . . . . . . . . . . . 319--332 Panayiotis J. Psarrakos and Michael J. Tsatsomeros A primer of Perron--Frobenius theory for matrix polynomials . . . . . . . . . . . 333--351 Uwe Schäfer A new subclass of $P$-matrices . . . . . 353--364 Helena \vSmigoc The inverse eigenvalue problem for nonnegative matrices . . . . . . . . . . 365--374 Bit-Shun Tam The Perron generalized eigenspace and the spectral cone of a cone-preserving map . . . . . . . . . . . . . . . . . . 375--429 Anonymous Author index . . . . . . . . . . . . . . 431--432 Anonymous Editorial board . . . . . . . . . . . . ii--iii
A. R. L. Oliveira and D. C. Sorensen A new class of preconditioners for large-scale linear systems from interior point methods for linear programming . . 1--24 Mustafa Akkurt and George Phillip Barker and Marcel Wild Structural matrix algebras and their lattices of invariant subspaces . . . . 25--38 Mingsong Cheng and Shufang Xu Perturbation analysis of the Hermitian positive definite solution of the matrix equation $X - A^*X^{-2}A = I$ . . . . . 39--51 Michael S. Cavers and Kevin N. Vander Meulen Spectrally and inertially arbitrary sign patterns . . . . . . . . . . . . . . . . 53--72 George W. Soules Permanental bounds for nonnegative matrices via decomposition . . . . . . . 73--89 Vincent D. Blondel and Yurii Nesterov and Jacques Theys On the accuracy of the ellipsoid norm approximation of the joint spectral radius . . . . . . . . . . . . . . . . . 91--107 Kenjiro Yanagi and Ken Kuriyama and Shigeru Furuichi Generalized Shannon inequalities based on Tsallis relative operator entropy . . 109--118 Marko Huhtanen Aspects of nonnormality for iterative methods . . . . . . . . . . . . . . . . 119--144 Julio-Roberto Hasfura-Buenaga and Allen Holder and Jeffrey Stuart The asymptotic optimal partition and extensions of the Nonsubstitution Theorem . . . . . . . . . . . . . . . . 145--167 Marko Huhtanen and Jan von Pfaler The real linear eigenvalue problem in $C^n$ . . . . . . . . . . . . . . . . . 169--199 Jianxiang Li The determinant of a unicyclic graph's neighborhood matrix . . . . . . . . . . 201--216 Tatjana Petek A note on unitary similarity preserving linear mappings on $\mathcal{B}(\mathcal{H})$ . . . . . . . 217--224 S. V. Savchenko On the change of the Jordan form under the transition from the adjacency matrix of a vertex-transitive digraph to its principal submatrix of co-order one . . 225--235 Francesca Albertini and Domenico D'Alessandro Model identification for spin networks 237--256 Teijo Arponen Matrix approach to polynomials $2$ . . . 257--276 J. F. Alves and M. M. Graça and M. E. Sousa Dias and J. Sousa Ramos A linear algebra approach to the conjecture of Collatz . . . . . . . . . 277--289 Susana Furtado and Charles R. Johnson Unitary similarity classes within the cospectral-congruence class of a matrix 291--307 Gerlind Plonka and Manfred Tasche Fast and numerically stable algorithms for discrete cosine transforms . . . . . 309--345 Earl R. Barnes Review of \em Selected Papers of Alan Hoffman with Commentary, edited by Charles Micchelli, World Scientific, Singapore, xliv + 446 pages . . . . . . 347--350 Anonymous Call for Papers: Special Issue in honor of Friedrich L. Bauer . . . . . . . . . 351--351 Anonymous Author index . . . . . . . . . . . . . . 353--354 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Joel E. Cohen and Johannes H. B. Kemperman and Gheorghe H. Zb\uaganu A family of inequalities originating from coding of messages . . . . . . . . 1--82 Ji-Guang Sun On the sensitivity of the spectral projection . . . . . . . . . . . . . . . 83--94 Henrique F. da Cruz and J. A. Dias da Silva Equality of immanantal decomposable tensors, II . . . . . . . . . . . . . . 95--119 D. Noutsos and S. Serra Capizzano and P. Vassalos Asymptotic behavior of the condition number of two-level Toeplitz matrix sequences . . . . . . . . . . . . . . . 121--140 Fabian Wirth The generalized spectral radius is strictly increasing . . . . . . . . . . 141--153 Andries E. Brouwer and Willem H. Haemers Eigenvalues and perfect matchings . . . 155--162 Erich W. Ellers and Oliver Villa Siegel transformations for even characteristic . . . . . . . . . . . . . 163--174 D. Constantine and M. Darnall Lengths of finite dimensional representations of PBW algebras . . . . 175--181 Chi-Kwong Li and Ren-Cang Li A note on eigenvalues of perturbed Hermitian matrices . . . . . . . . . . . 183--190 Paula Amaral and Pedro Barahona Connections between the total least squares and the correction of an infeasible system of linear inequalities 191--210 Jia-Yu Shao and Hai-Ying Shan The determinantal regions of complex sign pattern matrices and ray pattern matrices . . . . . . . . . . . . . . . . 211--228 Jia-Yu Shao and Hai-Ying Shan and Li-Hua You Ray solvable linear systems and ray $S^2 N S$ matrices . . . . . . . . . . . . . 229--246 Yongjian Hu and Xiuping Zhang and Zhenghong Yang Mixed mean inequalities for several positive definite matrices . . . . . . . 247--263 Hamza Ahmad The Witt kernels of purely inseparable quartic extensions . . . . . . . . . . . 265--273 Charles R. Johnson and Robert Reams Spectral theory of copositive matrices 275--281 Guojing Ren and Yuming Shi and Yi Wang Asymptotic behavior of solutions of perturbed linear difference systems . . 283--302 Gyoung-Sik Choi and Suk-Geun Hwang and Ik-Pyo Kim and Bryan L. Shader $(\pm 1)$-Invariant sequences and truncated Fibonacci sequences . . . . . 303--312 I. G. Ivanov Perturbation analysis for solutions of $X \pm A * X^{-n} A = Q$ . . . . . . . . 313--331 Xiao-Min Tang Additive rank-1 preservers between hermitian matrix spaces and applications 333--342 Baofeng Wu and Enli Xiao and Yuan Hong The spectral radius of trees on $k$ pendant vertices . . . . . . . . . . . . 343--349 Kenjiro Yanagi and Shigeru Furuichi and Ken Kuriyama On trace inequalities and their applications to noncommutative communication theory . . . . . . . . . . 351--359 Che-Man Cheng and Xiao-Qing Jin Some stability properties of T. Chan's preconditioner . . . . . . . . . . . . . 361--365 Rafikul Alam On the construction of nearest defective matrices to a normal matrix . . . . . . 367--370 Anonymous Author index . . . . . . . . . . . . . . 371--372 Anonymous Editorial board . . . . . . . . . . . . ii--iii
André Klein and Peter Spreij On the solution of Stein's equation and Fisher's information matrix of an ARMAX process . . . . . . . . . . . . . . . . 1--34 Ivan Correa and Irvin Roy Hentzel and Pedro Pablo Julca and Luiz Antonio Peresi Nilpotent linear transformations and the solvability of power-associative nilalgebras . . . . . . . . . . . . . . 35--53 E. K.-W. Chu and H.-Y. Fan and W.-W. Lin A structure-preserving doubling algorithm for continuous-time algebraic Riccati equations . . . . . . . . . . . 55--80 Ting-Zhu Huang and Shu-Qian Shen and Hou-Biao Li On generalized $H$-matrices . . . . . . 81--90 Xian Zhang Linear/additive preservers of rank 2 on spaces of alternate matrices over fields 91--102 Vladimir Druskin and Liliana Borcea and Leonid Knizhnerman On the sensitivity of Lanczos recursions to the spectrum . . . . . . . . . . . . 103--125 Li-Ping Huang and Zhe-Xian Wan Geometry of skew-Hermitian matrices . . 127--157 Changjiang Bu Linear maps preserving Drazin inverses of matrices over fields . . . . . . . . 159--173 Josip Pe\vcari\'c and Jadranka Mi\'ci\'c Some functions reversing the order of positive operators . . . . . . . . . . . 175--187 Susumu Okubo Symmetric triality relations and structurable algebras . . . . . . . . . 189--222 Ricardo Soto and Alberto Borobia and Julio Moro On the comparison of some realizability criteria for the real nonnegative inverse eigenvalue problem . . . . . . . 223--241 L. F. Dame and D. D. Olesky and P. van den Driessche The exponent and circumdiameter of primitive digraphs . . . . . . . . . . . 243--258 Joseph E. Carroll and Timothy Lauck and Roland H. Lamberson A Perron Theorem for positive componentwise bilinear maps . . . . . . 259--272 R. Alam and S. Bora On sensitivity of eigenvalues and eigendecompositions of matrices . . . . 273--301 E. R. van Dam and E. Spence Combinatorial designs with two singular values II. Partial geometric designs . . 303--316 A. M. Mathai A pathway to matrix-variate gamma and normal densities . . . . . . . . . . . . 317--328 Izchak Lewkowicz and Leiba Rodman and Elad J. Yarkoni Convex invertible sets and matrix sign function . . . . . . . . . . . . . . . . 329--352 Takayuki Furuta Convergence of logarithmic trace inequalities via generalized Lie--Trotter formulae . . . . . . . . . 353--372 Yi Jiang and William W. Hager and Jian Li The geometric mean decomposition . . . . 373--384 William C. Waterhouse The structure of alternating-Hamiltonian matrices . . . . . . . . . . . . . . . . 385--390 Anonymous Author index . . . . . . . . . . . . . . 391--392 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Ravikiran Rajagopal and Lee C. Potter A generic effective Nullstellensatz . . 1--15 M. A. Fiol Spectral bounds and distance-regularity 17--33 Jesse L. Barlow and Nela Bosner and Zlatko Drma\vc A new stable bidiagonal reduction algorithm . . . . . . . . . . . . . . . 35--84 Madhur Malik and S. R. Mohan On $Q$ and $R_0$ properties of a quadratic representation in linear complementarity problems over the second-order cone . . . . . . . . . . . 85--97 Kazumasa Nomura Tridiagonal pairs and the Askey--Wilson relations . . . . . . . . . . . . . . . 99--106 Claudio Estatico A classification scheme for regularizing preconditioners, with application to Toeplitz systems . . . . . . . . . . . . 107--131 Stephen G. Walker Improving bounds for nonmaximal eigenvalues of positive matrices . . . . 133--139 Adrian Sandovici and Henk de Snoo and Henrik Winkler The structure of linear relations in Euclidean spaces . . . . . . . . . . . . 141--169 M. B. Bekker and A. A. Nudel'man Tangential interpolation problems for a class of automorphic matrix-functions 171--184 Jianguo Huang and Jieyong Zhou A direct proof and a generalization for a Kantorovich type inequality . . . . . 185--192 L. Rodman and I. M. Spitkovsky $3 \times 3$ matrices with a flat portion on the boundary of the numerical range . . . . . . . . . . . . . . . . . 193--207 Sasmita Barik and Sukanta Pati On algebraic connectivity and spectral integral variations of graphs . . . . . 209--222 Ilda P. F. da Silva Recursivity and geometry of the hypercube . . . . . . . . . . . . . . . 223--233 Dominik Benkovi\vc Jordan derivations and antiderivations on triangular matrices . . . . . . . . . 235--244 Stanley Fiorini and Ivan Gutman and Irene Sciriha Trees with maximum nullity . . . . . . . 245--251 Charles R. Johnson and Robert D. Masson and Michael W. Trosset On the diagonal scaling of Euclidean distance matrices to doubly stochastic matrices . . . . . . . . . . . . . . . . 253--264 Abdo Y. Alfakih On the uniqueness of Euclidean distance matrix completions: the case of points in general position . . . . . . . . . . 265--277 N. Castro González Additive perturbation results for the Drazin inverse . . . . . . . . . . . . . 279--297 A. P. da Silva and A. Sri Ranga Polynomials generated by a three term recurrence relation: bounds for complex zeros . . . . . . . . . . . . . . . . . 299--324 Xian Zhang Additive preservers of rank on alternate matrix spaces over fields and applications . . . . . . . . . . . . . . 325--343 Takayuki Furuta A counterexample to the question proposed by Yanagi--Furuichi--Kuriyama on matrix inequalities and related counterexamples . . . . . . . . . . . . 345--353 Chong-Guang Cao and Xian Zhang Linear preservers between matrix modules over connected commutative rings . . . . 355--366 Jun Zhu and Changping Xiong Generalized derivable mappings at zero point on some reflexive operator algebras . . . . . . . . . . . . . . . . 367--379 Imre Bárány and Komei Fukuda A case when the union of polytopes is convex . . . . . . . . . . . . . . . . . 381--388 Anonymous Author index . . . . . . . . . . . . . . 389--390 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Michael Dellnitz and Steve Kirkland and Michael Neumann and Christof Schuette Preface . . . . . . . . . . . . . . . . 1--2 Steve Kirkland Sensitivity of the stable distribution vector for a size-classified population model . . . . . . . . . . . . . . . . . 3--23 John A. D. Aston and Roger N. Gunn Statistical estimation with Kronecker products in positron emission tomography 25--36 Roderick Edwards and Judith J. McDonald and Michael J. Tsatsomeros On matrices with common invariant cones with applications in neural and gene networks . . . . . . . . . . . . . . . . 37--67 R. A. Satnoianu and P. van den Driessche Some remarks on matrix stability with application to Turing instability . . . 69--74 Dmitrii O. Logofet Stronger-than-Lyapunov notions of matrix stability, or how ``flowers'' help solve problems in mathematical ecology . . . . 75--100 James M. Hyman and Jia Li The reproductive number for an HIV model with differential infectivity and staged progression . . . . . . . . . . . . . . 101--116 James A. Powell and Ivan Slapni\vcar and Wopke van der Werf Epidemic spread of a lesion-forming plant pathogen---analysis of a mechanistic model with infinite age structure . . . . . . . . . . . . . . . 117--140 Eike Meerbach and Christof Schütte and Alexander Fischer Eigenvalue bounds on restrictions of reversible nearly uncoupled Markov chains . . . . . . . . . . . . . . . . . 141--160 Peter Deuflhard and Marcus Weber Robust Perron cluster analysis in conformation dynamics . . . . . . . . . 161--184 N. V. Davydova and O. Diekmann and S. A. van Gils On circulant populations. I. The algebra of semelparity . . . . . . . . . . . . . 185--243 Anonymous Author index . . . . . . . . . . . . . . 245--245 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Chi-Kwong Li and Hugo Woerdeman and Fuzhen Zhang Preface and Conference Report . . . . . 1--2 LeRoy B. Beasley and Seok-Zun Song and Kyung-Tae Kang and B. K. Sarma Column ranks and their preservers over nonnegative real matrices . . . . . . . 3--16 N. Bebiano and R. Lemos and J. da Providência and G. Soares On the geometry of numerical ranges in spaces with an indefinite inner product 17--34 Abraham Berman and Changqing Xu $\{0,1\}$ Completely positive matrices 35--51 Jor-Ting Chan and Chi-Kwong Li and Nung-Sing Sze Isometries for unitarily invariant norms 53--70 Huazhang Wu On the multiple Nevanlinna--Pick interpolation problems in some matrix-valued function classes . . . . . 71--90 Er-Xiong Jiang Perturbation in eigenvalues of a symmetric tridiagonal matrix . . . . . . 91--107 Yimin Wei and Huaian Diao On group inverse of singular Toeplitz matrices . . . . . . . . . . . . . . . . 109--123 Zhongshan Li and Frank J. Hall and Jeffrey L. Stuart Reducible powerful ray pattern matrices 125--140 Y. S. Choi and I. Koltracht and P. J. McKenna On eigen-structure of a nonlinear map in $R^n$ . . . . . . . . . . . . . . . . . 141--155 Rafig Agaev and Pavel Chebotarev On the spectra of nonsymmetric Laplacian matrices . . . . . . . . . . . . . . . . 157--168 Thomas I. Seidman and Hans Schneider and Marina Arav Comparison theorems using general cones for norms of iteration matrices . . . . 169--186 Yvan Hachez and Hugo J. Woerdeman Approximating sums of squares with a single square . . . . . . . . . . . . . 187--201 H. Bart and I. Gohberg and M. A. Kaashoek and A. C. M. Ran Schur complements and state space realizations . . . . . . . . . . . . . . 203--224 Volodymyr Prokip On similarity of matrices over commutative rings . . . . . . . . . . . 225--233 Jinchuan Hou and Liankuo Zhao Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces . . . . . . 235--244 Assaf Goldberger and Michael Neumann Perron--Frobenius theory of seminorms: a topological approach . . . . . . . . . . 245--284 Alex Olshevsky and Vadim Olshevsky Kharitonov's Theorem and Bezoutians . . 285--297 Anonymous Author index . . . . . . . . . . . . . . 299--300 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Marcel Steiner Variations on a theme of Frobenius about almost commuting unitary matrices . . . 1--13 Heike Faßbender and Kh. D. Ikramov Several observations on symplectic, Hamiltonian, and skew-Hamiltonian matrices . . . . . . . . . . . . . . . . 15--29 Levent Tunçel and Henry Wolkowicz Strengthened existence and uniqueness conditions for search directions in semidefinite programming . . . . . . . . 31--60 Ji-Ming Guo A new upper bound for the Laplacian spectral radius of graphs . . . . . . . 61--66 Alexander V. Karzanov Concave cocirculations in a triangular grid . . . . . . . . . . . . . . . . . . 67--89 Alicia Labra and Cristián Reyes Representations on train algebras of rank 3 . . . . . . . . . . . . . . . . . 91--97 G. MacGillivray and R. M. Tifenbach and P. van den Driessche Spectrally arbitrary star sign patterns 99--119 Ricardo Pereira and Paula Rocha and Paolo Vettori Algebraic tools for the study of quaternionic behavioral systems . . . . 121--140 Jun Ichi Fujii A trace inequality arising from quantum information theory . . . . . . . . . . . 141--146 David W. Kribs A quantum computing primer for operator theorists . . . . . . . . . . . . . . . 147--167 Yi-Jia Tan On the transitive matrices over distributive lattices . . . . . . . . . 169--191 Yiyuan She and Pengwei Hao On the necessity and sufficiency of PLUS factorizations . . . . . . . . . . . . . 193--202 Chi-Kwong Li and Leiba Rodman Inverse closed ray-nonsingular cones of matrices . . . . . . . . . . . . . . . . 203--230 Miroslav Fiedler Inversion of $e$-simple block matrices 231--241 S. K. Neogy and A. K. Das Principal pivot transforms of some classes of matrices . . . . . . . . . . 243--252 N. Castro-González and E. Dopazo Representations of the Drazin inverse for a class of block matrices . . . . . 253--269 Aimei Yu and Mei Lu and Feng Tian Characterization on graphs which achieve a Das' upper bound for Laplacian spectral radius . . . . . . . . . . . . 271--277 Chun-Hsien Li and Suh-Yuh Yang On a conjecture in $D$-optimal designs with $n \equiv 0 mod 4$ . . . . . . . . 279--290 Chi-Kwong Li and Yiu-Tung Poon and Nung-Sing Sze Linear maps transforming the higher numerical ranges . . . . . . . . . . . . 291--311 Hong-Ke Du and Yuan Li The spectral characterization of generalized projections . . . . . . . . 313--318 Francesco Ticozzi Optimal commuting approximation of Hermitian operators . . . . . . . . . . 319--325 Pengtong Li and Fangyan Lu Additivity of Jordan elementary maps on nest algebras . . . . . . . . . . . . . 327--338 J. A. Rodríguez A spectral approach to the Randi\'c index . . . . . . . . . . . . . . . . . 339--344 Dragan Stevanovi\'c and Ivan Stankovi\'c Remarks on hyperenergetic circulant graphs . . . . . . . . . . . . . . . . . 345--348 Anonymous Call for Papers: 13th ILAS Conference 349--349 Anonymous Author index . . . . . . . . . . . . . . 351--352 Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 353--357 Anonymous Referees for volumes 381--400 . . . . . 359--363 Anonymous Special Issues and Proceedings in volumes 301--400 . . . . . . . . . . . . 365--366 Anonymous Author index to volumes 301--400 . . . . 367--430 Anonymous Editorial board . . . . . . . . . . . . ii--iii
José Dias da Silva and Eduardo Marques de Sá and Russell Merris and Fernando Conceição Silva and João Filipe Queiró Dedication . . . . . . . . . . . . . . . 1--4 Anonymous Main research publications of Graciano de Oliveira . . . . . . . . . . . . . . 5--9 Cristina Caldeira Generalized derivations restricted to Grassmann spaces and additive theory . . 11--27 J. A. Dias da Silva and Henrique F. da Cruz Equality of immanantal decomposable tensors . . . . . . . . . . . . . . . . 29--46 Rosário Fernandes Matrices that preserve the value of the generalized matrix function of the upper triangular matrices . . . . . . . . . . 47--65 Russell Merris Immanantal invariants of graphs . . . . 67--75 J. A. Dias da Silva and Maria M. Torres On the orthogonal dimension of orbital sets . . . . . . . . . . . . . . . . . . 77--107 Mario Ahues and Alain Largillier and Filomena Dias d'Almeida and Paulo B. Vasconcelos Spectral refinement on quasi-diagonal matrices . . . . . . . . . . . . . . . . 109--117 M. Asunción Beitia and Inmaculada de Hoyos and Ion Zaballa The change of the Jordan structure under one row perturbations . . . . . . . . . 119--134 A. Roca and I. Zaballa A polynomial approach to the invariant factors assignment problem via state feedback and output injection . . . . . 135--158 N. Bebiano and R. Lemos and J. da Providência Inequalities for quantum relative entropy . . . . . . . . . . . . . . . . 159--172 Chi-Kwong Li and Tin-Yau Tam Operator properties of $T$ and $K(T)$ 173--191 R. Bapat and S. J. Kirkland and M. Neumann On distance matrices and Laplacians . . 193--209 N. Bebiano and G. Soares Three observations on the determinantal range . . . . . . . . . . . . . . . . . 211--220 Olga Azenhas and Ricardo Mamede Action of the symmetric group on sets of skew-tableaux with prescribed matrix realization . . . . . . . . . . . . . . 221--275 Juan-Miguel Gracia Nearest matrix with two prescribed eigenvalues . . . . . . . . . . . . . . 277--294 C. Mendes Araújo and Juan R. Torregrosa and Ana M. Urbano The doubly negative matrix completion problem . . . . . . . . . . . . . . . . 295--306 Wai-Shun Cheung and M. Antonia Duffner and Chi-Kwong Li Multiplicative preservers and induced operators . . . . . . . . . . . . . . . 307--323 LeRoy B. Beasley and Alexander E. Guterman and Sang-Gu Lee and Seok-Zun Song Linear preservers of zeros of matrix polynomials . . . . . . . . . . . . . . 325--340 Abraham Berman and Thomas J. Laffey Similarity classes and principal submatrices . . . . . . . . . . . . . . 341--351 M. Asunción Beitia and Ion Zaballa Equivalence of quadruples and feedback equivalence of related pairs . . . . . . 353--369 Jorma K. Merikoski and Ravinder Kumar Upper bounds for singular values . . . . 371--379 R. E. Hartwig and P. Patrício and R. Puystjens Diagonalizing triangular matrices via orthogonal Pierce decompositions . . . . 381--391 E. Marques de Sá and Yu Lin Zhang On the number of invariant factors of matrix products . . . . . . . . . . . . 393--399 I. Baragaña and V. Fernández and I. Zaballa Hermite indices and the action of the feedback group . . . . . . . . . . . . . 401--427 F. Puerta and X. Puerta and I. Zaballa On the parametrization of the controllability subspaces of a controllable pair . . . . . . . . . . . 429--444 X. Puerta Versal deformations in generalized flag manifolds . . . . . . . . . . . . . . . 445--451 Susana Furtado and Enide Andrade Martins and Fernando C. Silva On similarity invariants of matrix commutators and Jordan products . . . . 453--466 Américo Bento and António Leal Duarte On Fiedler's characterization of tridiagonal matrices over arbitrary fields . . . . . . . . . . . . . . . . . 467--481 Anonymous Author index . . . . . . . . . . . . . . 483--484 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Ulric Kintzel Procrustes problems in finite dimensional indefinite scalar product spaces . . . . . . . . . . . . . . . . . 1--28 Chai Wah Wu On bounds of extremal eigenvalues of irreducible and $m$-reducible matrices 29--45 Charles R. Johnson and Tomasz Szulc and Dominika Wojtera-Tyrakowska Optimal Gersgorin-style estimation of extremal singular values . . . . . . . . 46--60 Xiaohong Cao and Maozheng Guo and Bin Meng Weyl's theorem for upper triangular operator matrices . . . . . . . . . . . 61--73 H. Narayanan On set functions that can be extended to convex functionals . . . . . . . . . . . 74--100 Jason P. Bell A gap result for the norms of semigroups of matrices . . . . . . . . . . . . . . 101--110 Qiuhui Chen and Charles A. Micchelli and Yuesheng Xu Biorthogonal multivariate filter banks from centrally symmetric matrices . . . 111--125 Roberto Bevilacqua and Enrico Bozzo and Gianna M. Del Corso Transformations to rank structures by unitary similarity . . . . . . . . . . . 126--134 Genrich Belitskii and Vitalij M. Bondarenko and Ruvim Lipyanski and Vladimir V. Plachotnik and Vladimir V. Sergeichuk The problems of classifying pairs of forms and local algebras with zero cube radical are wild . . . . . . . . . . . . 135--142 Yaoping Hou and Feng Tian A note on Hoffman-type identities of graphs . . . . . . . . . . . . . . . . . 143--149 Yang Han Subrepresentations of Kronecker representations . . . . . . . . . . . . 150--164 A. Hadjidimos On the equivalence of extrapolation and Richardson's iteration and its applications . . . . . . . . . . . . . . 165--192 Sang Og Kim Automorphisms of Hilbert space effect algebras . . . . . . . . . . . . . . . . 193--198 B. P. Duggal On the range closure of an elementary operator . . . . . . . . . . . . . . . . 199--206 Chai Wah Wu On Rayleigh--Ritz ratios of a generalized Laplacian matrix of directed graphs . . . . . . . . . . . . . . . . . 207--227 Marianna Bolla Recognizing linear structure in noisy matrices . . . . . . . . . . . . . . . . 228--244 Sever S. Dragomir Some reverses of the generalised triangle inequality in complex inner product spaces . . . . . . . . . . . . . 245--254 Ibrahim Masri and Andrew Tonge Norm estimates for random multilinear Hankel forms . . . . . . . . . . . . . . 255--262 Ming-Huat Lim Rank-one nonincreasing additive mappings on second symmetric product spaces . . . 263--271 Victor Ayala and Fritz Colonius and Wolfgang Kliemann Dynamical characterization of the Lyapunov form of matrices . . . . . . . 272--290 Wai-Leong Chooi and Ming-Huat Lim Additive preservers of rank-additivity on matrix spaces . . . . . . . . . . . . 291--302 Chunjun Meng and Xiyan Hu and Lei Zhang The skew-symmetric orthogonal solutions of the matrix equation $AX = B$ . . . . 303--318 Milan Hladnik and John Holbrook Optimal measures for Toeplitz matrices 319--334 Jian-Hua Zhang and Ai-Li Yang and Fang-Fang Pan Local automorphisms of nest subalgebras of factor von Neumann algebras . . . . . 335--344 Bin Zhou and Guang-Ren Duan An explicit solution to the matrix equation $AX - XF = BY$ . . . . . . . . 345--366 Jorge Antezana and Gustavo Corach and Mariano Ruiz and Demetrio Stojanoff Weighted projections and Riesz frames 367--389 Mei Lu and Huiqing Liu and Feng Tian Bounds of Laplacian spectrum of graphs based on the domination number . . . . . 390--396 Lily Kolotilina Book Review: Richard S. Varga, Ger\vsgorin and his circles, Springer series in computational mathematics vol. 36, Springer-Verlag, Berlin, Heidelberg, New York (2004) ISBN-10 3-540-21100-4, x + 226 pp . . . . . . . . . . . . . . . . 397--402 Anonymous Author index . . . . . . . . . . . . . . 403--404 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Kazumasa Nomura A refinement of the split decomposition of a tridiagonal pair . . . . . . . . . 1--23 Takayuki Furuta Reverse inequalities involving two relative operator entropies and two relative entropies . . . . . . . . . . . 24--30 Raúl Felipe and Nancy López-Reyes and Fausto Ongay and Raúl Velásquez Yang--Baxter equations on matrix dialgebras with a bar unit . . . . . . . 31--44 Salah M. El-Sayed and Milko G. Petkov Iterative methods for nonlinear matrix equations $X + A^*X^{-\alpha} A = I$ . . 45--52 William F. Trench Multilevel matrices with involutory symmetries and skew symmetries . . . . . 53--74 Kenneth S. Berenhaut and Dipankar Bandyopadhyay Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices . . . . . . . . . . . . . . . . 75--85 Elmouloudi Ed-dari On the numerical index of Banach spaces 86--96 Oscar Rojo and Ricardo Soto The spectra of the adjacency matrix and Laplacian matrix for some balanced trees 97--117 Kazumasa Nomura Tridiagonal pairs of height one . . . . 118--142 Xiezhang Li and Edward Arroyo A condition for the superiority of the $(2,2)$-step methods over the related Chebyshev method . . . . . . . . . . . . 143--158 Kirby C. Smith and Leon van Wyk A concrete matrix field description of some Galois fields . . . . . . . . . . . 159--164 D. Chillag and R. Holzman and I. Yona Primitive normal matrices and covering numbers of finite groups . . . . . . . . 165--177 Damjan Kobal Belitskii's canonical form for $5 \times 5$ upper triangular matrices under upper triangular similarity . . . . . . . . . 178--182 C. Kravvaritis and M. Mitrouli and Jennifer Seberry On the growth problem for skew and symmetric conference matrices . . . . . 183--206 Geir Dahl A method for approximating symmetrically reciprocal matrices by transitive matrices . . . . . . . . . . . . . . . . 207--215 Albrecht Böttcher and David Wenzel How big can the commutator of two matrices be and how big is it typically? 216--228 Chunjun Meng and Xiyan Hu and Lei Zhang and Frank Uhlig Completion of an orthogonal projector and a related inverse mapping problem 229--247 Ajda Fo\vsner Order preserving maps on the poset of upper triangular idempotent matrices . . 248--262 Helena My\vsková Interval systems of max-separable linear equations . . . . . . . . . . . . . . . 263--272 Baodong Zheng and Yuqiu Sheng On transformation partly preserving a nonsingular bilinear function . . . . . 273--284 A. Cossidente and A. Siciliano On some maximal subgroups in Aschbacher's class $\mathcal{C}_5$ . . . 285--290 André Klein and Guy Mélard and Peter Spreij On the resultant property of the Fisher information matrix of a vector ARMA process . . . . . . . . . . . . . . . . 291--313 Gi-Sang Cheon and Ian M. Wanless An update on Minc's survey of open problems involving permanents . . . . . 314--342 Francisco D. Martínez Pería and Pedro G. Massey and Luis E. Silvestre Weak matrix majorization . . . . . . . . 343--368 Sho Matsumoto $\alpha$-Pfaffian, Pfaffian point process and shifted Schur measure . . . 369--398 Peisheng Ji and Lin Wang Lie triple derivations of TUHF algebras 399--408 Miroslav Fiedler Geometry of the Laplacian . . . . . . . 409--413 J. Benítez and N. Thome Idempotency of linear combinations of an idempotent matrix and a $t$-potent matrix that commute . . . . . . . . . . 414--418 Anonymous Author index . . . . . . . . . . . . . . 419--420 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Harry Dym and Shahar Nevo Zero cancellation . . . . . . . . . . . 1--26 Harry Dym and Shahar Nevo Pole cancellation . . . . . . . . . . . 27--57 Xiaoling Shen and Yaoping Hou and Yuanping Zhang Graph $Z_n$ and some graphs related to $Z_n$ are determined by their spectrum 58--68 Vincent D. Blondel and Laure Ninove and Paul Van Dooren An affine eigenvalue problem on the nonnegative orthant . . . . . . . . . . 69--84 Leonid Gurvits and James Ledoux Markov property for a function of a Markov chain: A linear algebra approach 85--117 Bernhard G. Bodmann and Vern I. Paulsen Frames, graphs and erasures . . . . . . 118--146 Dietrich Burde On the matrix equation $XA - AX = X^p$ 147--165 Vejdi I. Hasanov Positive definite solutions of the matrix equations $X \pm A * X^{-q} A = Q$ . . . . . . . . . . . . . . . . . . . 166--182 Jun Ji Explicit expressions of the generalized inverses and condensed Cramer rules . . 183--192 Natacha Béreux Fast direct solvers for some complex symmetric block Toeplitz linear systems 193--222 Moshe Goldberg Stable norms --- From theory to applications and back . . . . . . . . . 223--250 Ji-Ming Guo On the second largest Laplacian eigenvalue of trees . . . . . . . . . . 251--261 Walter Bradley and Jingjing Ma Lattice-ordered $2 \times 2$ triangular matrix algebras . . . . . . . . . . . . 262--274 Yong-Liang Pan and Yi-Zheng Fan and Jiong-Sheng Li Spectral rational variation in two places for adjacency matrix is impossible . . . . . . . . . . . . . . . 275--282 Han Hyuk Cho and Jong Sam Jeon and Hwa Kyung Kim Periodic, irreducible, powerful ray pattern matrices . . . . . . . . . . . . 283--296 Oscar Rojo Improved bounds for the largest eigenvalue of trees . . . . . . . . . . 297--304 Yuli Eidelman and Israel Gohberg and Vadim Olshevsky The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order . . . . . . . . . . . . . . . . . 305--324 Jun Zhu and Changping Xiong Characterization of generalized Jordan $*$-left derivations on real nest algebras . . . . . . . . . . . . . . . . 325--344 Monika Molnárová Generalized matrix period in max-plus algebra . . . . . . . . . . . . . . . . 345--366 Christopher King and Michael Nathanson and Mary Beth Ruskai Multiplicativity properties of entrywise positive maps . . . . . . . . . . . . . 367--379 V. G. Tkachev Ullemar's formula for the moment map, II 380--388 Irvin Roy Hentzel and Alicia Labra On representations on right nilalgebras of right nilindex four . . . . . . . . . 389--400 Anonymous Call for Papers: Special Issue in honor of Roger Horn . . . . . . . . . . . . . 401--401 Anonymous Author index . . . . . . . . . . . . . . 403--404 Anonymous Editorial board . . . . . . . . . . . . ii--iii
Y. Eidelman and I. Gohberg and Vadim Olshevsky Eigenstructure of order-one-quasiseparable matrices. Three-term and two-term recurrence relations . . . . . . . . . . . . . . . 1--40 Samir Karaa A limit result concerning the QR factorization of banded Toeplitz matrices . . . . . . . . . . . . . . . . 41--44 Aimei Yu and Mei Lu and Feng Tian Ordering trees by their Laplacian spectral radii . . . . . . . . . . . . . 45--59 Ashkan Ashrafi and Peter M. Gibson Eigenvalues of Hadamard powers of large symmetric Pascal matrices . . . . . . . 60--66 Janez Bernik and Jan Okni\'nski On semigroups of matrices with eigenvalue 1 in small dimensions . . . . 67--73 J. A. Hermida Alonso and M. M. López-Cabeceira and M. T. Trobajo When are dynamic and static feedback equivalent? . . . . . . . . . . . . . . 74--82 T. Banks and T. Constantinescu and Nermine El-Sissi Tensor algebras and displacement structure. IV. Invariant kernels . . . . 83--103 Sapna Jain and Ki-Bong Nam and Ki-Suk Lee On some perfect codes with respect to Lee metric . . . . . . . . . . . . . . . 104--120 Marija Dodig Feedback invariants of matrices with prescribed rows . . . . . . . . . . . . 121--154 E. Spiegel Involutions in incidence algebras . . . 155--162 Jennifer Seberry and Sarah A. Spence and Tadeusz A. Wysocki A construction technique for generalized complex orthogonal designs and applications to wireless communications 163--176 Jorge Antezana and Pedro Massey and Demetrio Stojanoff $\lambda$-Aluthge transforms and Schatten ideals . . . . . . . . . . . . 177--199 J. C. Rosales Fundamental gaps of numerical semigroups generated by two elements . . . . . . . 200--208 Ricardo C. L. F. Oliveira and Pedro L. D. Peres Stability of polytopes of matrices via affine parameter-dependent Lyapunov functions: Asymptotically exact LMI conditions . . . . . . . . . . . . . . . 209--228 Xiaohong Cao Weyl's theorem for analytically hyponormal operators . . . . . . . . . . 229--238 Erik G. Boman and Doron Chen and Ojas Parekh and Sivan Toledo On factor width and symmetric $H$-matrices . . . . . . . . . . . . . . 239--248 Boris Lavri\vc The isometries of certain maximum norms 249--263 E. N. Antoniou and A. I. G. Vardulakis and S. Vologiannidis Numerical computation of minimal polynomial bases: A generalized resultant approach . . . . . . . . . . . 264--278 Dong Liu and Naihong Hu Steinberg unitary Leibniz algebras . . . 279--303 Máté Matolcsi A geometric estimate on the norm of product of functionals . . . . . . . . . 304--310 Runling An and Jinchuan Hou and Liankuo Zhao Adjacency preserving maps on the space of symmetric operators . . . . . . . . . 311--324 Anonymous Special Issue devoted to papers presented at the Aveiro Workshop on Graph Spectra, 10--12 April 2006 . . . . 325--325 Anonymous Author index . . . . . . . . . . . . . . 327--328 Anonymous Editorial board . . . . . . . . . . . . ii--iii
P. Lancaster and L. Rodman Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence . . . . . . . . . . . . . . . 1--76 M. Renardy and D. L. Russell A discrete systems approach to cardinal spline Hermite interpolation . . . . . . 77--98 Masahisa Sato Periodic Coxeter matrices and their associated quadratic forms . . . . . . . 99--108 Suliman Al-Homidan and Henry Wolkowicz Approximate and exact completion problems for Euclidean distance matrices using semidefinite programming . . . . . 109--141 Eric V. Denardo and Uriel G. Rothblum Totally expanding multiplicative systems 142--158 H. Momenaee Kermani and M. Radjabalipour On triangularizability of the commutant of a single matrix . . . . . . . . . . . 159--164 Marcelo D. Fragoso and Jack Baczynski On an infinite dimensional perturbed Riccati differential equation arising in stochastic control . . . . . . . . . . . 165--176 Ross A. Lippert Fixing two eigenvalues by a minimal perturbation . . . . . . . . . . . . . . 177--200 Song-Chol Han and Hong-Xing Li and Jia-Yin Wang On nilpotent incline matrices . . . . . 201--217 C. Koukouvinos and M. Mitrouli and Jennifer Seberry Values of minors of some infinite families of matrices constructed from supplementary difference sets and their application to the growth problem . . . 218--234 C. Mendes Araújo and Juan R. Torregrosa and Ana M. Urbano The symmetric $N$-matrix completion problem . . . . . . . . . . . . . . . . 235--252 Jason J. Molitierno The spectral radius of submatrices of Laplacian matrices for trees and its comparison to the Fiedler vector . . . . 253--271 Martin E. Muldoon Generalized hyperbolic functions, circulant matrices and functional equations . . . . . . . . . . . . . . . 272--284 Luis Verde-Star Functions of matrices . . . . . . . . . 285--300 Susan Y. J. Wu and Arthur L. B. Yang Division and the Giambelli identity . . 301--309 S. R. Mohan Book Review: Guorong Wang, Yimin Wei and Sanzheng Qiao, Review of Generalized Inverses: Theory and Computations, Graduate Series in Mathematics vol. 5, Science Press, Beijing (2004) ISBN-10 7-03-012437-5, ISBN-13 978-7-03-012437-1 310--312
Chuan-Long Wang and Guo-Yan Meng Nonstationary multisplittings with general weighting matrices for mildly nonlinear systems . . . . . . . . . . . 1--10 Ming-Chao Cai and Xiao-Qing Jin and Yi-Min Wei A generalization of T. Chan's preconditioner . . . . . . . . . . . . . 11--18 Shigeru Furuichi and Kenjiro Yanagi and Ken Kuriyama A note on operator inequalities of Tsallis relative operator entropy . . . 19--31 Omar Hirzallah Inequalities for sums and products of operators . . . . . . . . . . . . . . . 32--42 Luis M. Fernández and Laura Martín-Martínez Lie algebras associated with triangular configurations . . . . . . . . . . . . . 43--63 Jean-Christophe Bourin Singular values of products of positive operators: AZB and ZAB . . . . . . . . . 64--70 Pasha Zusmanovich Low-dimensional cohomology of current Lie algebras and analogs of the Riemann tensor for loop manifolds . . . . . . . 71--104 Lihua You and Bolian Liu and Jian Shen $r$-Indecomposable and $r$-nearly decomposable matrices . . . . . . . . . 105--116 Hong-Ke Du and Chun-Yuan Deng The representation and characterization of Drazin inverses of operators on a Hilbert space . . . . . . . . . . . . . 117--124 N. Bebiano and H. Nakazato and J. da Providência and R. Lemos and G. Soares Inequalities for $J$-Hermitian matrices 125--139 B. P. Duggal Riesz projections for a class of Hilbert space operators . . . . . . . . . . . . 140--148 Yung-Yih Lur On the asymptotic stability of nonnegative matrices in max algebra . . 149--161 Byeong Moon Kim and Byung Chul Song and Woonjae Hwang Nonnegative primitive matrices with exponent $2$ . . . . . . . . . . . . . . 162--168 Kenneth R. Davidson and Dragomir \vZ. \Dbarokovi\'c Tridiagonal forms in low dimensions . . 169--188 Aleksej Turn\vsek On operators preserving James' orthogonality . . . . . . . . . . . . . 189--195 Xiao-Dong Zhang A note on doubly stochastic graph matrices . . . . . . . . . . . . . . . . 196--200 Shu-Guang Guo On bicyclic graphs whose second largest eigenvalue does not exceed 1 . . . . . . 201--210 Hiroshi Nakazato and Natália Bebiano and João da Providência $J$-orthostochastic matrices of size $3 \times 3$ and numerical ranges of Krein space operators . . . . . . . . . . . . 211--232 L. K. Jòrgensen Rank of adjacency matrices of directed (strongly) regular graphs . . . . . . . 233--241 Adam Czornik On the generalized spectral subradius 242--248 Genrich Belitskii and Ruvim Lipyanski and Vladimir V. Sergeichuk Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild . . . . 249--262 Yubin Gao and Yanling Shao Exponents of two-colored digraphs with two cycles . . . . . . . . . . . . . . . 263--276 Gegenhasi and Jun-Xiao Zhao and Xing-Biao Hu and Hon-Wah Tam Pfaffianization of the discrete three-dimensional three wave interaction equation . . . . . . . . . . . . . . . . 277--295 Suk-Geun Hwang and Ik-Pyo Kim and Si-Ju Kim and Sang-Gu Lee The number of zeros of a tight sign-central matrix . . . . . . . . . . 296--310
Pablo Tarazaga Faces of the cone of Euclidean distance matrices: Characterizations, structure and induced geometry . . . . . . . . . . 1--13 Miroslav Fiedler A note on sign-nonsingular matrices . . 14--18 Brian Hartwig Three mutually adjacent Leonard pairs 19--39 M. J. Cantero and L. Moral and L. Velázquez Minimal representations of unitary operators and orthogonal polynomials on the unit circle . . . . . . . . . . . . 40--65 Xiao-ping Pan and Xi-yan Hu and Lei Zhang A class of constrained inverse eigenproblem and associated approximation problem for skew symmetric and centrosymmetric matrices . . . . . . 66--77 Shu-Guang Guo The spectral radius of unicyclic and bicyclic graphs with $n$ vertices and $k$ pendant vertices . . . . . . . . . . 78--85 Boris Mirman and Pradeep Shukla A characterization of complex plane Poncelet curves . . . . . . . . . . . . 86--119 Andrea Previtali Unitriangular actions on quadratic forms and character degrees . . . . . . . . . 120--150 Ronald A. Walker Linear dependence of quotients of analytic functions of several variables with the least subcollection of generalized Wronskians . . . . . . . . . 151--160 Huajun Huang and Tin-Yau Tam On the QR iterations of real matrices 161--176 A. Abdollahi The numerical range of a composition operator with conformal automorphism symbol . . . . . . . . . . . . . . . . . 177--188 Aiping Deng and Yaokun Wu Characteristic polynomials of digraphs having a semi-free action . . . . . . . 189--206 Leslie Hogben and Charles R. Johnson and Robert Reams The copositive completion problem . . . 207--211 Tan Xuezhong and Bolian Liu On the nullity of unicyclic graphs . . . 212--220 Yongdo Lim The inverse mean problem of geometric mean and contraharmonic means . . . . . 221--229 Mikhail A. Chebotar and Yuen Fong and Pjek-Hwee Lee On maps preserving zeros of the polynomial $x y - y x*$ . . . . . . . . 230--243 Xiaoxia Zhang and Ervin Yunwei Zhao The compact quantum group U$_q$(2) I . . 244--258 M. H. Lim Additive mappings between Hermitian matrix spaces preserving rank not exceeding one . . . . . . . . . . . . . 259--267 Olga Holtz The inverse eigenvalue problem for symmetric anti-bidiagonal matrices . . . 268--274 Qingxiang Yin Construction of real symmetric and per-antisymmetric matrices with prescribed spectrum data . . . . . . . . 275--283 Giovanni Sburlati On the values of permanents of $(0,1)$ circulant matrices with three ones per row . . . . . . . . . . . . . . . . . . 284--297 Heide Gluesing-Luerssen On the weight distribution of convolutional codes . . . . . . . . . . 298--326
S. Kirkland and J. J. McDonald and D. D. Olesky and M. J. Tsatsomeros Preface . . . . . . . . . . . . . . . . 1--12 Francesco Barioli and Shaun Fallat and Leslie Hogben On the difference between the maximum multiplicity and path cover number for tree-like graphs . . . . . . . . . . . . 13--31 Minerva Catral and Michael Neumann and Jianhong Xu Proximity in group inverses of $M$-matrices and inverses of diagonally dominant $M$-matrices . . . . . . . . . 32--50 Peter Lancaster Isospectral vibrating systems. Part 1. The spectral method . . . . . . . . . . 51--69 Clark Jeffries Bipartite and tripartite systems and matrices from genetic control research 70--78 Xiao-Dong Zhang Eigenvectors and eigenvalues of non-regular graphs . . . . . . . . . . . 79--86 C. R. Johnson and D. D. Olesky Rectangular submatrices of inverse $\cal M$-matrices and the decomposition of a positive matrix as a sum . . . . . . . . 87--99 C. Connell McCluskey A strategy for constructing Lyapunov functions for non-autonomous linear differential equations . . . . . . . . . 100--110 Marina Arav and Frank J. Hall and Selcuk Koyuncu and Zhongshan Li and Bhaskara Rao Rational realizations of the minimum rank of a sign pattern matrix . . . . . 111--125 Minerva Catral and Michael Neumann and Jianhong Xu Matrix analysis of a Markov chain small-world model . . . . . . . . . . . 126--146 L. Elsner A note on generalized Hessenberg matrices . . . . . . . . . . . . . . . . 147--152 Kinkar Ch. Das and R. B. Bapat A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs 153--165 Mei-Qin Chen and Xiezhang Li Spectral properties of a near-periodic row-stochastic Leslie matrix . . . . . . 166--186
Simo Puntanen and George P. H. Styan and Hans Joachim Werner Preface . . . . . . . . . . . . . . . . 1--2 Oskar Maria Baksalary and George P. H. Styan Some comments on the life and publications of Jerzy K. Baksalary (1944--2005) . . . . . . . . . . . . . . 3--53 Tadeusz Cali\'nski On some of Jerzy Baksalary's contributions to the theory of block designs . . . . . . . . . . . . . . . . 54--63 Jerzy K. Baksalary and Oskar Maria Baksalary An invariance property related to the reverse order law . . . . . . . . . . . 64--69 Ton Steerneman and Frederieke van Perlo-ten Kleij Properties of the matrix $A - X Y*$ . . 70--86 Eckehard Frauendorf and Heinz Neudecker and Götz Trenkler Multivariate data, the arithmetic mean and exchangeability of transformations 87--95 Wilfried Hazod Normalisers and centralisers of compact matrix groups. An elementary approach 96--111 Erik Meijer Matrix algebra for higher order moments 112--134 Jorma Kaarlo Merikoski and Ravinder Kumar Lower bounds for the numerical radius 135--142 Götz Trenkler and Simo Puntanen A multivariate version of Samuelson's inequality . . . . . . . . . . . . . . . 143--149 Julio Benítez and Néstor Thome Characterizations and linear combinations of $k$-generalized projectors . . . . . . . . . . . . . . . 150--159 Luc Pronzato and Henry P. Wynn and Anatoly Zhigljavsky Kantorovich-type inequalities for operators via $D$-optimal design theory 160--169 V. M. Raats and B. B. van der Genugten and J. J. A. Moors Multivariate regression with consecutively added dependent variables 170--197 A. M. Mathai and Serge B. Provost Some complex matrix-variate statistical distributions on rectangular matrices 198--216 Jeffrey J. Hunter Stationary distributions and mean first passage times of perturbed Markov chains 217--243 Richard W. Farebrother and Götz Trenkler On generalized quadratic matrices . . . 244--253 K. Balasubramanian and M. I. Beg Three isomorphic vector spaces---II . . 254--266 Yoshio Takane and Haruo Yanai On the Wedderburn--Guttman theorem . . . 267--278 Czes\law St\kepniak Matrix equations with restraints and their statistical applications . . . . . 279--287 Anonymous Author index . . . . . . . . . . . . . . 288--289
Wayne Barrett and Samad Hedayat and Christian Krattenthaler and Raphael Loewy Preface . . . . . . . . . . . . . . . . 1--2 Pieter Maritz Sir Thomas Muir, 1844--1934 . . . . . . 3--67 C. Krattenthaler Advanced determinant calculus: A complement . . . . . . . . . . . . . . . 68--166 Gian-Carlo Rota and Joel Alvin Stein A problem of Cayley from 1857 and how he could have solved it . . . . . . . . . . 167--253 Donald W. Robinson The classical adjoint . . . . . . . . . 254--276 Don Coppersmith and Alan J. Hoffman On the singularity of matrices . . . . . 277--280 Warren P. Johnson Confluent $q$-extensions of some classical determinants . . . . . . . . . 281--294 R. B. Bapat Distance matrix and Laplacian of a tree with attached graphs . . . . . . . . . . 295--308 A. N. Willson, Jr. and H. J. Orchard An efficient resultant for determining reciprocal zeros in polynomials . . . . 309--327 S. Humphries and C. Krattenthaler Trace identities from identities for determinants . . . . . . . . . . . . . . 328--342 Emmanuel Briand On a matrix function interpolating between determinant and permanent . . . 343--347 Avner Ash Non-vanishing of alternants . . . . . . 348--355 M. C. Crabb and A. J. B. Potter Determinants and periodic solutions of delay equations . . . . . . . . . . . . 356--363 Cristina M. Ballantine and Sharon M. Frechette and John B. Little Determinants associated to zeta matrices of posets . . . . . . . . . . . . . . . 364--370 Guo-Guang Yan and Arthur L. B. Yang and Joan J. Zhou The zrank conjecture and restricted Cauchy matrices . . . . . . . . . . . . 371--385 Charles R. Johnson and Stefan Leichenauer and Peter McNamara and Roberto Costas Principal minor sums of $(A + t B)^m$ 386--389 Anonymous Author index . . . . . . . . . . . . . . 390--390
Vadim Olshevsky and Ivan Oseledets and Eugene Tyrtyshnikov Tensor properties of multilevel Toeplitz and related matrices . . . . . . . . . . 1--21 Jeffrey Danciger A min--max theorem for complex symmetric matrices . . . . . . . . . . . . . . . . 22--29 Jessica Benton and Rion Snow and Nolan Wallach A combinatorial problem associated with nonograms . . . . . . . . . . . . . . . 30--38 K. C. O'Meara and C. Vinsonhaler On approximately simultaneously diagonalizable matrices . . . . . . . . 39--74 Anonymous Call for Papers: Special Issue on Linear and Nonlinear Models and Algorithms in Intensity-Modulated Radiation Therapy (IMRT) . . . . . . . . . . . . . . . . . 75--76
T. S. Michael and Thomas Quint Optimal strategies for node selection games on oriented graphs: Skew matrices and symmetric games . . . . . . . . . . 77--92 Wojciech Paszke and Krzysztof Ga\lkowski and Eric Rogers and David H. Owens ${\cal H}_\infty$ and guaranteed cost control of discrete linear repetitive processes . . . . . . . . . . . . . . . 93--131 Dimitrios Noutsos On Perron--Frobenius property of matrices having some negative entries 132--153 Vejdi I. Hasanov and Salah M. El-Sayed On the positive definite solutions of nonlinear matrix equation $X + A^* X^{-\delta} A = Q$ . . . . . . . . . . . 154--160 Bernardo M. Ábrego and Silvia Fernández-Merchant and Michael G. Neubauer and William Watkins Trace-minimal graphs and $D$-optimal weighing designs . . . . . . . . . . . . 161--221 Gema M. Diaz-Toca and Laureano Gonzalez-Vega Computing greatest common divisors and squarefree decompositions through matrix methods: The parametric and approximate cases . . . . . . . . . . . . . . . . . 222--246 Nadia Ben Atti and Gema M. Diaz--Toca Block diagonalization and LU-equivalence of Hankel matrices . . . . . . . . . . . 247--269 Jorge Buescu and A. C. Paixão A linear algebraic approach to holomorphic reproducing kernels in $\mathbb{C}^n$ . . . . . . . . . . . . . 270--290 M. Barot and J. A. de la Peña Root-induced integral quadratic forms 291--302 Che Tat Ng and Weinian Zhang An algebraic equation for linear operators . . . . . . . . . . . . . . . 303--325 Daniel Alpay and Haim Attia and Dan Volok Realization theorems for stationary multiscale systems . . . . . . . . . . . 326--347 Jian-Hua Zhang and An-Li Yang and Fang-Fang Pan Linear maps preserving zero products on nest subalgebras of von Neumann algebras 348--361 M. J. Soto and J. L. Vicente Polyhedral cones and monomial blowing-ups . . . . . . . . . . . . . . 362--372 Xian Zhang and Chong-guang Cao Linear $k$-power/$k$-potent preservers between matrix spaces . . . . . . . . . 373--379 Roger A. Horn and Vladimir V. Sergeichuk A regularization algorithm for matrices of bilinear and sesquilinear forms . . . 380--395 G. Viswanath and B. Sundar Rajan Matrix characterization of linear codes with arbitrary Hamming weight hierarchy 396--407 G. W. Stewart A note on generalized and hypergeneralized projectors . . . . . . 408--411 Jovan Stefanovski Spectral factorization of non-symmetric polynomial matrices . . . . . . . . . . 412--440 Mehmet Koca and Ramazan Koç and Muataz Al-Barwani and Shadia Al-Farsi Maximal subgroups of the Coxeter group $W(H_4)$ and quaternions . . . . . . . . 441--452 Yonina C. Eldar Least-squares orthogonalization using semidefinite programming . . . . . . . . 453--470 Shmuel Onn and Ernesto Vallejo Permutohedra and minimal matrices . . . 471--489 Michael Alwill and Chi-Kwong Li and Christina Maher and Nung-Sing Sze Automorphisms of certain groups and semigroups of matrices . . . . . . . . . 490--525 Takayuki Furuta Two reverse inequalities associated with Tsallis relative operator entropy via generalized Kantorovich constant and their applications . . . . . . . . . . . 526--537 Stephen E. Wright Real matrix homotopies based on Householder reflections . . . . . . . . 538--545 Anonymous Author index . . . . . . . . . . . . . . 549--550
Karla Rost Georg Heinig November 24, 1947--May 10, 2005: A personal memoir and appreciation by Karla Rost . . . . . . . . . . . . . 1--12 Oliver Mason and Robert Shorten On the simultaneous diagonal stability of a pair of positive linear systems . . 13--23 Christopher King and Robert Shorten Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems . . . . . . . . . . . . . . . . 24--35 Andreas Lasarow On rank invariance of generalized Schwarz--Pick--Potapov block matrices of matrix-valued Carathéodory functions . . 36--58 Ji-Ming Guo The effect on the Laplacian spectral radius of a graph by adding or grafting edges . . . . . . . . . . . . . . . . . 59--71 Donald W. Robinson An alternative approach to unitoidness 72--80 V. I. Hasanov and I. G. Ivanov On two perturbation estimates of the extreme solutions to the equations $X \pm A^* X^{-1} A = Q$ . . . . . . . . . 81--92 Jian-Hua Zhang and Fang-Fang Pan and Ai-Li Yang Local derivations on certain CSL algebras . . . . . . . . . . . . . . . . 93--99 Maurice Queyranne and Fabio Tardella Bimonotone linear inequalities and sublattices of $\mathbb{R}^n$ . . . . . 100--120 Weijun Liu and Jinglei Li Finite projective planes admitting a projective linear group $\mathrm{PSL}(2, q)$ . . . . . . . . . . . . . . . . . . 121--130 Ji-Ming Guo and Jia-Yu Shao On the spectral radius of trees with fixed diameter . . . . . . . . . . . . . 131--147 Ji-Ming Guo A note on the $k$th eigenvalue of trees 148--154 Koenraad M. R. Audenaert A norm compression inequality for block partitioned positive semidefinite matrices . . . . . . . . . . . . . . . . 155--176 Miroslav Fiedler Subtotally positive and Monge matrices 177--188 Kazumasa Nomura and Paul Terwilliger Some trace formulae involving the split sequences of a Leonard pair . . . . . . 189--201 Min-Jei Huang and Chao-Ya Huang and Tzong-Mo Tsai Applications of Hilbert's projective metric to a class of positive nonlinear operators . . . . . . . . . . . . . . . 202--211 Jean-Christophe Bourin A concavity inequality for symmetric norms . . . . . . . . . . . . . . . . . 212--217 Micha\l Misiurewicz and John G. Stevens and Diana M. Thomas Iterations of linear maps over finite fields . . . . . . . . . . . . . . . . . 218--234 J. A. Hermida Alonso and M. M. López-Cabeceira Dynamic feedback over principal ideal domains and quotient rings . . . . . . . 235--244
Graciano de Oliveira and João Filipe Queiró and Bryan Shader and Ion Zaballa Preface to the 11th ILAS Conference Proceedings, Coimbra 2004 . . . . . . . 245--246 Shmuel Friedland Convergence of products of matrices in projective spaces . . . . . . . . . . . 247--263 Jerzy K. Baksalary and Oskar Maria Baksalary and Jürgen Groß On some linear combinations of hypergeneralized projectors . . . . . . 264--273 M. I. García-Planas and M. D. Magret and S. Tarragona Relationship between different equivalence relations in the space of standardizable systems . . . . . . . . . 274--284 Miguel V. Carriegos and Héctor Diez-Machío and M. Isabel García-Planas On higher order linear systems: Reachability and feedback invariants . . 285--296 A. Sáez-Schwedt and T. Sánchez-Giralda A characterization of GCU rings with the ${\rm FC}_2$ property . . . . . . . . . 297--302 Albert Compta and Uwe Helmke and Marta Peña and Xavier Puerta Simultaneous versal deformations of endomorphisms and invariant subspaces 303--318 Joan-Josep Climent and Victoria Herranz and Carmen Perea Positive cones and convergence conditions for iterative methods based on splittings . . . . . . . . . . . . . 319--326 Ivo Marek and Ivana Pultarová A note on local and global convergence analysis of iterative aggregation--disaggregation methods . . 327--341 John Bowers and Job Evers and Leslie Hogben and Steve Shaner and Karyn Snider and Amy Wangsness On completion problems for various classes of $P$-matrices . . . . . . . . 342--354 Rajendra Bhatia Interpolating the arithmetic--geometric mean inequality and its operator version 355--363 Peter \vSemrl Maps on matrix spaces . . . . . . . . . 364--393 Mario Ahues and Filomena Dias d'Almeida and Alain Largillier and Paulo B. Vasconcelos Spectral refinement for clustered eigenvalues of quasi-diagonal matrices 394--402 C. Mendes Araújo and Juan R. Torregrosa and Ana M. Urbano Totally nonpositive completions on partial matrices . . . . . . . . . . . . 403--424 Cristina Ferreira and Fernando C. Silva Inertia theorems for pairs of matrices, II . . . . . . . . . . . . . . . . . . . 425--439 Beatrice Meini Nonlinear matrix equations and structured linear algebra . . . . . . . 440--457 Ettore Fornasini and Maria Elena Valcher and Raquel Pinto A polynomial matrix approach to the structural properties of $2$D positive systems . . . . . . . . . . . . . . . . 458--473 Dario A. Bini and Bruno Iannazzo and Guy Latouche and Beatrice Meini On the solution of algebraic Riccati equations arising in fluid queues . . . 474--494 LeRoy B. Beasley and Alexander E. Guterman and Young-Bae Jun and Seok-Zun Song Linear preservers of extremes of rank inequalities over semirings: Row and column ranks . . . . . . . . . . . . . . 495--509 A. Amparan and S. Marcaida and I. Zaballa On the existence of linear systems with prescribed invariants for system similarity . . . . . . . . . . . . . . . 510--533 G. Dirr and U. Helmke and M. Kleinsteuber Lie algebra representations, nilpotent matrices, and the $C$-numerical range 534--566 Siegfried M. Rump Eigenvalues, pseudospectrum and structured perturbations . . . . . . . . 567--593 Rajendra Bhatia and John Holbrook Riemannian geometry and matrix geometric means . . . . . . . . . . . . . . . . . 594--618 Anonymous Author index . . . . . . . . . . . . . . 619--620
Murray R. Bremner and Luiz A. Peresi Ternary analogues of Lie and Malcev algebras . . . . . . . . . . . . . . . . 1--18 Ljiljana Aramba\vsi\'c and Rajna Raji\'c On some norm equalities in pre-Hilbert $C^*$-modules . . . . . . . . . . . . . 19--28 Ivan Gutman and Bo Zhou Laplacian energy of a graph . . . . . . 29--37 Blanka Seman\vcíková Orbits in max--min algebra . . . . . . . 38--63 M. I. Bueno and F. Marcellán Polynomial perturbations of bilinear functionals and Hessenberg matrices . . 64--83 Xiao-Min Tang and Ya-Qin Yang Strong linear preservers of rank reverse permutability on triangular matrices . . 84--96 Hongguo Xu On equivalence of pencils from discrete-time and continuous-time control . . . . . . . . . . . . . . . . 97--124 N. Martins and R. Severino and J. Sousa Ramos Bowen--Franks groups of reducible bimodal subshifts of finite type . . . . 125--137 Yaokun Wu and Aiping Deng Hoffman polynomials of nonnegative irreducible matrices and strongly connected digraphs . . . . . . . . . . . 138--171 J. A. Dias da Silva and Fátima Rodrigues Decomposable critical tensors . . . . . 172--198 Oscar Rojo The spectra of some trees and bounds for the largest eigenvalue of any tree . . . 199--217 Oscar Rojo On the spectra of certain rooted trees 218--243 Jason Bell and Marvin Minei Spectral analysis of the affine graph over the finite ring . . . . . . . . . . 244--265 A. Y. Alfakih A remark on the faces of the cone of Euclidean distance matrices . . . . . . 266--270 B. P. Duggal Polaroid operators satisfying Weyl's theorem . . . . . . . . . . . . . . . . 271--277 Guoxing Ji and Baowei Wu Similarity preserving linear maps on upper triangular matrix algebras . . . . 278--287 P.-A. Absil and A. Edelman and P. Koev On the largest principal angle between random subspaces . . . . . . . . . . . . 288--294 Mohamed Lamei El-Mallah and Hader Elgendy and Abdellatif Rochdi and Ángel Rodríguez Palacios On absolute valued algebras with involution . . . . . . . . . . . . . . . 295--303 Magdalena Wanat The $\alpha$-scalar diagonal stability of block matrices . . . . . . . . . . . 304--309 Miodrag \vZivkovi\'c Classification of small $(0, 1)$ matrices . . . . . . . . . . . . . . . . 310--346 Vladimir Nikiforov Eigenvalues and degree deviation in graphs . . . . . . . . . . . . . . . . . 347--360 Huaqing Sun and Yuming Shi Eigenvalues of second-order difference equations with coupled boundary conditions . . . . . . . . . . . . . . . 361--372 Xingzhi Zhan Completion of a partial integral matrix to a unimodular matrix . . . . . . . . . 373--377 Igor Shparlinski On the energy of some circulant graphs 378--382 Gorazd Le\vsnjak and Nung-Sing Sze On injective Jordan semi-triple maps of matrix algebras . . . . . . . . . . . . 383--388 R. Balasubramanian and S. H. Kulkarni and R. Radha Solution of a tridiagonal operator equation . . . . . . . . . . . . . . . . 389--405 Anonymous Call for Papers: Special Issue on Structured Matrices . . . . . . . . . . 406--406
V. Brankov and P. Hansen and D. Stevanovi\'c Automated conjectures on upper bounds for the largest Laplacian eigenvalue of graphs . . . . . . . . . . . . . . . . . 407--424 Chi-Kwong Li A short proof of interlacing inequalities on normalized Laplacians 425--427 Ming-Huat Lim A note on additive mappings decreasing rank one . . . . . . . . . . . . . . . . 428--434 Raf Vandebril and Marc Van Barel Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Arnoldi(Lanczos)--Ritz values 435--444 E. Alijagic and P. Dewilde Minimal quasi-separable realizations for the inverse of a quasi-separable operator . . . . . . . . . . . . . . . . 445--463 Imre Bárány and Benjamin Doerr Balanced partitions of vector sequences 464--469 Hua Xiang A note on the minimax representation for the subspace distance and singular values . . . . . . . . . . . . . . . . . 470--473 J. A. Dias da Silva and Maria M. Torres A combinatorial approach to the orthogonality on critical orbital sets 474--491 Wei Wang and Cheng-Xian Xu On the spectral characterization of $T$-shape trees . . . . . . . . . . . . 492--501 William C. Waterhouse Real congruences of complex subspaces of $2 \times 2$ symmetric complex matrices 502--505 Saieed Akbari and Alireza Alipour and Ebrahim Ghorbani and Gholamreza B. Khosrovshahi $\{-1, 0, 1\}$-Basis for the null space of a forest . . . . . . . . . . . . . . 506--511 Mei Lu and Huiqing Liu and Feng Tian A new upper bound for the spectral radius of graphs with girth at least 5 512--516 M. Isabel García-Planas and M. Dolors Magret and Vladimir V. Sergeichuk and Nadya A. Zharko Rigid systems of second-order linear differential equations . . . . . . . . . 517--532 Cheng-yi Zhang and Yao-tang Li and Feng Chen On Schur complement of block diagonally dominant matrices . . . . . . . . . . . 533--546 Vakif Dzhafarov and Taner Büyükköro\uglu On the stability of a convex set of matrices . . . . . . . . . . . . . . . . 547--559 Jimmie Lawson and Yongdo Lim Solving symmetric matrix word equations via symmetric space machinery . . . . . 560--569 Jorge Antezana and Gustavo Corach and Demetrio Stojanoff Bilateral shorted operators and parallel sums . . . . . . . . . . . . . . . . . . 570--588 Jens-Peter M. Zemke Hessenberg eigenvalue--eigenmatrix relations . . . . . . . . . . . . . . . 589--606 A. A. Alieva and A. E. Guterman and B. Kuzma Rank-permutable additive mappings . . . 607--616 Saieed Akbari and Narges Ghareghani and Gholamreza B. Khosrovshahi and Hamidreza Maimani The kernels of the incidence matrices of graphs revisited . . . . . . . . . . . . 617--625 P. Caballero-Gil and C. Hernández-Goya Secret sharing based on a hard-on-average problem . . . . . . . . 626--631 Jyh-Horng Chou and Shinn-Horng Chen and Qing-Ling Zhang Robust controllability for linear uncertain descriptor systems . . . . . . 632--651 Maria Bras-Amorós and Pedro A. García-Sánchez Patterns on numerical semigroups . . . . 652--669 Anonymous Author index . . . . . . . . . . . . . . 670--671
Zhaojun Bai and Andrew Knyazev and Henk A. van der Vorst Preface . . . . . . . . . . . . . . . . 1--2 Peter Benner and Daniel Kressner Balancing sparse Hamiltonian eigenproblems . . . . . . . . . . . . . 3--19 Matthew Brand Fast low-rank modifications of the thin singular value decomposition . . . . . . 20--30 Gene H. Golub and Li-Zhi Liao Continuous methods for extreme and interior eigenvalue problems . . . . . . 31--51 Leonard Hoffnung and Ren-Cang Li and Qiang Ye Krylov type subspace methods for matrix polynomials . . . . . . . . . . . . . . 52--81 Andrew V. Knyazev and Merico E. Argentati On proximity of Rayleigh quotients for different vectors and Ritz values generated by different trial subspaces 82--95 Ronald B. Morgan and Min Zeng A harmonic restarted Arnoldi algorithm for calculating eigenvalues and determining multiplicity . . . . . . . . 96--113 Klaus Neymeyr A geometric theory for preconditioned inverse iteration IV: On the fastest convergence cases . . . . . . . . . . . 114--139 E. Ovtchinnikov Cluster robustness of preconditioned gradient subspace iteration eigensolvers 140--166 E. Ovtchinnikov Cluster robust error estimates for the Rayleigh--Ritz approximation I: Estimates for invariant subspaces . . . 167--187 E. Ovtchinnikov Cluster robust error estimates for the Rayleigh--Ritz approximation II: Estimates for eigenvalues . . . . . . . 188--209 Sergey I. Solov'ëv Preconditioned iterative methods for a class of nonlinear eigenvalue problems 210--229
Peter Benner and Roland W. Freund and Danny C. Sorensen and Andras Varga Special issue on ``Order reduction of large-scale systems'' . . . . . . . . . 231--234 Herng-Jer Lee and Chia-Chi Chu and Wu-Shiung Feng An adaptive-order rational Arnoldi method for model-order reductions of linear time-invariant systems . . . . . 235--261 Tatjana Stykel Balanced truncation model reduction for semidiscretized Stokes equation . . . . 262--289 Serkan Gugercin and Athanasios C. Antoulas Model reduction of large-scale systems by least squares . . . . . . . . . . . . 290--321 Thilo Penzl Algorithms for model reduction of large dynamical systems . . . . . . . . . . . 322--343 K. Jbilou and A. J. Riquet Projection methods for large Lyapunov matrix equations . . . . . . . . . . . . 344--358 K. Gallivan and X. Rao and P. Van Dooren Singular Riccati equations stabilizing large-scale systems . . . . . . . . . . 359--372 Y. Chahlaoui and D. Lemonnier and A. Vandendorpe and P. Van Dooren Second-order balanced truncation . . . . 373--384 Behnam Salimbahrami and Boris Lohmann Order reduction of large scale second-order systems using Krylov subspace methods . . . . . . . . . . . . 385--405 Zhaojun Bai and Daniel Skoogh A projection method for model reduction of bilinear dynamical systems . . . . . 406--425 Micha\l Rewie\'nski and Jacob White Model order reduction for nonlinear dynamical systems based on trajectory piecewise-linear approximations . . . . 426--454 Jing-Rebecca Li Low order approximation of the spherical nonreflecting boundary kernel for the wave equation . . . . . . . . . . . . . 455--468 Jan Lienemann and Evgenii B. Rudnyi and Jan G. Korvink MST MEMS model order reduction: Requirements and benchmarks . . . . . . 469--498 Tilmann Wittig and Rolf Schuhmann and Thomas Weiland Model order reduction for large systems in computational electromagnetics . . . 499--530 Kazufumi Ito and Karl Kunisch Reduced order control based on approximate inertial manifolds . . . . . 531--541 F. Leibfritz and S. Volkwein Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming . . . . . . . . 542--575 Anonymous Author index . . . . . . . . . . . . . . 576--577
Abraham Berman and Leonid Lerer and Raphael Loewy Preface to the 2005 Haifa Matrix Theory Conference Proceedings . . . . . . . . . 1--1 R. B. Bapat Determinant of the distance matrix of a tree with matrix weights . . . . . . . . 2--7 Shmuel Friedland and Amir Niknejad and Laura Chihara A simultaneous reconstruction of missing data in DNA microarrays . . . . . . . . 8--28 V. Paul Pauca and J. Piper and Robert J. Plemmons Nonnegative matrix factorization for spectral data analysis . . . . . . . . . 29--47 Michal Aharon and Michael Elad and Alfred M. Bruckstein On the uniqueness of overcomplete dictionaries, and a practical way to retrieve them . . . . . . . . . . . . . 48--67 Felix Goldberg Bounding the gap between extremal Laplacian eigenvalues of graphs . . . . 68--74 Adi Ben-Israel and Yuri Levin The geometry of linear separability in data sets . . . . . . . . . . . . . . . 75--87 Mei Q. Chen and Lixing Han and Michael Neumann On single and double Soules matrices . . 88--110 Yair Censor Computational acceleration of projection algorithms for the linear best approximation problem . . . . . . . . . 111--123 Shaofang Hong Nonsingularity of matrices associated with classes of arithmetical functions on LCM-closed sets . . . . . . . . . . . 124--134 Angelika Bunse-Gerstner and Ignacio Gutiérrez-Cañas A preconditioned GMRES for complex dense linear systems from electromagnetic wave scattering problems . . . . . . . . . . 135--147 Thomas J. Laffey and Helena \vSmigoc Nonnegative realization of spectra having negative real parts . . . . . . . 148--159 André Klein and Peter Spreij The Bezoutian, state space realizations and Fisher's information matrix of an ARMA process . . . . . . . . . . . . . . 160--174 Abraham Berman and Thomas Laffey and Arie Leizarowitz and Robert Shorten On the second eigenvalue of matrices associated with TCP . . . . . . . . . . 175--183 Achiya Dax The distance between two convex sets . . 184--213
Helena My\vsková Control solvability of interval systems of max-separable linear equations . . . 215--223 G. Appa and D. Magos and I. Mourtos On multi-index assignment polytopes . . 224--241 D. Alpay and A. C. M. Ran and L. Rodman Basic classes of matrices with respect to quaternionic indefinite inner product spaces . . . . . . . . . . . . . . . . . 242--269 Lorenzo Finesso and Peter Spreij Nonnegative matrix factorization and $I$-divergence alternating minimization 270--287 Joseph P. S. Kung Minimal blocks of binary even-weight vectors . . . . . . . . . . . . . . . . 288--297 Miroslav Petrovi\'c and Bojana Borovi\'canin and Zoran Radosavljevi\'c The integral $3$-harmonic graphs . . . . 298--312 Gang Wu A dynamic thick restarted semi-refined ABLE algorithm for computing a few selected eigentriplets of large nonsymmetric matrices . . . . . . . . . 313--335 Juan Peng and Xi-Yan Hu and Lei Zhang Two inverse eigenvalue problems for a special kind of matrices . . . . . . . . 336--347 A. Y. Alfakih On the nullspace, the rangespace and the characteristic polynomial of Euclidean distance matrices . . . . . . . . . . . 348--354 J. M. Brunat and C. Krattenthaler and A. Lascoux and A. Montes Some composition determinants . . . . . 355--364 Jacques Bénasséni A variance inequality ensuring that a pre-distance matrix is Euclidean . . . . 365--372 Iwao Sato $L$-functions for line graphs of semiregular bipartite graphs . . . . . . 373--388 Jörg Berns-Müller and Ivan G. Graham and Alastair Spence Inexact inverse iteration for symmetric matrices . . . . . . . . . . . . . . . . 389--413 Dragomir \vZ. \Dbarokovi\'c Structure of isometry group of bilinear spaces . . . . . . . . . . . . . . . . . 414--436 Roman Sznajder and M. Seetharama Gowda The $Q$-property of composite transformations and the $P$-property of Stein-type transformations on self-dual and symmetric cones . . . . . . . . . . 437--451 Yuming Shi Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems . . 452--519 M. J. Cánovas and M. A. López and J. Parra and F. J. Toledo Ill-posedness with respect to the solvability in linear optimization . . . 520--540 Masatoshi Fujii and Eizaburo Kamei Ando--Hiai inequality and Furuta inequality . . . . . . . . . . . . . . . 541--545 Bassam Mourad A note on the boundary of the set where the decreasingly ordered spectra of symmetric doubly stochastic matrices lie 546--558 Jian-Hua Zhang and Bao-Wei Wu and Huai-Xin Cao Lie triple derivations of nest algebras 559--567 Hong You and Shaowu Liu and Guodong Zhang Rank one preserving $R$-linear maps on spaces of self-adjoint operators on complex Hilbert spaces . . . . . . . . . 568--579 Rok Stra\vsek On Euclidean algebra of Hermitian operators on a quaternionic Hilbert space . . . . . . . . . . . . . . . . . 580--587 W. L. Chooi and M. H. Lim Additive rank-one preservers on block triangular matrix spaces . . . . . . . . 588--607 Jiu Ding and Wallace Pye and Lian Zhao Some results on structured $M$-matrices with an application to wireless communications . . . . . . . . . . . . . 608--614 Brian Lins and Roger Nussbaum Iterated linear maps on a cone and Denjoy--Wolff theorems . . . . . . . . . 615--626 Wenbin Guo and Musheng Wei and Mingjie Wang On least squares $g$-inverses and minimum norm $g$-inverses of a bordered matrix . . . . . . . . . . . . . . . . . 627--642 Li-Ping Huang and Yong-Yu Cai Geometry of block triangular matrices over a division ring . . . . . . . . . . 643--676 Prabir Burman Approximate singular values of the fractional difference and summation operators . . . . . . . . . . . . . . . 677--687 Takeaki Yamazaki An extension of Kantorovich inequality to $n$-operators via the geometric mean by Ando--Li--Mathias . . . . . . . . . . 688--695 William F. Trench Asymptotic spectral properties of totally symmetric multilevel Toeplitz matrices . . . . . . . . . . . . . . . . 696--709 Michael McAsey and Libin Mou Generalized Riccati equations arising in stochastic games . . . . . . . . . . . . 710--723 Yunxing Tao More results on singular value inequalities of matrices . . . . . . . . 724--729 Nasir Ganikhodjaev and Hasan Akin and Farrukh Mukhamedov On the ergodic principle for Markov and quadratic stochastic processes and its relations . . . . . . . . . . . . . . . 730--741 Stanley C. Eisenstat A perturbation bound for the eigenvalues of a singular diagonalizable matrix . . 742--744 Desmond J. Higham Greedy pathlengths and small world graphs . . . . . . . . . . . . . . . . . 745--758 Panayiotis J. Psarrakos and Michael J. Tsatsomeros Bounds for Levinger's function of nonnegative almost skew-symmetric matrices . . . . . . . . . . . . . . . . 759--772 Oleg E. Tikhonov A note on definition of matrix convex functions . . . . . . . . . . . . . . . 773--775 Sebastian M. Cioab\ua Eigenvalues of graphs and a simple proof of a theorem of Greenberg . . . . . . . 776--782 Ricardo L. Soto Realizability criterion for the symmetric nonnegative inverse eigenvalue problem . . . . . . . . . . . . . . . . 783--794 Yi Jin and Bahman Kalantari A procedure of Chvátal for testing feasibility in linear programming and matrix scaling . . . . . . . . . . . . . 795--798 R. B. Bapat and A. K. Lal and Sukanta Pati A $q$-analogue of the distance matrix of a tree . . . . . . . . . . . . . . . . . 799--814 William W. Hager and Yong Liu and Tan F. Wong Optimization of generalized mean square error in signal processing and communication . . . . . . . . . . . . . 815--834 Jia-Yu Shao and Yue Liu and Ling-Zhi Ren The inverse problems of the determinantal regions of ray pattern and complex sign pattern matrices . . . . . 835--843 Ricardo L. Soto and Oscar Rojo Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem 844--856 Alberto Borobia and Sebastián Dormido Three coefficients of a polynomial can determine its $\phi$-instability . . . . 857--867 Xiaosong Sun and Xiankun Du and Dayan Liu On the range of a Hadamard power of a positive semidefinite matrix . . . . . . 868--871 J. D. Botha On a unification result by A. R. Sourour concerning commutators and products of involutions . . . . . . . . . . . . . . 872--879 Kazumasa Nomura and Paul Terwilliger The determinant of $A A^\star - A^\star A$ for a Leonard pair $A$, $A^\star$ . . 880--889 Jean-Christophe Bourin Matrix versions of some classical inequalities . . . . . . . . . . . . . . 890--907 Jian-Hua Zhang and Shan Feng and Rui-Hua Wu Local $2$-cocycles of nest subalgebras of factor von Neumann algebras . . . . . 908--916 Nicholas A. Loehr and Anthony Mendes Bijective matrix algebra . . . . . . . . 917--944 Leiba Rodman Similarity vs unitary similarity and perturbation analysis of sign characteristics: Complex and real indefinite inner products . . . . . . . 945--1009 Roger A. Horn and Vladimir V. Sergeichuk Canonical forms for complex matrix congruence and ${}^\star$ congruence . . 1010--1032 Andrey A. Chesnokov and Willem H. Haemers Regularity and the generalized adjacency spectra of graphs . . . . . . . . . . . 1033--1037 S. Akbari and P. Raja Commuting graphs of some subsets in simple rings . . . . . . . . . . . . . . 1038--1047 Francesco Belardo and Enzo Maria Li Marzi and Slobodan K. Simi\'c Some results on the index of unicyclic graphs . . . . . . . . . . . . . . . . . 1048--1059 Chiaki Kojima and Kiyotsugu Takaba and Osamu Kaneko and Paolo Rapisarda A characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms . . 1060--1082 Olga M. Katkova and Anna M. Vishnyakova On sufficient conditions for the total positivity and for the multiple positivity of matrices . . . . . . . . . 1083--1097 Albrecht Böttcher Book Review: \em Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators by Lloyd N. Trefethen and Mark Embree, Princeton University Press, Princeton and Oxford, 2005, xvii + 606 pages, ISBN-10 0-691-11946-5 . . . . . . . . . . . . . 1098--1101 Anonymous Author index . . . . . . . . . . . . . . 1102--1104
T. Ando Unitarily invariant norms related to the numerical radius . . . . . . . . . . . . 3--7 Sunanda Bagchi On the optimality of a class of designs with three concurrences . . . . . . . . 8--30 Oskar Maria Baksalary and Paulina Kik On commutativity of projectors . . . . . 31--41 Sanjay Chaudhuri and Michael D. Perlman Two step-down tests for equality of covariance matrices . . . . . . . . . . 42--63 Carles M. Cuadras and Daniel Cuadras A parametric approach to correspondence analysis . . . . . . . . . . . . . . . . 64--74 Miguel Fonseca and João Tiago Mexia and Roman Zmy\'slony Binary operations on Jordan algebras and orthogonal normal models . . . . . . . . 75--86 Jürgen Groß Remarks on the sharp partial order and the ordering of squares of matrices . . 87--93 Jürgen Groß and Yongge Tian Invariance properties of a triple matrix product involving generalized inverses 94--107 Jeffrey J. Hunter Mixing times with applications to perturbed Markov chains . . . . . . . . 108--123 Tadeusz Inglot and Teresa Ledwina Towards data driven selection of a penalty function for data driven Neyman tests . . . . . . . . . . . . . . . . . 124--133 Rados\law Kala and Pawe\l Pordzik Two local operators and the BLUE . . . . 134--139 André Klein and Peter Spreij An explicit expression for the Fisher information matrix of a multiple time series process . . . . . . . . . . . . . 140--149 I. Malinowska and P. Pawlas and D. Szynal Estimation of location and scale parameters for the Burr XII distribution using generalized order statistics . . . 150--162 R. J. Martin and N. Chauhan and J. A. Eccleston and B. S. P. Chan Efficient experimental designs when most treatments are unreplicated . . . . . . 163--182 Tatjana Nahtman Marginal permutation invariant covariance matrices with applications to linear models . . . . . . . . . . . . . 183--210 Tadeusz Ostrowski Population equilibrium with support in evolutionary matrix games . . . . . . . 211--219 Lídia Rejt\Ho and Gábor Tusnády Reconstruction of Kauffman networks applying trees . . . . . . . . . . . . . 220--244 Burkhard Schaffrin A note on Constrained Total Least-Squares estimation . . . . . . . . 245--258 Haruo Yanai and Yoshio Takane and Hidetoki Ishii Nonnegative determinant of a rectangular matrix: Its definition and applications to multivariate analysis . . . . . . . . 259--274 P. Zaris and J. Wood and H. Pillai and E. Rogers On invariant zeros of linear systems of PDEs . . . . . . . . . . . . . . . . . . 275--297 Ludwig Elsner and Augustyn Markiewicz and Tomasz Szulc Preface to the Proceedings of the 13th International Workshop on Matrices and Statistics, B\kedlewo 2004 . . . . . . . ii--iii
Heike Fassbender and Michael Griebel and Olga Holtz and G. W. (Pete) Stewart and Christoph Zenger Curriculum vitae of Friedrich Ludwig Bauer . . . . . . . . . . . . . . . . . 299--300 Michael Bader and Christoph Zenger Cache oblivious matrix multiplication using an element ordering based on a Peano curve . . . . . . . . . . . . . . 301--313 Rainer Fischer and Thomas Huckle Multigrid methods for anisotropic BTTB systems . . . . . . . . . . . . . . . . 314--334 W. Kahan Is there a small skew Cayley transform with zero diagonal? . . . . . . . . . . 335--341 B. N. Parlett and E. Barszcz Another orthogonal matrix . . . . . . . 342--346 Thomas I. Seidman and Hans Schneider The spectral radius in partially ordered algebras . . . . . . . . . . . . . . . . 347--369 Laura smithies and Richard S. Varga Singular value decomposition Ger\vsgorin sets . . . . . . . . . . . . . . . . . . 370--380 Jesse L. Barlow and Beresford N. Parlett and Kresimir Veseli\'c Preface . . . . . . . . . . . . . . . . 381--381 James Demmel and Plamen Koev Accurate SVDs of polynomial Vandermonde matrices involving orthonormal polynomials . . . . . . . . . . . . . . 382--396 Luka Grubi\vsi\'c and Kre\vsimir Veseli\'c On Ritz approximations for positive definite operators I (theory) . . . . . 397--422 Daniel Kressner The periodic QR algorithm is a disguised QR algorithm . . . . . . . . . . . . . . 423--433 J. Mateja\vs and V. Hari Quadratic convergence estimate of scaled iterates by $J$-symmetric Jacobi method 434--465 Ninoslav Truhar and Ivan Slapni\vcar Relative residual bounds for indefinite Hermitian matrices . . . . . . . . . . . 466--477 Hongyuan Zha and Zhenyue Zhang and Wenlong Ying A quadratically convergent QR-like method without shifts for the Hermitian eigenvalue problem . . . . . . . . . . . 478--495 Anonymous Curriculum vitae of Friedrich Ludwig Bauer . . . . . . . . . . . . . . . . . ii--iii
Peter G. Casazza and Gitta Kutyniok and Darrin Speegle A redundant version of the Rado--Horn Theorem . . . . . . . . . . . . . . . . 1--10 J. J. Koliha and V. Rako\vcevi\'c The nullity and rank of linear combinations of idempotent matrices . . 11--14 Genrich Belitskii and Maxim Bershadsky and Vladimir V. Sergeichuk Canonical form of $m$-by-2-by-2 matrices over a field of characteristic other than two . . . . . . . . . . . . . . . . 15--19 Shuhuang Xiang and Shenglei Zhang A convergence analysis of block accelerated over-relaxation iterative methods for weak block $H$-matrices to partition $\pi$ . . . . . . . . . . . . 20--32 Giovanni Resta and Giovanni Sburlati Computing permanents via determinants for some classes of sparse matrices . . 33--43 Amir Daneshgar and Hossein Hajiabolhassan Graph homomorphisms and nodal domains 44--52 Dragana S. Cvetkovi\'c-Ili\'c and Dragan S. Djordjevi\'c and Yimin Wei Additive results for the generalized Drazin inverse in a Banach algebra . . . 53--61 Wei Wang and Cheng-Xian Xu An excluding algorithm for testing whether a family of graphs are determined by their generalized spectra 62--74 Lajos Molnár and Werner Timmermann Transformations on the sets of states and density operators . . . . . . . . . 75--84 Cristina Draper and Cándido Martín Gradings on $\mathfrak{g}_2$ . . . . . . 85--111 Yuan Li and Xiu-Hong Sun and Hong-Ke Du The intersection of left (right) spectra of $2 \times 2$ upper triangular operator matrices . . . . . . . . . . . 112--121 Sapna Jain and Ki-Bong Nam Lower bounds for codes correcting moderate-density bursts of fixed length with Lee weight consideration . . . . . 122--129 Sapna Jain Bursts in $m$-metric array codes . . . . 130--141 Dongxiu Xie and Xiyan Hu and Yan-ping Sheng The solvability conditions for the inverse eigenproblems of symmetric and generalized centro-symmetric matrices and their approximations . . . . . . . . 142--152 Toma\vz Kosem Inequalities between $||f(A + B)||$ and $||f(A) + f(B)||$ . . . . . . . . . . . 153--160 S. Akbari and A. Mohammadian and H. Radjavi and P. Raja On the diameters of commuting graphs . . 161--176 M. Purificação Coelho and M. Antónia Duffner Immanant preserving and immanant converting maps . . . . . . . . . . . . 177--187 D. Kurowicka and R. M. Cooke Completion problem with partial correlation vines . . . . . . . . . . . 188--200 Berkant Savas Dimensionality reduction and volume minimization---generalization of the determinant minimization criterion for reduced rank regression problems . . . . 201--214 Jos M. F. ten Berge and Alwin Stegeman Symmetry transformations for square sliced three-way arrays, with applications to their typical rank . . . 215--224 Jian-Hua Zhang and Shan Feng and Hong-Xia Li and Rui-Hua Wu Generalized biderivations of nest algebras . . . . . . . . . . . . . . . . 225--233 Jin Ho Kwak and Iwao Sato Zeta functions of line, middle, total graphs of a graph and their coverings 234--256 Vladimir Nikiforov Walks and the spectral radius of graphs 257--268 Hiroyuki Ishibashi Length problems for automorphisms of modules over local rings . . . . . . . . 269--276 B. Kuzma and M. Orel Additive mappings on symmetric matrices 277--291 Martine C. B. Reurings Contractive maps on normed linear spaces and their applications to nonlinear matrix equations . . . . . . . . . . . . 292--311 Alberto Elduque A Lie grading which is not a semigroup grading . . . . . . . . . . . . . . . . 312--314 Wim Michiels and Kirk Green and Thomas Wagenknecht and Silviu-Iulian Niculescu Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems . . . 315--335 Yung-Yih Lur A max version of the generalized spectral radius theorem . . . . . . . . 336--346 Marko Huhtanen Real linear Kronecker product operations 347--361 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
J. A. Vargas Matrices of linear forms and curves . . 363--379 Atoshi Chowdhury and Leslie Hogben and Jude Melancon and Rana Mikkelson Rational realization of maximum eigenvalue multiplicity of symmetric tree sign patterns . . . . . . . . . . . 380--393 Luz Maria DeAlba and Timothy L. Hardy and Irvin Roy Hentzel and Leslie Hogben and Amy Wangsness Minimum rank and maximum eigenvalue multiplicity of symmetric tree sign patterns . . . . . . . . . . . . . . . . 394--415 Juan-Miguel Gracia and Francisco E. Velasco Stability of controlled invariant subspaces . . . . . . . . . . . . . . . 416--434 Ivan Oseledets and Eugene Tyrtyshnikov A unifying approach to the construction of circulant preconditioners . . . . . . 435--449 Wenshui Lin and Xiaofeng Guo Ordering trees by their largest eigenvalues . . . . . . . . . . . . . . 450--456 Yaoping Hou and Chingwah Woo and Pingge Chen On the sandpile group of the square cycle $C_n^2$ . . . . . . . . . . . . . 457--467 C. R. Saranya and K. C. Sivakumar Generalized inverses of an invertible infinite matrix over a finite field . . 468--479 Anders Skovsted Buch Eigenvalues of Hermitian matrices with positive sum of bounded rank . . . . . . 480--488 D. J. Hartfiel Embedded population systems in Markov set-chains . . . . . . . . . . . . . . . 489--497 J. Hrivnák and P. Novotný and J. Patera and J. Tolar Graded contractions of the Pauli graded $\mathrm{sl}(3,\mathbb{C})$ . . . . . . 498--550 A. Matkovi\'c and J. Pe\vcari\'c and I. Peri\'c A variant of Jensen's inequality of Mercer's type for operators with applications . . . . . . . . . . . . . . 551--564 Rodolfo Salvi and Norma Zagaglia Salvi On very sparse circulant $(0, 1)$ matrices . . . . . . . . . . . . . . . . 565--575 Cornelis van der Mee and Giuseppe Rodriguez and Sebastiano Seatzu Fast superoptimal preconditioning of multiindex Toeplitz matrices . . . . . . 576--590 Yaokun Wu Even poset and a parity result for binary linear code . . . . . . . . . . . 591--594 A. Aizpuru and C. Pérez-Eslava and J. B. Seoane-Sepúlveda Linear structure of sets of divergent sequences and series . . . . . . . . . . 595--598 Bamdad R. Yahaghi On $F$-algebras of algebraic matrices over a subfield $F$ of the center of a division ring . . . . . . . . . . . . . 599--613 Qingjie Yang Conjugacy classes in integral symplectic groups . . . . . . . . . . . . . . . . . 614--624 Aimei Yu and Xuezheng Lv Minimum energy on trees with $k$ pendent vertices . . . . . . . . . . . . . . . . 625--633 Frieder Knüppel and Klaus Nielsen The extended covering number of $\mathrm{SL}_n$ is $n + 1$ . . . . . . . 634--656 J. M. Ancochea Bermúdez and R. Campoamor-Stursberg and L. García Vergnolle Les alg\`ebres de Lie résolubles rigides réelles ne sont pas nécessairement compl\`etement résolubles. (French) [Resolvable real rigid Lie algebras are not necessarily complete resolvable] . . 657--664 S. Kirkland Conditioning of the entries in the stationary vector of a Google-type matrix . . . . . . . . . . . . . . . . . 665--681 Ernesto Salinelli and Carlo Sgarra Correlation matrices of yields and total positivity . . . . . . . . . . . . . . . 682--692 Arpita Ghosh and Stephen Boyd Upper bounds on algebraic connectivity via convex optimization . . . . . . . . 693--707 Barbara McGillivray A probabilistic algorithm for the secant defect of Grassmann varieties . . . . . 708--718 Wojciech Tadej Permutation equivalence classes of Kronecker products of unitary Fourier matrices . . . . . . . . . . . . . . . . 719--736 Gérard Letac and Hél\`ene Massam Extremal rays and duals for cones of positive definite matrices with prescribed zeros . . . . . . . . . . . . 737--750 Genrich R. Belitskii and Vladimir V. Sergeichuk Congruence of multilinear forms . . . . 751--762 Dengyin Wang and Qiu Yu Derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring . . . . . . . . . . . . 763--774 Kazumasa Nomura and Paul Terwilliger Matrix units associated with the split basis of a Leonard pair . . . . . . . . 775--787 Ramesh V. Garimella and Volodymyr Hrynkiv and A. R. Sourour A solution of an operator equation related to the KdV equation . . . . . . 788--792 Bernard Hanzon and Martine Olivi and Ralf L. M. Peeters Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm . . . . . . . 793--820 Shigeru Furuichi Trace inequalities in nonextensive statistical mechanics . . . . . . . . . 821--827 Man-Duen Choi and David W. Kribs and Karol \.Zyczkowski Higher-rank numerical ranges and compression problems . . . . . . . . . . 828--839 Oscar Rojo and Luis Medina Tight bounds on the algebraic connectivity of Bethe trees . . . . . . 840--853 Ho Jeon and Hyoun Kim On operators satisfying $T^* |T^2| T \geq T^* |T|^2 T$ . . . . . . . . . . . 854--862 Bolian Liu and Lihua You Bounds on the base of primitive nearly reducible sign pattern matrices . . . . 863--881 Jinadasa Gamage and Malwane M. A. Ananda An exact test for testing the equality of parameter matrices in two multivariate linear models . . . . . . . 882--885 Alberto Borobia Constructing matrices with prescribed main-diagonal submatrix and characteristic polynomial . . . . . . . 886--890 Guoxing Wu Optimal bounds for the spectral variation of two regular matrix pairs 891--899 Chi-Kwong Li and Sebastian J. Schreiber On dispersal and population growth for multistate matrix models . . . . . . . . 900--912 João F. Alves and J. L. Fachada and J. Sousa Ramos Dynamical zeta functions and kneading determinants: A linear algebra point of view . . . . . . . . . . . . . . . . . . 913--924 A. C. Vieira and S. M. Alves Jorge On minimal varieties of quadratic growth 925--938 An-ping Liao and Yuan Lei and Shi-fang Yuan The matrix nearness problem for symmetric matrices associated with the matrix equation $[ A^T X A, B^T X B ] = [ C, D ]$ . . . . . . . . . . . . . . . 939--954 Miroslav T\ocircuma Review of \em Matrix Preconditioning Techniques and Applications by Ke Chen. Cambridge University Press, 2005, xxiv + 568 pages, ISBN-13 978-0-521-83828-3, ISBN-10 0-521-83828-2 . . . . . . . . . 955--957 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Abraham Berman and Uriel G. Rothblum A note on the computation of the CP-rank 1--7 Hua Xiang and Yimin Wei and Huaian Diao Perturbation analysis of generalized saddle point systems . . . . . . . . . . 8--23 Froilán M. Dopico and Charles R. Johnson and Juan M. Molera Multiple LU factorizations of a singular matrix . . . . . . . . . . . . . . . . . 24--36 James V. Burke and Anne Greenbaum Characterizations of the polynomial numerical hull of degree $k$ . . . . . . 37--47 Kazuyoshi Okubo On weakly unitarily invariant norm and the $\lambda$-Aluthge transformation for invertible operator . . . . . . . . . . 48--52 Michael Stewart Perturbation of the SVD in the presence of small singular values . . . . . . . . 53--77 Wei Wang and Cheng-Xian Xu Note the $T$-shape tree is determined by its Laplacian spectrum . . . . . . . . . 78--81 Raed S. Batahan A new extension of Hermite matrix polynomials and its applications . . . . 82--92 Eugene G. Gath and Kevin Hayes Bounds for the largest Mahalanobis distance . . . . . . . . . . . . . . . . 93--106 Kent Griffin and Michael J. Tsatsomeros Principal minors, Part I: A method for computing all the principal minors of a matrix . . . . . . . . . . . . . . . . . 107--124 Kent Griffin and Michael J. Tsatsomeros Principal minors, Part II: The principal minor assignment problem . . . . . . . . 125--171 Qianglian Huang and Jipu Ma On the semi-continuity of generalized inverses in Banach algebras . . . . . . 172--179 Stefano Serra-Capizzano The GLT class as a generalized Fourier analysis and applications . . . . . . . 180--233 M. A. Fiol and J. Gimbert and M. Miller Multipartite Moore digraphs . . . . . . 234--250 Jian-Hua Zhang and Wei-Yan Yu Jordan derivations of triangular algebras . . . . . . . . . . . . . . . . 251--255 Sever S. Dragomir Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces . . . . . . . . . . . . . 256--264 Mickaël Robbé and Miloud Sadkane Exact and inexact breakdowns in the block GMRES method . . . . . . . . . . . 265--285 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Carlos de la Mora and Piotr J. Wojciechowski Multiplicative bases in matrix algebras 287--298 Octavian Pastravanu and Mihail Voicu Generalized matrix diagonal stability and linear dynamical systems . . . . . . 299--310 Li-Ping Huang and Tao Ban and De-Qiong Li and Kang Zhao Jordan isomorphisms and additive rank preserving maps on symmetric matrices over PID . . . . . . . . . . . . . . . . 311--325 Agnieszka Chlebowicz Certain finite groups as automorphism groups of forms of higher degree . . . . 326--330 Sergey Belyi and Seppo Hassi and Henk de Snoo and Eduard Tsekanovski\u\i A general realization theorem for matrix-valued Herglotz--Nevanlinna functions . . . . . . . . . . . . . . . 331--358 O. L. Mangasarian and R. R. Meyer Absolute value equations . . . . . . . . 359--367 Yung-Yih Lur A note on a gap result for norms of semigroups of matrices . . . . . . . . . 368--372 Deepti Kalra Complex equiangular cyclic frames and erasures . . . . . . . . . . . . . . . . 373--399 Christopher King and Michael Nathanson On the existence of a common quadratic Lyapunov function for a rank one difference . . . . . . . . . . . . . . . 400--416 A. H. Bilge and \cS. Koçak and S. U\=guz Canonical bases for real representations of Clifford algebras . . . . . . . . . . 417--439 Mao-Ting Chien and Hiroshi Nakazato The $q$-numerical range of a reducible matrix via a normal operator . . . . . . 440--465 Xing Tao Wang and Hong You Decomposition of Lie automorphisms of upper triangular matrix algebra over commutative rings . . . . . . . . . . . 466--474 Jia-yu Shao and Li Zhang and Xi-ying Yuan On the second Laplacian eigenvalues of trees of odd order . . . . . . . . . . . 475--485 Steve Butler Using discrepancy to control singular values for nonnegative matrices . . . . 486--493 Yona Cherniavsky and Eli Bagno Permutation representations on invertible matrices . . . . . . . . . . 494--518 Jason J. Molitierno On the algebraic connectivity of graphs as a function of genus . . . . . . . . . 519--531 Arlene A. Pascasio and Paul Terwilliger The pseudo-cosine sequences of a distance-regular graph . . . . . . . . . 532--555 S. V. Savchenko Normal matrices and their principal submatrices of co-order one . . . . . . 556--568 Naum Krupnik and Ilya M. Spitkovsky Sets of matrices with given joint numerical range . . . . . . . . . . . . 569--585 Lajos Molnár Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras . . . . 586--600 Li Fang and Guoxing Ji Linear maps preserving products of positive or Hermitian matrices . . . . . 601--611 Xiao-Qin Liu and Ting-Zhu Huang and Ying-Ding Fu A note on improvement on bounds for nonmaximal eigenvalues of symmetric positive matrices . . . . . . . . . . . 612--617 Ji-Ming Guo On the Laplacian spectral radius of trees with fixed diameter . . . . . . . 618--629 Yik-Hoi Au-Yeung and Che-Man Cheng On the pure imaginary quaternionic solutions of the Hurwitz matrix equations . . . . . . . . . . . . . . . 630--642 Rajesh Pereira and Mohammad Ali Vali Inequalities for the spectra of symmetric doubly stochastic matrices . . 643--647 Lihua Feng and Guihai Yu and Qiao Li Minimizing the Laplacian eigenvalues for trees with given domination number . . . 648--655 Albrecht Böttcher and Harold Widom Szeg\Ho via Jacobi . . . . . . . . . . . 656--667 Hien Thu Le and Judith Joanne McDonald Inverses of $M$-type matrices created with irreducible eventually nonnegative matrices . . . . . . . . . . . . . . . . 668--674 D. Alpay and A. Dijksma and H. Langer $J_\ell$-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting . . . . . . . . 675--709 Vrej Zarikian Alternating-projection algorithms for operator-theoretic calculations . . . . 710--734 Vladimir Nikiforov Eigenvalues and extremal degrees of graphs . . . . . . . . . . . . . . . . . 735--738 Rubén A. Martínez-Avendaño Eigenmatrices and operators commuting with finite-rank operators . . . . . . . 739--749 Roman Hilscher and Vera Zeidan Coupled intervals for discrete symplectic systems . . . . . . . . . . . 750--764 Yimin Wei and Xiezhang Li and Fanbin Bu and Fuzhen Zhang Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices --- Application of perturbation theory for simple invariant subspaces . . . . . . . . . . . . . . . 765--771 Froilán M. Dopico and Charles R. Johnson Complementary bases in symplectic matrices and a proof that their determinant is one . . . . . . . . . . . 772--778 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Jerzy K. Baksalary and Oskar Maria Baksalary and Paulina Kik Generalizations of a property of orthogonal projectors . . . . . . . . . 1--8 Ping Liu and Yu-wen Wang The best generalized inverse of the linear operator in normed linear space 9--19 Janko Bra\vci\vc Reflexivity of the commutant and local commutants of an algebraic operator . . 20--28 James E. Jamison Bicircular projections on some Banach spaces . . . . . . . . . . . . . . . . . 29--33 Damjana Kokol Bukov\vsek Matrix semigroup homomorphisms into higher dimensions . . . . . . . . . . . 34--50 Kazumasa Nomura and Paul Terwilliger Balanced Leonard pairs . . . . . . . . . 51--69 Vitor O. Ferreira and Lucia S. I. Murakami Finitely generated invariants of Hopf algebras on free associative algebras 70--78 V. E. S. Szabó A class of matrix monotone functions . . 79--85 Yuli Eidelman and Israel Gohberg and Luca Gemignani On the fast reduction of a quasiseparable matrix to Hessenberg and tridiagonal forms . . . . . . . . . . . 86--101 Frank Hansen and Jun Tomiyama Differential analysis of matrix convex functions . . . . . . . . . . . . . . . 102--116 J. A. Dias da Silva and Hemar Godinho Generalized derivations and additive theory II . . . . . . . . . . . . . . . 117--123 Kinkar Ch. Das and Jin Ho Kwak Characterization of graphs having extremal Randi\'c indices . . . . . . . 124--134 Sapna Jain Campopiano-type bounds in non-Hamming array coding . . . . . . . . . . . . . . 135--159 Leslie Hogben The copositive completion problem: Unspecified diagonal entries . . . . . . 160--162 Marek Niezgoda An extension of a result of Hwang and Pyo . . . . . . . . . . . . . . . . . . 163--174 Xiaohong Cao Topological uniform descent and Weyl type theorem . . . . . . . . . . . . . . 175--182 Oliver Mason and Robert Shorten and Selim Solmaz On the Kalman--Yacubovich--Popov lemma and common Lyapunov solutions for matrices with regular inertia . . . . . 183--197 Kazumasa Nomura and Paul Terwilliger Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair . . . . . . 198--207 Chang-Pao Chen and Kuo-Zhong Wang Lower bounds of Copson type for Hausdorff matrices . . . . . . . . . . . 208--217 Jun Ji and Bo Yang Eigenvalue comparisons for a class of boundary value problems of second order difference equations . . . . . . . . . . 218--227 Song-Chol Han and Hong-Xing Li Maximum order-index of matrices over commutative inclines: an answer to an open problem . . . . . . . . . . . . . . 228--234 Hou-Biao Li and Ting-Zhu Huang and Shu-Qian Shen and Hong Li Lower bounds for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse . . . . . . . . . . . . . . 235--247 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Markus Hegland and Jochen Garcke and Vivien Challis The combination technique and some generalisations . . . . . . . . . . . . 249--275 P. Maponi The solution of linear systems by using the Sherman--Morrison formula . . . . . 276--294 Yoo Young Koo and Jae Kun Lim Perturbation of frame sequences and its applications to shift-invariant spaces 295--309 Oscar Rojo and María Robbiano On the spectra of some weighted rooted trees and applications . . . . . . . . . 310--328 Fernando C. Silva and Rita Simões On the Lyapunov and Stein equations . . 329--338 Adam Nyman and Christopher J. Pappacena Two-sided vector spaces . . . . . . . . 339--360 G. Cassier and E. H. Zerouali Operator matrices in class $C_P$ . . . . 361--376 Bruno de Malafosse and Vladimir Rakocevi\'c Matrix transformation and statistical convergence . . . . . . . . . . . . . . 377--387 Bao Qi Feng and Andrew Tonge Equivalence constants for certain matrix norms II . . . . . . . . . . . . . . . . 388--399 Mei Lu and Lian-zhu Zhang and Feng Tian Lower bounds of the Laplacian spectrum of graphs based on diameter . . . . . . 400--406 Takahiko Nakazi and Takanori Yamamoto Finite dimensional semisimple $Q$-algebras . . . . . . . . . . . . . . 407--423 Wai Cheung Ip and Heung Wong and Jin Shan Liu Inverse Wishart distributions based on singular elliptically contoured distribution . . . . . . . . . . . . . . 424--432 Shuhei Wada On some refinement of the Cauchy--Schwarz inequality . . . . . . . 433--440 Hernán Abeledo and Gary W. Atkinson Unimodularity of the Clar number problem 441--448 Huiqing Liu and Mei Lu and Feng Tian On the spectral radius of unicyclic graphs with fixed diameter . . . . . . . 449--457 Chen Dubi and Harry Dym Riccati inequalities and reproducing kernel Hilbert spaces . . . . . . . . . 458--482 N. Ghareghani and G. R. Omidi and B. Tayfeh-Rezaie Spectral characterization of graphs with index at most $\sqrt{2 + \sqrt{5}}$ . . 483--489 Oscar Rojo The spectra of a graph obtained from copies of a generalized Bethe tree . . . 490--507 Amy M. Fu and Alain Lascoux A question of Muir and Littlewood's products . . . . . . . . . . . . . . . . 508--516 P. J. Maher Some norm inequalities concerning generalized inverses, 2 . . . . . . . . 517--525 Lingsheng Shi and Zhipeng Song Upper bounds on the spectral radius of book-free and/or $K_{2, l}$-free graphs 526--529 Lotfi Farhane and Gérard Michon Dimension group of a non-negative integer irreducible matrix . . . . . . . 530--539 Alwin Stegeman and Nicholas D. Sidiropoulos On Kruskal's uniqueness condition for the Candecomp/Parafac decomposition . . 540--552 Petros Drineas and Michael W. Mahoney A randomized algorithm for a tensor-based generalization of the singular value decomposition . . . . . . 553--571 Leila Lebtahi and Néstor Thome A note on $k$-generalized projections 572--575 Yu Qiu Sheng and Bao Dong Zheng and Xian Zhang Maps on spaces of symmetric matrices preserving idempotence . . . . . . . . . 576--585 Hiroshi Kurata and Tadashi Sakuma A group majorization ordering for Euclidean distance matrices . . . . . . 586--595 Maja Fosner and Dijana Ilisevi\'c and Chi-Kwong Li $G$-invariant norms and bicircular projections . . . . . . . . . . . . . . 596--608 Thomas J. Laffey and Helena Smigoc Common solution to the Lyapunov equation for $2 \times 2$ complex matrices . . . 609--624 Oscar Rojo A nontrivial upper bound on the largest Laplacian eigenvalue of weighted graphs 625--633 Tom Bella and Yuli Eidelman and Israel Gohberg and Israel Koltracht and Vadim Olshevsky A Björck--Pereyra-type algorithm for Szeg\Ho--Vandermonde matrices based on properties of unitary Hessenberg matrices . . . . . . . . . . . . . . . . 634--647 Byeong Moon Kim and Byung Chul Song and Woonjae Hwang Primitive graphs with given exponents and minimum number of edges . . . . . . 648--662 Benjamin Doerr $L_p$ linear discrepancy of totally unimodular matrices . . . . . . . . . . 663--666 Vladimir Nikiforov Bounds on graph eigenvalues I . . . . . 667--671 Thomas J. Laffey and Helena Smigoc Tensor conditions for the existence of a common solution to the Lyapunov equation 672--685 Takashi Yoshino A modified Heinz's inequality . . . . . 686--699 Zoran Stani\'c On graphs whose second largest eigenvalue equals $1$ --- the star complement technique . . . . . . . . . . 700--710 Geir Dahl and Jon Magne Leinaas and Jan Myrheim and Eirik Ovrum A tensor product matrix approximation problem in quantum physics . . . . . . . 711--725 Qingjie Yang Erratum to: ``Conjugacy classes in integral symplectic groups'' [Linear Algebra Appl. 418 (2006) 614--624] . . . 726--726 Richard A. Brualdi From the Editor-in-Chief . . . . . . . . 727--730 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Rajendra Bhatia and Robert Guralnick and Steve Kirkland and Henry Wolkowicz Preface to the 12th ILAS Conference Proceedings, Regina 2005 . . . . . . . . 1--2 S. Akbari and S. J. Kirkland On unimodular graphs . . . . . . . . . . 3--15 Jerzy K. Baksalary and Oskar Maria Baksalary Particular formulae for the Moore--Penrose inverse of a columnwise partitioned matrix . . . . . . . . . . . 16--23 B. D. Bingham and D. D. Olesky and P. van den Driessche Potentially nilpotent and spectrally arbitrary even cycle sign patterns . . . 24--44 Albert Compta and Marta Peña Structural stability of $(C, A)$-marked subspaces . . . . . . . . . . . . . . . 45--52 V. Cortes and J. M. Peña Sign regular matrices and Neville elimination . . . . . . . . . . . . . . 53--62 Dragomir \vZ. \Dbarokovi\'c and Charles R. Johnson Unitarily achievable zero patterns and traces of words in $A$ and $A$ . . . . . 63--68 Kenneth R. Driessel and Alf Gerisch Zero-preserving iso-spectral flows based on parallel sums . . . . . . . . . . . . 69--84 G. M. L. Gladwell and Oscar Rojo Isospectral flows that preserve matrix structure . . . . . . . . . . . . . . . 85--96 Thomas J. Laffey and Helena \vSmigoc Construction of nonnegative symmetric matrices with given spectrum . . . . . . 97--109 Christian Mehl and André C. M. Ran and Leiba Rodman Extension to maximal semidefinite invariant subspaces for hyponormal matrices in indefinite inner products 110--116 Rajesh Pereira Weak log-majorization, Mahler measure and polynomial inequalities . . . . . . 117--121 Ivana Pultarová Local convergence analysis of iterative aggregation--disaggregation methods with polynomial correction . . . . . . . . . 122--137 Jorge Rebaza Smooth Schur factorizations in the continuation of separatrices . . . . . . 138--156 P. Rowlinson Co-cliques and star complements in extremal strongly regular graphs . . . . 157--162 Yanxia Zhang and Li Qiu On the angular metrics between linear subspaces . . . . . . . . . . . . . . . 163--170 Anonymous Preface to the 12th ILAS Conference Proceedings, Regina 2005 . . . . . . . . ii--iii
Peter Butkovi\vc and Leslie Hogben and Reinhard Nabben and Zdenek \vStrako\vs and Miroslav T\ocircuma A brief biography and appreciation of Miroslav Fiedler with a bibliography of his books and papers . . . . . . . . . . 173--181 Serge\u\i Sergeev Max-plus definite matrix closures and their eigenspaces . . . . . . . . . . . 182--201 Hwa-Long Gau and Pei Yuan Wu Numerical ranges of companion matrices 202--218 Richard A. Brualdi and Louis Deaett More on the Bruhat order for $(0, 1)$-matrices . . . . . . . . . . . . . . 219--232 Yi-Zheng Fan and Shi-Cai Gong and Yi Wang and Yu-Bin Gao On trees with exactly one characteristic element . . . . . . . . . . . . . . . . 233--242 Iveta Hn\vetynková and Zden\vek Strako\vs Lanczos tridiagonalization and core problems . . . . . . . . . . . . . . . . 243--251 Francesco Barioli and Shaun Fallat On the minimum rank of the join of graphs and decomposable graphs . . . . . 252--263 In-Jae Kim and D. D. Olesky and P. van den Driessche Inertially arbitrary sign patterns with no nilpotent realization . . . . . . . . 264--283 Daniel A. Spielman and Shang-Hua Teng Spectral partitioning works: Planar graphs and finite element meshes . . . . 284--305 Bruno de Malafosse and Vladimir Rako\vcevi\'c A generalization of a Hardy theorem . . 306--314 Mei Q. Chen and Michael Neumann and Naomi Shaked-Monderer Double Soules pairs and matching Soules bases . . . . . . . . . . . . . . . . . 315--327 Charles R. Johnson and Ronald L. Smith Positive, path product, and inverse $M$-matrices . . . . . . . . . . . . . . 328--337 K.-H. Förster and B. Nagy and M. Szilvási A uniform type inverse spectrum theorem for entrywise nonnegative matrices . . . 338--344 Bruce Hendrickson Latent semantic analysis and Fiedler retrieval . . . . . . . . . . . . . . . 345--355 Stéphane Gaubert and Ricardo D. Katz The Minkowski theorem for max-plus convex sets . . . . . . . . . . . . . . 356--369 P. Butkovi\vc and R. A. Cuninghame-Green On matrix powers in max-algebra . . . . 370--381 Jan Brandts and Sergey Korotov and Michal K\vrí\vzek Dissection of the path-simplex in $\mathbb{R}^n$ into $n$ path-subsimplices . . . . . . . . . . . 382--393 Peter Butkovi\vc and Hans Schneider and Serge\u\i Sergeev Generators, extremals and bases of max cones . . . . . . . . . . . . . . . . . 394--406 Tibor Boros and Pál Rózsa An explicit formula for singular values of the Sylvester--Kac matrix . . . . . . 407--416 Reinhard Nabben On relationships between several classes of $Z$-matrices, $M$-matrices and nonnegative matrices . . . . . . . . . . 417--439 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii Anonymous Photo of Miroslav Fiedler . . . . . . . xii--xii
Rosário Fernandes On the maximum multiplicity of an eigenvalue in a matrix whose graph contains exactly one cycle . . . . . . . 1--16 Alexander V. Karzanov On $0, \pm 1$ matrices, odd vectors, and bisubmodular polyhedra . . . . . . . . . 17--21 Jinn-Wen Wu and Kuang-Yow Lian and Peter Lancaster A stabilization criterion for matrices 22--28 H. Faßbender and Kh. D. Ikramov Some observations on the Youla form and conjugate-normal matrices . . . . . . . 29--38 Raimundas Vid\=unas Normalized Leonard pairs and Askey--Wilson relations . . . . . . . . 39--57 Lingsheng Shi The spectral radii of a graph and its line graph . . . . . . . . . . . . . . . 58--66 Benton L. Duncan Derivations for a class of matrix function algebras . . . . . . . . . . . 67--76 K. V. Fernando Computation of exact inertia and inclusions of eigenvalues (singular values) of tridiagonal (bidiagonal) matrices . . . . . . . . . . . . . . . . 77--99 Brian A. Hagler Ordered OLPS and CF $N$th numerators . . 100--118 Shu-Guang Guo On the spectral radius of bicyclic graphs with $n$ vertices and diameter $d$ . . . . . . . . . . . . . . . . . . 119--132 Lihua Feng and Guihai Yu and Xiao-Dong Zhang Spectral radius of graphs with given matching number . . . . . . . . . . . . 133--138 Weiping Wang and Tianming Wang Matrices related to the Bell polynomials 139--154 Carlos Benítez and Manuel Fernández and María L. Soriano Orthogonality of matrices . . . . . . . 155--163 Ivo Kleme\vs Alexandrov's inequality and conjectures on some Toeplitz matrices . . . . . . . 164--185 Bolian Liu and Lihua You and Gexin Yu On extremal matrices of second largest exponent by Boolean rank . . . . . . . . 186--197 Mao-Ting Chien and Hiroshi Nakazato The $q$-numerical radius of weighted shift operators with periodic weights 198--218 Brian Hartwig The tetrahedron algebra and its finite-dimensional irreducible modules 219--235 Thomas Quint A new rating system for duplicate bridge 236--249 Cheng-yi Zhang and Chengxian Xu and Yao-tang Li The eigenvalue distribution on Schur complements of $H$-matrices . . . . . . 250--264 Yongfeng Pang and Guoxing Ji Algebraic isomorphisms and strongly double triangle subspace lattices . . . 265--273 Airat M. Bikchentaev and Oleg E. Tikhonov Characterization of the trace by monotonicity inequalities . . . . . . . 274--278 Koenraad M. R. Audenaert A singular value inequality for Heinz means . . . . . . . . . . . . . . . . . 279--283 Vladimir Nikiforov Eigenvalues and forbidden subgraphs I 284--290 Maozhong Fang On the completion of a partial integral matrix to a unimodular matrix . . . . . 291--294 Jiajin Wen and Wan-lan Wang Chebyshev type inequalities involving permanents and their applications . . . 295--303 Li Qiu and Xingzhi Zhan On the span of Hadamard products of vectors . . . . . . . . . . . . . . . . 304--307 Sebastian M. Cioab\ua and David A. Gregory Large matchings from eigenvalues . . . . 308--317 S. W. Drury OMC for scalar multiples of unitaries 318--325 Irvin Roy Hentzel and Alicia Labra Generalized Jordan algebras . . . . . . 326--330 B. P. Duggal and In Ho Jeon On $p$-quasi-hyponormal operators . . . 331--340 Saieed Akbari and Alireza Alipour and Javad Ebrahimi Boroojeni and Ebrahim Ghorbani and Mirhamed Mirjalalieh Shirazi Some relations between rank of a graph and its complement . . . . . . . . . . . 341--347 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
F. R. de Hoog and R. M. M. Mattheij Subset selection for matrices . . . . . 349--359 P. A. Binding and H. Volkmer A generalized eigenvalue problem in the max algebra . . . . . . . . . . . . . . 360--371 Antonio Giambruno and Mikhail Zaicev Multialternating Jordan polynomials and codimension growth of matrix algebras 372--379 Steffen Börm Data-sparse approximation of non-local operators by $\mathcal{H}^2$-matrices 380--403 Guang Zhang and Wenying Feng On the number of positive solutions of a nonlinear algebraic system . . . . . . . 404--421 Yoshiomi Nakagami and Haruo Yanai On Cullis' determinant for rectangular matrices . . . . . . . . . . . . . . . . 422--441 Bruce Moision and Alon Orlitsky and Paul H. Siegel On codes with local joint constraints 442--454 Ján Plesník Finding the orthogonal projection of a point onto an affine subspace . . . . . 455--470 T. Kurmayya and K. C. Sivakumar Nonnegative Moore--Penrose inverses of Gram operators . . . . . . . . . . . . . 471--476 Shencan Chen Proof of a conjecture concerning the Hadamard powers of inverse $M$-matrices 477--481 Che-Man Cheng and Xiao-Qing Jin and Seak-Weng Vong and Wei Wang A note on spectra of optimal and superoptimal preconditioned matrices . . 482--485 Grega Cigler Permutation-like matrix groups . . . . . 486--505 Shuanping Du and Jinchuan Hou and Zhaofang Bai Nonlinear maps preserving similarity on $\mathcal{B}(H)$ . . . . . . . . . . . . 506--516 Ming-Huat Lim and Joshua Juat-Huan Tan Preservers of matrix pairs with bounded distance . . . . . . . . . . . . . . . . 517--525 Marko D. Petkovi\'c and Predrag S. Stanimirovi\'c Interpolation algorithm for computing Drazin inverse of polynomial matrices 526--539 Ivan Markovsky and Sabine Van Huffel Left vs right representations for solving weighted low-rank approximation problems . . . . . . . . . . . . . . . . 540--552 Alfredo Eisinberg and Giuseppe Fedele Explicit solution of the polynomial least-squares approximation problem on Chebyshev extrema nodes . . . . . . . . 553--562 Chang-Pao Chen and Kuo-Zhong Wang Lower bounds of Copson type for Hausdorff matrices II . . . . . . . . . 563--573 Marek Niezgoda Laguerre--Samuelson type inequalities 574--581 Marija Dodig and Marko Sto\vsi\'c The change of feedback invariants under one row perturbation . . . . . . . . . . 582--603 Hassan Yousefi Asymptotic reflexivity . . . . . . . . . 604--615 Ana Marco and José-Javier Martínez A fast and accurate algorithm for solving Bernstein--Vandermonde linear systems . . . . . . . . . . . . . . . . 616--628 Igor Grubi\vsi\'c and Raoul Pietersz Efficient rank reduction of correlation matrices . . . . . . . . . . . . . . . . 629--653 G. R. Omidi and K. Tajbakhsh Starlike trees are determined by their Laplacian spectrum . . . . . . . . . . . 654--658 L. László Proof of Böttcher and Wenzel's conjecture on commutator norms for 3-by-3 matrices 659--663 Michel Baes Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras . . . . . . . . . . . . . . . . 664--700 Yoshio Takane and Haruo Yanai Alternative characterizations of the extended Wedderburn--Guttman theorem . . 701--711 Hong-Ke Du and Wen-Feng Wang and Ying-Tao Duan Path connectivity of $k$-generalized projectors . . . . . . . . . . . . . . . 712--720 Jun Zhu and Changping Xiong Derivable mappings at unit operator on nest algebras . . . . . . . . . . . . . 721--735 Bojan Mohar On the Laplacian coefficients of acyclic graphs . . . . . . . . . . . . . . . . . 736--741 Ronald D. Haynes and Manfred R. Trummer and Shannon C. Kennedy Persistently positive inverses of perturbed $M$-matrices . . . . . . . . . 742--754 Lingsheng Shi Bounds on the (Laplacian) spectral radius of graphs . . . . . . . . . . . . 755--770 Che-Man Cheng and Ieng-Chi Law and Sok-I Leong Eigenvalue equalities for ordinary and Hadamard products of powers of positive semidefinite matrices . . . . . . . . . 771--787 Jesús Gutiérrez-Gutiérrez and Pedro M. Crespo and Albrecht Böttcher Functions of banded Hermitian block Toeplitz matrices in signal processing 788--807 Mehmet Koca and Ramazan Koç and Nazife Ö. Koca The Chevalley group $G_2(2)$ of order 12\,096 and the octonionic root system of $E_7$ . . . . . . . . . . . . . . . . 808--823 Li Wang Semiconvergence of two-stage iterative methods for singular linear systems . . 824--838 G. M. L. Gladwell and Oscar Rojo Isospectral flows preserving some centrosymmetric structures . . . . . . . 839--853 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
D. Cvetkovi\'c and W. Haemers and P. Rowlinson Preface . . . . . . . . . . . . . . . . 1--2 Steve Kirkland Constructably Laplacian integral graphs 3--21 Fan Chung Random walks and local cuts in graphs 22--32 E. R. van Dam and W. H. Haemers and J. H. Koolen Cospectral graphs and the generalized adjacency matrix . . . . . . . . . . . . 33--41 Leslie Hogben and Hein van der Holst Forbidden minors for the class of graphs G with $\xi (G) \leq 2$ . . . . . . . . 42--52 Nair Maria Maia de Abreu Old and new results on algebraic connectivity of graphs . . . . . . . . . 53--73 F. Comellas and S. Gago Spectral bounds for the betweenness of a graph . . . . . . . . . . . . . . . . . 74--80 Francesco Belardo and Enzo Maria Li Marzi and Slobodan K. Simi\'c Some notes on graphs whose index is close to 2 . . . . . . . . . . . . . . . 81--89 Domingos M. Cardoso and Paula Rama Spectral results on graphs with regularity constraints . . . . . . . . . 90--98 Carlos J. Luz A characterization of Delsarte's linear programming bound as a ratio bound . . . 99--108 M. A. Fiol and M. Mitjana The spectra of some families of digraphs 109--118 Dragan Stevanovi\'c and Nair M. M. de Abreu and Maria A. A. de Freitas and Renata Del-Vecchio Walks and regular integral graphs . . . 119--135 Leonardo Silva de Lima and Nair Maria Maia de Abreu and Carla Silva Oliveira and Maria Aguieiras Alvarez de Freitas Laplacian integral graphs in $S(a, b)$ 136--145 D. Cvetkovi\'c and P. Rowlinson and S. K. Simi\'c Star complements and exceptional graphs 146--154 Drago\vs Cvetkovi\'c and Peter Rowlinson and Slobodan K. Simi\'c Signless Laplacians of finite graphs . . 155--171 Dragan Stevanovi\'c Research problems from the Aveiro Workshop on Graph Spectra . . . . . . . 172--181 Anonymous Group photo . . . . . . . . . . . . . . ii--iii Anonymous Preface . . . . . . . . . . . . . . . . xi--xi
Michael Stewart A generalized isometric Arnoldi algorithm . . . . . . . . . . . . . . . 183--208 Yong-Jian Hu and K. d. A. Boubakar and Gong-Ning Chen On boundary Nevanlinna--Pick interpolation for Carathéodory matrix functions . . . . . . . . . . . . . . . 209--229 Yongzhi Yang and Catherine Micek Generalized Pascal functional matrix and its applications . . . . . . . . . . . . 230--245 Yongdo Lim Hilbert's projective metric on Lorenz cones and Birkhoff formula for Lorentzian compressions . . . . . . . . 246--254 A. M. Hasani and M. Radjabalipour On linear preservers of (right) matrix majorization . . . . . . . . . . . . . . 255--261 Luz M. DeAlba and Irvin R. Hentzel and Leslie Hogben and Judith McDonald and Rana Mikkelson and Olga Pryporova and Bryan Shader and Kevin N. Vander Meulen Spectrally arbitrary patterns: Reducibility and the $2 n$ conjecture for $n = 5$ . . . . . . . . . . . . . . 262--276 Gerald Bourgeois On commuting exponentials in low dimensions . . . . . . . . . . . . . . . 277--286 Attila Andai On the curvature of the quantum state space with pull-back metrics . . . . . . 287--304 Melissa Meehan Hoover Symplectic commutator subgroups . . . . 305--323 Dengyin Wang and Qiu Yu and Yanxia Zhao Automorphisms of a linear Lie algebra over a commutative ring . . . . . . . . 324--331 Xiezhang Li and Yimin Wei A note on the representations for the Drazin inverse of $2 \times 2$ block matrices . . . . . . . . . . . . . . . . 332--338 Chen-Lian Chuang and Tsiu-Kwen Lee and Chi-Tsuen Yeh Minimal polynomials of algebraic derivations and automorphisms . . . . . 339--350 Amitava Bhattacharya and Uri N. Peled and Murali K. Srinivasan Cones of closed alternating walks and trails . . . . . . . . . . . . . . . . . 351--365 Barbu C. Kestenband The correlations of finite Desarguesian planes of square order defined by diagonal matrices . . . . . . . . . . . 366--385 Aiping Deng and Iwao Sato and Yaokun Wu Homomorphisms, representations and characteristic polynomials of digraphs 386--407 E. R. van Dam and R. E. Kooij The minimal spectral radius of graphs with a given diameter . . . . . . . . . 408--419 Shaun M. Fallat and Charles R. Johnson Hadamard powers and totally positive matrices . . . . . . . . . . . . . . . . 420--427 Yijia Tan On invertible matrices over antirings 428--444 Dominique Foata and Guo-Niu Han Specializations and extensions of the quantum MacMahon Master Theorem . . . . 445--455 Adrian Sandovici and Henk de Snoo and Henrik Winkler Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces . . . . . . . . . . . . . 456--497 Hirobumi Mizuno and Iwao Sato A new Bartholdi zeta function of a digraph . . . . . . . . . . . . . . . . 498--511 Jean-Christophe Bourin and Mitsuru Uchiyama A matrix subadditivity inequality for $f ( A + B )$ and $f ( A ) + f ( B )$ . . . 512--518 Charles R. Johnson and Ronald L. Smith Corrigendum to: ``Positive, path product, and inverse $M$-matrices'' [Linear Algebra Appl. 421 (2007) 328--337] . . . . . . . . . . . . . . . 519--519 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Rajendra Bhatia and Fuad Kittaneh and Roy Mathias and Xingzhi Zhan Special issue dedicated to Roger Horn 1--2 Anonymous Publications of Roger Horn . . . . . . . 3--7 Chi-Kwong Li and Edward Poon Schur product of matrices and numerical radius (range) preserving maps . . . . . 8--24 Jaspal Singh Aujla and Jean-Christophe Bourin Eigenvalue inequalities for convex and log-convex functions . . . . . . . . . . 25--35 Rajendra Bhatia and Hideki Kosaki Mean matrices and infinite divisibility 36--54 Yubin Gao and Zhongshan Li and Yanling Shao Sign patterns allowing nilpotence of index 3 . . . . . . . . . . . . . . . . 55--70 Omar Hirzallah and Fuad Kittaneh Inequalities for sums and direct sums of Hilbert space operators . . . . . . . . 71--82 John Holbrook and Jean-Pierre Schoch Moving zeros among matrices . . . . . . 83--95 Huajun Huang and Tin-Yau Tam An asymptotic behavior of QR decomposition . . . . . . . . . . . . . 96--107 R. Balaji and R. B. Bapat On Euclidean distance matrices . . . . . 108--117 S. J. Kirkland and Michael Neumann and Jianhong Xu Transition matrices for well-conditioned Markov chains . . . . . . . . . . . . . 118--131 Xingzhi Zhan Extremal numbers of positive entries of imprimitive nonnegative matrices . . . . 132--138 Fuzhen Zhang Ger\vsgorin type theorems for quaternionic matrices . . . . . . . . . 139--153 Stefano Serra-Capizzano The spectral approximation of multiplication operators via asymptotic (structured) linear algebra . . . . . . 154--176 Ameur Seddik Rank one operators and norm of elementary operators . . . . . . . . . . 177--183 Leiba Rodman Canonical forms for mixed symmetric--skewsymmetric quaternion matrix pencils . . . . . . . . . . . . . 184--221 Chi-Kwong Li and Peter \vSemrl and Nung-Sing Sze Maps preserving the nilpotency of products of operators . . . . . . . . . 222--239 Hristo S. Sendov The higher-order derivatives of spectral functions . . . . . . . . . . . . . . . 240--281 Vyacheslav Futorny and Vladimir V. Sergeichuk Classification of sesquilinear forms with the first argument on a subspace or a factor space . . . . . . . . . . . . . 282--303 Marko Huhtanen How real is your matrix? . . . . . . . . 304--319 Oskar Maria Baksalary and Julio Benítez Idempotency of linear combinations of three idempotent matrices, two of which are commuting . . . . . . . . . . . . . 320--337 Anonymous Photo of Roger Horn . . . . . . . . . . ii--iii Anonymous Special issue dedicated to Roger Horn xii--xii
Kazumasa Nomura and Paul Terwilliger The split decomposition of a tridiagonal pair . . . . . . . . . . . . . . . . . . 339--345 J. H. Fourie and G. J. Groenewald and A. C. M. Ran Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces . . . . . 346--370 A. Aizpuru and M. Tamayo Linear bijections which preserve the diameter of vector-valued maps . . . . . 371--377 Shikun Ou and Dengyin Wang and Ruiping Yao Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring . . . . . . . . . . . 378--383 A. Blanco and A. Turn\vsek On the converse of Anderson's theorem 384--389 Khakim D. Ikramov A note on the matrix equation $XA - AX = X^p$ . . . . . . . . . . . . . . . . . . 390--392 Georgi N. Boshnakov Singular value decomposition of multi-companion matrices . . . . . . . . 393--404 Jens-Peter M. Zemke Abstract perturbed Krylov methods . . . 405--434 Plamen Koev and Froilán Dopico Accurate eigenvalues of certain sign regular matrices . . . . . . . . . . . . 435--447 Heinrich Voss A new justification of the Jacobi--Davidson method for large eigenproblems . . . . . . . . . . . . . 448--455 Khakim D. Ikramov On condiagonalizable matrices . . . . . 456--465 Shaun Fallat and Xiao Ping Liu A class of oscillatory matrices with exponent $n - 1$ . . . . . . . . . . . . 466--479 Bart De Bruyn Tight sets of points in the half-spin geometry related to $Q^+(9, q)$ . . . . 480--491 Cristina Caldeira Critical operators for the degree of the minimal polynomial of derivations restricted to Grassmann spaces . . . . . 492--509 Brian Curtin Modular Leonard triples . . . . . . . . 510--539 Vakhtang Lomadze When are linear differentiation-invariant spaces differential? . . . . . . . . . . . . . 540--554 Marija Dodig Special loop connections of linear systems . . . . . . . . . . . . . . . . 555--569 P. A. Fuhrmann and P. Rapisarda and Y. Yamamoto On the state of behaviors . . . . . . . 570--614 Alberto Borobia and Roberto Canogar Constructing matrices with prescribed off-diagonal submatrix and invariant polynomials . . . . . . . . . . . . . . 615--633 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
C.-S. Lin On operator order and chaotic operator order for two operators . . . . . . . . 1--6 Maozhong Fang Bounds on eigenvalues of the Hadamard product and the Fan product of matrices 7--15 Josip Pe\vcari\'c and Rajna Raji\'c The Dunkl--Williams equality in pre-Hilbert $C^*$-modules . . . . . . . 16--25 Alexander G. Zavadskij On the Kronecker Problem and related problems of Linear Algebra . . . . . . . 26--62 M. I. Bueno and S. Furtado and C. R. Johnson Congruence of Hermitian matrices by Hermitian matrices . . . . . . . . . . . 63--76 Hongguo Xu Transformations between discrete-time and continuous-time algebraic Riccati equations . . . . . . . . . . . . . . . 77--101 Tetsuo Harada Multiplicative versions of Klyachko's theorem in finite factors . . . . . . . 102--108 Hiromichi Ohno and Dénes Petz and András Szántó Quasi-orthogonal subalgebras of $4 \times 4$ matrices . . . . . . . . . . . 109--118 Xiande Yang and Yiqiang Zhou Some families of strongly clean rings 119--129 Matthew D. Horton Ihara zeta functions of digraphs . . . . 130--142 Oscar Rojo On the $s$th Laplacian eigenvalue of trees of order $s t + 1$ . . . . . . . . 143--149 Saroj Malik and P. Bhimasankaram Shorted operators of partitioned matrices and application . . . . . . . . 150--161 A. M. Mathai Random volumes under a general matrix-variate model . . . . . . . . . . 162--170 Jun Ji and Bo Yang Eigenvalue comparisons for second order difference equations with Neumann boundary conditions . . . . . . . . . . 171--183 Xiaochun Fang and Haitao Yang and Shudong Liu General forms of operator algebras on Pontrjagin space with neutral invariant subspaces . . . . . . . . . . . . . . . 184--209 Wei Wang and Cheng-Xian Xu Note: On the generalized spectral characterization of graphs having an isolated vertex . . . . . . . . . . . . 210--215 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
A. C. Antoulas and U. Helmke and J. Rosenthal and V. Vinnikov and E. Zerz Preface . . . . . . . . . . . . . . . . 217--219 A. C. Antoulas Curriculum Vitae P. A. Fuhrmann . . . . 220--225 Jan C. Willems and Yutaka Yamamoto Behaviors defined by rational functions 226--241 Augusto Ferrante and Lorenzo Ntogramatzidis A unified approach to finite-horizon generalized LQ optimal control problems for discrete-time systems . . . . . . . 242--260 Wilfried Manthey and Uwe Helmke Bruhat canonical form for linear systems 261--282 Paolo Santesso and Maria Elena Valcher On the zero pattern properties and asymptotic behavior of continuous-time positive system trajectories . . . . . . 283--302 Jochen Trumpf Observers for linear time-varying systems . . . . . . . . . . . . . . . . 303--312 Xiaochang Wang On the solvability of polynomial systems arising in control . . . . . . . . . . . 313--322 Gianfranco Bilardi and Augusto Ferrante The role of terminal cost/reward in finite-horizon discrete-time LQ optimal control . . . . . . . . . . . . . . . . 323--344 Moisés Bonilla Estrada and Maricela Figueroa Garcia and Michel Malabre and Juan Carlos Martínez García Left invertibility and duality for linear systems . . . . . . . . . . . . . 345--373 Diederich Hinrichsen and Anthony J. Pritchard Gershgorin--Brualdi perturbations and Riccati equations . . . . . . . . . . . 374--403 Ralf L. M. Peeters and Bernard Hanzon and Martine Olivi Canonical lossless state-space systems: Staircase forms and the Schur algorithm 404--433 I. Gohberg and M. A. Kaashoek and L. Lerer On a class of entire matrix function equations . . . . . . . . . . . . . . . 434--442 Giorgio Picci A module theoretic interpretation of multiplicity and rank of a stationary random process . . . . . . . . . . . . . 443--452 Osamu Kaneko and Paolo Rapisarda On the Takagi interpolation problem . . 453--470 Irfan Okay and Stephen L. Campbell and Peter Kunkel The additional dynamics of least squares completions for linear differential algebraic equations . . . . . . . . . . 471--485 A. Gombani and György Michaletzky On the Nevanlinna--Pick interpolation problem: Analysis of the McMillan degree of the solutions . . . . . . . . . . . . 486--517 Heide Gluesing-Luerssen and Gert Schneider State space realizations and monomial equivalence for convolutional codes . . 518--533 Vakhtang Lomadze State and internal variables for linear systems . . . . . . . . . . . . . . . . 534--547 Peter Benner and Ralph Byers and Volker Mehrmann and Hongguo Xu A robust numerical method for the $\gamma$-iteration in $H_\infty$ control 548--570 Hanna M. Härdin and Jan H. van Schuppen Observers for linear positive systems 571--607 Giovanna Fanizza and Johan Karlsson and Anders Lindquist and Ryozo Nagamune Passivity-preserving model reduction by analytic interpolation . . . . . . . . . 608--633 A. J. Mayo and A. C. Antoulas A framework for the solution of the generalized realization problem . . . . 634--662 Tryphon Georgiou and Oleg Michailovich and Yogesh Rathi and James Malcolm and Allen Tannenbaum Distribution metrics and image segmentation . . . . . . . . . . . . . . 663--672 Joan-Josep Climent and Victoria Herranz and Carmen Perea A first approximation of concatenated convolutional codes from linear systems theory viewpoint . . . . . . . . . . . . 673--699 Daniel Alpay and Olga Timoshenko and Dan Volok Carathéodory functions in the Banach space setting . . . . . . . . . . . . . 700--713 Harry Dym and Dan Volok Zero distribution of matrix polynomials 714--738 Madhu N. Belur and Harish K. Pillai and H. L. Trentelman Dissipative systems synthesis: A linear algebraic approach . . . . . . . . . . . 739--756 A. Amparan and S. Marcaida and I. Zaballa Local realizations and local polynomial matrix representations of systems . . . 757--775 Margreta Kuijper and Raquel Pinto and Jan Willem Polderman The predictable degree property and row reducedness for systems over a finite ring . . . . . . . . . . . . . . . . . . 776--796 Nir Cohen and Izchak Lewkowicz Convex invertible cones and positive real analytic functions . . . . . . . . 797--813 Anonymous Photo of Paul Fuhrmann . . . . . . . . . ii--iii Anonymous Preface . . . . . . . . . . . . . . . . x--x
Yuwen Wang and Hao Zhang Perturbation analysis for oblique projection generalized inverses of closed linear operators in Banach spaces 1--11 Jiansheng Chen The proof on the conjecture of extremal graphs for the $k$th eigenvalues of trees . . . . . . . . . . . . . . . . . 12--21 A. Kevin Tang and Alp Simsek and Asuman Ozdaglar and Daron Acemoglu On the stability of $P$-matrices . . . . 22--32 Masatoshi Fujii and Ritsuo Nakamoto and Masaru Tominaga Generalized Bebiano--Lemos--Providência inequalities and their reverses . . . . 33--39 Li Fang and Guoxing Ji and Yongfeng Pang Maps preserving the idempotency of products of operators . . . . . . . . . 40--52 Torben Stender A generalization of imaginary parts of eigenvalues for matrices: Chain rotation numbers . . . . . . . . . . . . . . . . 53--70 B. V. Rajarama Bhat and Mithun Mukherjee Integrators of matrices . . . . . . . . 71--82 R. Balaji On an interconnection between the Lipschitz continuity of the solution map and the positive principal minor property in linear complementarity problems over Euclidean Jordan algebras 83--95 Alexander Kovacec and Natália Bebiano and João da Providência On the corners of certain determinantal ranges . . . . . . . . . . . . . . . . . 96--108 A. A. Lopatin On block partial linearizations of the pfaffian . . . . . . . . . . . . . . . . 109--129 Christopher J. Hillar Advances on the Bessis--Moussa--Villani trace conjecture . . . . . . . . . . . . 130--142 Cheng-Kai Liu and Wan-Yu Tsai Jordan isomorphisms of upper triangular matrix rings . . . . . . . . . . . . . . 143--148 Marek Niezgoda On linear preservers of normal maps . . 149--158 Shmuel Friedland and Christian Krattenthaler $2$-Adic valuations of certain ratios of products of factorials and applications 159--189 Ji Peisheng Jordan maps on triangular algebras . . . 190--198 Siwen Guo and Wuwen Guo Perturbing non-real eigenvalues of non-negative real matrices . . . . . . . 199--203 Karin Cvetko-Vah On the structure of semigroups of idempotent matrices . . . . . . . . . . 204--213 Xiang-dong Hou On a vector space analogue of Kneser's theorem . . . . . . . . . . . . . . . . 214--227 Qiong Wei and Pengtong Li Centralizers of $\mathcal{J}$-subspace lattice algebras . . . . . . . . . . . . 228--237 Hong You and Zhongying Wang $k$-Potence preserving maps without the linearity and surjectivity assumptions 238--254 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
M. Dobovi\vsek and B. Kuzma and G. Le\vsnjak and C. K. Li and T. Petek Mappings that preserve pairs of operators with zero triple Jordan product . . . . . . . . . . . . . . . . 255--279 P. Ibarrola and A. Pérez-Palomares A characterization of a Gaussian process in terms of sufficient estimators . . . 280--289 Ludwig Elsner and Daniel Hershkowitz Functional inequalities for max eigenvalues of nonnegative matrices . . 290--298 Constantin Costara A Cartan type theorem for finite-dimensional algebras . . . . . . 299--304 Fernando C. Silva and Rita Simões On the Lyapunov and Stein Equations, II 305--311 Jean-Christophe Bourin and Yuki Seo Reverse inequality to Golden--Thompson type inequalities: Comparison of $e^{A + B}$ and $e^A e^B$ . . . . . . . . . . . 312--316 Xiaohong Cao Browder essential approximate point spectra and hypercyclicity for operator matrices . . . . . . . . . . . . . . . . 317--324 Walter D. Morris Jr. and Makoto Namiki Good hidden $P$-matrix sandwiches . . . 325--341 Takayuki Furuta Operator inequality implying generalized Bebiano--Lemos--Providência one . . . . . 342--348 Steven Delvaux and Marc Van Barel Rank-deficient submatrices of Kronecker products of Fourier matrices . . . . . . 349--367 Mikhail Chebotar and Victor Lomonosov On a question by Grunenfelder, Omladi\vc and Radjavi . . . . . . . . . . . . . . 368--370 J. J. Koliha and Dragan Djordjevi\'c and Dragana Cvetkovi\'c Moore--Penrose inverse in rings with involution . . . . . . . . . . . . . . . 371--381 V. Nitica and I. Singer The structure of max-plus hyperplanes 382--414 Blanka Seman\vcíková Orbits and critical components of matrices in max--min algebra . . . . . . 415--447 Jianlian Cui Additive Drazin inverse preservers . . . 448--453 E. R. van Dam Graphs with given diameter maximizing the spectral radius . . . . . . . . . . 454--457 Amitava Bhattacharya and Shmuel Friedland and Uri N. Peled The polytope of dual degree partitions 458--461 Bart De Bruyn A decomposition of the natural embedding spaces for the symplectic dual polar spaces . . . . . . . . . . . . . . . . . 462--477 Hongbo Hua and Maolin Wang Unicyclic graphs with given number of pendent vertices and minimal energy . . 478--489 Sejong Kim and Yongdo Lim A converse inequality of higher order weighted arithmetic and geometric means of positive definite operators . . . . . 490--496 Joseph M. Renes Equiangular tight frames from Paley tournaments . . . . . . . . . . . . . . 497--501 Michael P. Drazin Exact rational solution of the matrix equation $A = p(X)$ by linearization . . 502--515 Tatsuro Ito and Paul Terwilliger $q$-Inverting pairs of linear transformations and the $q$-tetrahedron algebra . . . . . . . . . . . . . . . . 516--532 Andrea Causin and Gian Pietro Pirola A note on spaces of symmetric matrices 533--539 Ma. Nerissa M. Abara and Dennis I. Merino and Agnes T. Paras Skew-coninvolutory matrices . . . . . . 540--557 Shaun M. Fallat and Leslie Hogben The minimum rank of symmetric matrices described by a graph: A survey . . . . . 558--582 Zhuo-hua Peng and Xi-yan Hu and Lei Zhang The bisymmetric solutions of the matrix equation $A_1 X_1 B_1 + A_2 X_2 B_2 + \cdots + A_l X_l B_l = C$ and its optimal approximation . . . . . . . . . 583--595 Rubén Puente Cyclic convex bodies and optimization moment problems . . . . . . . . . . . . 596--609 Shencan Chen Inequalities for $M$-matrices and inverse $M$-matrices . . . . . . . . . . 610--618 Mátyás A. Sustik and Joel A. Tropp and Inderjit S. Dhillon and Robert W. Heath Jr. On the existence of equiangular tight frames . . . . . . . . . . . . . . . . . 619--635 Chun-Hua Guo A new class of nonsymmetric algebraic Riccati equations . . . . . . . . . . . 636--649 Ernesto Salinelli and Carlo Sgarra Shift, slope and curvature for a class of yields correlation matrices . . . . . 650--666 Guang-Hui Cheng and Ting-Zhu Huang An upper bound for $||A^{-1}||_\infty$ of strictly diagonally dominant $M$-matrices . . . . . . . . . . . . . . 667--673 Sven Feldmann and Patrick Lang and Dieter Prätzel-Wolters A unified least squares approach to identify and to reduce continuous asymptotically stable systems . . . . . 674--689 Carlos Marijuán and Miriam Pisonero and Ricardo L. Soto A map of sufficient conditions for the real nonnegative inverse eigenvalue problem . . . . . . . . . . . . . . . . 690--705 Dayan Liu and Xiankun Du and Xiaosong Sun The linear dependence problem for power linear maps . . . . . . . . . . . . . . 706--715 C.-G. Ambrozie Finding positive matrices subject to linear restrictions . . . . . . . . . . 716--728 J. Torre-Mayo and M. R. Abril-Raymundo and E. Alarcia-Estévez and C. Marijuán and M. Pisonero The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs 729--773 Christos Kravvaritis and Marilena Mitrouli Evaluation of minors associated to weighing matrices . . . . . . . . . . . 774--809 Vladimir Nikiforov Chromatic number and spectral radius . . 810--814 Roland Hildebrand Exactness of sums of squares relaxations involving $3 \times 3$ matrices and Lorentz cones . . . . . . . . . . . . . 815--840 Ting-Zhu Huang and Lin Wang Improving bounds for eigenvalues of complex matrices using traces . . . . . 841--854 T. Ando Review of the book of Rajendra Bhatia \em ``Positive Definite Matrices'' . . . 855--858 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Jun Zhu All-derivable points of operator algebras . . . . . . . . . . . . . . . . 1--5 Jon Wilkening An algorithm for computing Jordan chains and inverting analytic matrix functions 6--25 Marina Arav and Jean Bevis and Frank J. Hall Inherited LU-factorizations of matrices 26--41 Milan Nath and Bhaba Kumar Sarma On the null-spaces of acyclic and unicyclic singular graphs . . . . . . . 42--54 Kinkar Ch. Das Extremal graph characterization from the upper bound of the Laplacian spectral radius of weighted graphs . . . . . . . 55--69 José Antonio de la Peña and Ivan Gutman and Juan Rada Estimating the Estrada index . . . . . . 70--76 Yongdo Lim On the symmetric matrix word equation $X B X^2 B^3 X^2 B X = A$ . . . . . . . . . 77--86 Xueliang Li and Jianbin Zhang On bicyclic graphs with maximal energy 87--98 M. I. Bueno and C. R. Johnson Minimum deviation, quasi-LU factorization of nonsingular matrices 99--118 Piet Van Mieghem A new type of lower bound for the largest eigenvalue of a symmetric matrix 119--129 Natália Bebiano and João da Providência and Alexander Kova\vcec An extension of Birkhoff's theorem with an application to determinants . . . . . 130--137 Oscar Rojo and María Robbiano An explicit formula for eigenvalues of Bethe trees and upper bounds on the largest eigenvalue of any tree . . . . . 138--150 Wei Wang and Cheng-Xian Xu Some results on the spectral reconstruction problem . . . . . . . . . 151--159 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Ros\`ario Fernandes and Cecília Perdigão The minimum rank of matrices and the equivalence class graph . . . . . . . . 161--170 Sachindranath Jayaraman and K. C. Sivakumar Weak monotonicity of $A$ versus $1$-inverses nonnegative on the range space of $A$ . . . . . . . . . . . . . . 171--175 Manuel González and Mostafa Mbekhta Linear maps on $M_N(\mathbb{C})$ preserving the local spectrum . . . . . 176--182 Vladimir Nikiforov Bounds on graph eigenvalues II . . . . . 183--189 Eunkyung Ahn and Sejung Kim and Yongdo Lim An extended Lie--Trotter formula and its applications . . . . . . . . . . . . . . 190--196 Grigoris I. Kalogeropoulos and Athanasios D. Karageorgos and Athanasios A. Pantelous On the relation of the Drazin inverse and matrix pencil theory methods for the study of generalized linear systems . . 197--205 Christopher R. H. Hanusa Pseudo-centrosymmetric matrices, with applications to counting perfect matchings . . . . . . . . . . . . . . . 206--217 Tatsuro Ito and Paul Terwilliger Tridiagonal pairs of Krawtchouk type . . 218--233 A. Sáez-Schwedt Feedback cyclization for rings with finite stable range . . . . . . . . . . 234--241 Richard Davies and Peng Shi and Ron Wiltshire New lower solution bounds of the continuous algebraic Riccati matrix equation . . . . . . . . . . . . . . . . 242--255 Hubert Pickmann and Juan Egaña and Ricardo L. Soto Extremal inverse eigenvalue problem for bordered diagonal matrices . . . . . . . 256--271 Jun Ichi Fujii and Masatoshi Fujii and Masahiro Nakamura and Josip Pe\vcari\'c and Yuki Seo A reverse inequality for the weighted geometric mean due to Lawson--Lim . . . 272--284 Lihua You and Jiayu Shao and Haiying Shan Bounds on the bases of irreducible generalized sign pattern matrices . . . 285--300 Xiao-Dong Zhang Ordering trees with algebraic connectivity and diameter . . . . . . . 301--312 Manoel Lemos and Talmage James Reid and Bryan Williams and Haidong Wu Pairs of largest circuits in $3$-connected matroids . . . . . . . . . 313--316 Li-Ping Huang and Zhuo-Jun Liu Similarity reduction of matrix over a quaternion division ring . . . . . . . . 317--332 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Richard A. Brualdi and Volker Mehrmann and Hans Schneider LAA is 40 years old . . . . . . . . . . 1--3 Alan Hoffman A note from LAA's first editor-in-chief 4--4 Miroslav Fiedler Intrinsic products and factorizations of matrices . . . . . . . . . . . . . . . . 5--13 Endre Boros and Richard A. Brualdi and Yves Crama and A. J. Hoffman Ger\vsgorin variations III: On a theme of Brualdi and Varga . . . . . . . . . . 14--19 Volker Mehrmann and Reinhard Nabben and Elena Virnik Generalisation of the Perron--Frobenius theory to matrix pencils . . . . . . . . 20--38 Nicholas J. Higham Cayley, Sylvester, and Early Matrix Theory . . . . . . . . . . . . . . . . . 39--43 P. A. Fuhrmann Observer theory . . . . . . . . . . . . 44--136 Chandler Davis and Chi-Kwong Li and Abbas Salemi Polynomial numerical hulls of matrices 137--153 Vladimir V. Sergeichuk Canonical matrices of isometric operators on indefinite inner product spaces . . . . . . . . . . . . . . . . . 154--192 Roger A. Horn and Vladimir V. Sergeichuk Canonical matrices of bilinear and sesquilinear forms . . . . . . . . . . . 193--223 Michael Neumann and Nung-Sing Sze A note on the perturbation of positive matrices by normal and unitary matrices 224--229 Thomas J. Laffey and Helena \vSmigoc Spectra of principal submatrices of nonnegative matrices . . . . . . . . . . 230--238 Ming-Huat Lim Additive preservers of non-zero decomposable tensors . . . . . . . . . . 239--253 Alexandru Tupan On sesquilinear forms over fields with involution . . . . . . . . . . . . . . . 254--258 Marija Dodig Matrix pencils completion problems . . . 259--304 S. W. Drury Von Neumann's inequality for noncommuting contractions . . . . . . . 305--315 Roman Werpachowski On the approximation of real powers of sparse, infinite, bounded and Hermitian matrices . . . . . . . . . . . . . . . . 316--323 Thomas Cluzeau and Alban Quadrat Factoring and decomposing a class of linear functional systems . . . . . . . 324--381 J. Vermeer Orthogonal similarity of a real matrix and its transpose . . . . . . . . . . . 382--392 A. G. Zavadskij A matrix problem over a central quadratic skew field extension . . . . . 393--399 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Wai-Ki Ching and Michael K. Ng and Eugene Tyrtyshnikov and Marc Van Barel Preface for LAA special issue on structured matrices (SM) . . . . . . . . 401--402 Xiao-Qing Jin and Yi-Min Wei A survey and some extensions of T. Chan's preconditioner . . . . . . . . . 403--412 Zhong-Zhi Bai and Gene H. Golub and Michael K. Ng On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems . . . . 413--440 Franklin T. Luk and Daniel M. Tracy An improved LLL algorithm . . . . . . . 441--452 Li Wang and Zhong-Zhi Bai Convergence conditions for splitting iteration methods for non-Hermitian linear systems . . . . . . . . . . . . . 453--468 Wei Xu and Sanzheng Qiao and Yimin Wei A note on the scaled total least squares problem . . . . . . . . . . . . . . . . 469--478 N. Mastronardi and M. Van Barel and R. Vandebril A Schur-based algorithm for computing bounds to the smallest eigenvalue of a symmetric positive definite Toeplitz matrix . . . . . . . . . . . . . . . . . 479--491 Wai-Ki Ching and Michael K. Ng and Eric S. Fung Higher-order multivariate Markov chains and their applications . . . . . . . . . 492--507 Dario A. Bini and Alessandra De Rossi and Bruno Gabutti On certain (block) Toeplitz matrices related to radial functions . . . . . . 508--519 Fu-Rong Lin An explicit formula for the inverse of band triangular Toeplitz matrix . . . . 520--534 Seak-Weng Vong and Wei Wang and Xiao-Qing Jin Convergence analysis of superoptimal PCG algorithm for Toeplitz systems with a Fisher--Hartwig singularity . . . . . . 535--549 Wei Xu and Sanzheng Qiao A fast symmetric SVD algorithm for square Hankel matrices . . . . . . . . . 550--563 Claudio Estatico and Stefano Serra-Capizzano Superoptimal approximation for unbounded symbols . . . . . . . . . . . . . . . . 564--585 Bor Plestenjak and Marc Van Barel and Ellen Van Camp A Cholesky $LR$ algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem 586--599 D. Noutsos and S. Serra Capizzano and P. Vassalos The conditioning of FD matrix sequences coming from semi-elliptic differential equations . . . . . . . . . . . . . . . 600--624 Zheng-Jian Bai Constructing the physical parameters of a damped vibrating system from eigendata 625--656 A. Aric\`o and M. Donatelli and Serra Capizzano Spectral analysis of the anti-reflective algebra . . . . . . . . . . . . . . . . 657--675 Xing-Bao Gao and Gene H. Golub and Li-Zhi Liao Continuous methods for symmetric generalized eigenvalue problems . . . . 676--696 Luca Gemignani and Marc Van Barel and Steven Delvaux Fast QR factorization of Cauchy-like matrices . . . . . . . . . . . . . . . . 697--711 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Bo Cheng and Bolian Liu The base sets of primitive zero-symmetric sign pattern matrices . . 715--731 Bao-Hua Xie and Yue-Ping Jiang $PU(2,1)$ with regular elliptic elements 732--737 N. Komaroff Enhancements to the von Neumann trace inequality . . . . . . . . . . . . . . . 738--741 Sefi Ladkani On the periodicity of Coxeter transformations and the non-negativity of their Euler forms . . . . . . . . . . 742--753 Oscar Rojo New upper bounds on the spectral radius of unicyclic graphs . . . . . . . . . . 754--764 Li-Ping Huang and Zhuo-Jun Liu WITHDRAWN: Similarity reduction of matrix over a quaternion division ring 765--780 Koenraad M. R. Audenaert On a norm compression inequality for $2 \times N$ partitioned block matrices . . 781--795 Edward S. Coakley and Froilán M. Dopico and Charles R. Johnson Matrices with orthogonal groups admitting only determinant one . . . . . 796--813 M. I. Gil' Identities for sums of characteristic values of entire matrix pencils . . . . 814--823 Carsten Elsner and Takao Komatsu A recurrence formula for leaping convergents of non-regular continued fractions . . . . . . . . . . . . . . . 824--833 Vyacheslav Boyko and Jiri Patera and Roman Popovych Invariants of solvable lie algebras with triangular nilradicals and diagonal nilindependent elements . . . . . . . . 834--854 K. L. Patra and A. K. Lal The effect on the algebraic connectivity of a tree by grafting or collapsing of edges . . . . . . . . . . . . . . . . . 855--864 Edward Poon Schur-multiplicative maps preserving unitarily invariant norms . . . . . . . 865--870 Lijun Zhao and Xiyan Hu and Lei Zhang Least squares solutions to $AX = B$ for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation . . . . . . . . . 871--880 Tsiu-Kwen Lee and Yiqiang Zhou Algebraic prime subalgebras in simple Artinian algebras . . . . . . . . . . . 881--889 Dragomir \vZ. \Dbarokovi\'c and Benjamin H. Smith Quaternionic matrices: Unitary similarity, simultaneous triangularization and some trace identities . . . . . . . . . . . . . . . 890--910 Qiang Ye Optimal expansion of subspaces for eigenvector approximations . . . . . . . 911--918 Xinyun Zhu The $N = 1$ quivers of types $A_n$ and $D_n$ have finite representation type 919--929 Gi-Sang Cheon and Hana Kim Simple proofs of open problems about the structure of involutions in the Riordan group . . . . . . . . . . . . . . . . . 930--940 Gi-Sang Cheon and Hana Kim and Louis W. Shapiro Riordan group involutions . . . . . . . 941--952 Bokhee Im and Jonathan D. H. Smith Generic adjoints in comtrans algebras of bilinear spaces . . . . . . . . . . . . 953--961 A. Y. Alfakih On the dual rigidity matrix . . . . . . 962--972 Liang Lin The Laplacian spectral radius of graphs on surfaces . . . . . . . . . . . . . . 973--977 Luca Gemignani Neville elimination for rank-structured matrices . . . . . . . . . . . . . . . . 978--991 Qingxiang Xu and Lijuan Sheng Positive semi-definite matrices of adjointable operators on Hilbert $C^*$-modules . . . . . . . . . . . . . 992--1000 Shaofang Hong Divisibility properties of power GCD matrices and power LCM matrices . . . . 1001--1008 Jianzhou Liu and Jicheng Li and Zhuohong Huang and Xu Kong Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices . . . . . . . . . . . 1009--1030 Beata Laszkiewicz and Krystyna Zie\ctak Approximation by matrices with restricted spectra . . . . . . . . . . . 1031--1040 M. Bendaoud and A. Bourhim and M. Sarih Linear maps preserving the essential spectral radius . . . . . . . . . . . . 1041--1045 Patrick Lenders and Jingling Xue Factorization of singular integer matrices . . . . . . . . . . . . . . . . 1046--1055 Sarah Spence Adams and Jennifer Seberry and Nathaniel Karst and Jonathan Pollack and Tadeusz A. Wysocki Quaternion orthogonal designs from complex companion designs . . . . . . . 1056--1071 Takayuki Furuta Monotonicity of order preserving operator functions . . . . . . . . . . . 1072--1082 Kazumasa Nomura and Paul Terwilliger The switching element for a Leonard pair 1083--1108 B. P. Duggal An elementary operator with log-hyponormal, $p$-hyponormal entries 1109--1116 Andreas Arvanitoyeorgos Homogeneous geodesics in the flag manifold $\mathrm{SO}(2 l + 1) / \mathrm{U}(l - m) \times \mathrm{SO} (2 m + 1)$ . . . . . . . . . . . . . . . . 1117--1126 Michael Z. Spivey and Andrew M. Zimmer Symmetric polynomials, Pascal matrices, and Stirling matrices . . . . . . . . . 1127--1134 Michael Peterson and Chris Monico $\mathbb{F}_2$ Lanczos revisited . . . . 1135--1150 Bamdad R. Yahaghi On simultaneous triangularization of collections of compact operators . . . . 1151--1168 Yuan Li The Moore--Penrose inverses of products and differences of projections in a $C^*$-algebra . . . . . . . . . . . . . 1169--1177 Oleg Chterental and Dragomir \vZ. D. okovi\'c On orthostochastic, unistochastic and qustochastic matrices . . . . . . . . . 1178--1201 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Yair Censor and James M. Galvin and Ying Xiao and Mark Langer Linear and nonlinear models and algorithms in intensity-modulated radiation therapy (IMRT) . . . . . . . . 1203--1206 Gabor T. Herman and Wei Chen A fast algorithm for solving a linear feasibility problem with application to intensity-modulated radiation therapy 1207--1217 Biao Qu and Naihua Xiu A new halfspace-relaxation projection method for the split feasibility problem 1218--1229 J. Tervo and M. Vauhkonen and E. Boman Optimal control model for radiation therapy inverse planning applying the Boltzmann transport equation . . . . . . 1230--1249 Alexander Scherrer and Karl-Heinz Küfer Accelerated IMRT plan optimization using the adaptive clustering method . . . . . 1250--1271 M. Ehrgott and A. Holder and J. Reese Beam selection in radiotherapy design 1272--1312 Andrzej Cegielski and Agnieszka Suchocka Incomplete alternating projection method for large inconsistent linear systems 1313--1324 B. Thorndyke and A. Koong and L. Xing Reducing respiratory motion artifacts in radionuclide imaging through retrospective stacking: A simulation study . . . . . . . . . . . . . . . . . 1325--1344 V. H. Clark and Y. Chen and J. Wilkens and J. R. Alaly and K. Zakaryan and J. O. Deasy IMRT treatment planning for prostate cancer using prioritized prescription optimization and mean-tail-dose functions . . . . . . . . . . . . . . . 1345--1364 Yin Zhang and Michael Merritt Dose-volume-based IMRT fluence optimization: A fast least-squares approach with differentiability . . . . 1365--1387 Philipp Süss and Karl-Heinz Küfer Balancing control and simplicity: A variable aggregation method in intensity modulated radiation therapy planning . . 1388--1405 Yair Censor and Adi Ben-Israel and Ying Xiao and James M. Galvin On linear infeasibility arising in intensity-modulated radiation therapy inverse planning . . . . . . . . . . . . 1406--1420 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Jia-Yu Shao and Ji-Ming Guo and Hai-Ying Shan The ordering of trees and connected graphs by algebraic connectivity . . . . 1421--1438 V. Nitica and I. Singer Contributions to max--min convex geometry. I: Segments . . . . . . . . . 1439--1459 M. Laura Arias and Gustavo Corach and M. Celeste Gonzalez Partial isometries in semi-Hilbertian spaces . . . . . . . . . . . . . . . . . 1460--1475 Polona Oblak Jordan forms for mutually annihilating nilpotent pairs . . . . . . . . . . . . 1476--1491 Vladimir Nikiforov A spectral condition for odd cycles in graphs . . . . . . . . . . . . . . . . . 1492--1498 L. Barri\`ere and F. Comellas and C. Dalfó and M. A. Fiol On the spectra of hypertrees . . . . . . 1499--1510 Stefan Bundfuss and Mirjam Dür Algorithmic copositivity detection by simplicial partition . . . . . . . . . . 1511--1523 Liliana Costa and C. M. da Fonseca and Enide Andrade Martins The diameter of the acyclic Birkhoff polytope . . . . . . . . . . . . . . . . 1524--1537 Yanling Shao and Yubin Gao Exponents of $2$-coloring of symmetric digraphs . . . . . . . . . . . . . . . . 1538--1550 Rong Huang Some inequalities for the Hadamard product and the Fan product of matrices 1551--1559 Ivan Oseledets The integral operator with logarithmic kernel has only one positive eigenvalue 1560--1564 Robert Grone and Russell Merris Indecomposable Laplacian integral graphs 1565--1570 Genjiu Xu and Theo S. H. Driessen and Hao Sun Matrix analysis for associated consistency in cooperative game theory 1571--1586 Hein van der Holst The maximum corank of graphs with a $2$-separation . . . . . . . . . . . . . 1587--1600 Jer-Shyong Lin and Cheng-Kai Liu Strong commutativity preserving maps on Lie ideals . . . . . . . . . . . . . . . 1601--1609 Xiaoling Zhang and Heping Zhang The Laplacian spectral radius of some bipartite graphs . . . . . . . . . . . . 1610--1619 K. P. Hadeler Quiescent phases and stability . . . . . 1620--1627 AIM Minimum Rank --- Special Graphs Work Group Zero forcing sets and the minimum rank of graphs . . . . . . . . . . . . . . . 1628--1648 Jianlian Cui and Jinchuan Hou Maps leaving functional values of operator products invariant . . . . . . 1649--1663 Adam Boocher and Bradley Froehle On generators of bounded ratios of minors for totally positive matrices . . 1664--1684 Yunjiang Jiang and Lon H. Mitchell and Sivaram K. Narayan Unitary matrix digraphs and minimum semidefinite rank . . . . . . . . . . . 1685--1695 G. R. Omidi The spectral characterization of graphs of index less than 2 with no path as a component . . . . . . . . . . . . . . . 1696--1705 Paolo Gibilisco and Daniele Imparato and Tommaso Isola A Robertson-type uncertainty principle and quantum Fisher information . . . . . 1706--1724 Beresford Parlett and Gilbert Strang Matrices with prescribed Ritz values . . 1725--1739 G. MacGillivray and S. Nasserasr and D. D. Olesky and P. van den Driessche Primitive digraphs with smallest large exponent . . . . . . . . . . . . . . . . 1740--1752 Yaokun Wu Invariant subspace, determinant and characteristic polynomials . . . . . . . 1753--1760 Swastik Kopparty and K. P. S. Bhaskara Rao The minimum rank problem: A counterexample . . . . . . . . . . . . . 1761--1765 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Yongdo Lim On Ando--Li--Mathias geometric mean equations . . . . . . . . . . . . . . . 1767--1777 Yoshio Takane and Haruo Yanai On ridge operators . . . . . . . . . . . 1778--1790 Pietro Aiena and Jesús R. Guillen and Pedro Peña Property $(w)$ for perturbations of polaroid operators . . . . . . . . . . . 1791--1802 Ren-Cang Li Vandermonde matrices with Chebyshev nodes . . . . . . . . . . . . . . . . . 1803--1832 Kyle Beauchamp and Remus Nicoara Orthogonal maximal abelian *-subalgebras of the $6 \times 6$ matrices . . . . . . 1833--1853 Dragan Stevanovi\'c and Mustapha Aouchiche and Pierre Hansen On the spectral radius of graphs with a given domination number . . . . . . . . 1854--1864 Slobodan K. Simi\'c and Zoran Stani\'c On the polynomial reconstruction of graphs whose vertex-deleted subgraphs have spectra bounded from below by $-2$ 1865--1873 P. Butkovi\vc Permuted max-algebraic eigenvector problem is NP-complete . . . . . . . . . 1874--1882 Driss Drissi A characterization of normal semigroups 1883--1885 Yaoping Hou and Tiangang Lei and Chingwah Woo On the sandpile group of the graph $K_3 \times C_n$ . . . . . . . . . . . . . . 1886--1898 J. I. Giribet and A. Maestripieri and F. Martínez Pería Shorting selfadjoint operators in Hilbert spaces . . . . . . . . . . . . . 1899--1911 Rui-pu Bai and Xiao-ling Wang and Wen-ying Xiao and Hong-wei An Structure of low dimensional $n$-Lie algebras over a field of characteristic 2 . . . . . . . . . . . . . . . . . . . 1912--1920 Boualem Rabta and Djamil A\"\issani Strong stability and perturbation bounds for discrete Markov chains . . . . . . . 1921--1927 E. Marques de Sá and Virgínia Santos On the extremal structure of least upper bound norms and their dual . . . . . . . 1928--1938 Chang-Pao Chen and Meng-Kuang Kuo and Kuo-Zhong Wang Lower bounds of Copson type for Nörlund matrices . . . . . . . . . . . . . . . . 1939--1948 Giovanni Sburlati On the parity of permanents of circulant matrices . . . . . . . . . . . . . . . . 1949--1955 Simon R. Blackburn and Igor E. Shparlinski On the average energy of circulant graphs . . . . . . . . . . . . . . . . . 1956--1963 Serkan Gugercin An iterative SVD--Krylov based method for model reduction of large-scale dynamical systems . . . . . . . . . . . 1964--1986 Jason J. Molitierno The spectral radius of submatrices of Laplacian matrices for graphs with cut vertices . . . . . . . . . . . . . . . . 1987--1999 Ludwig Elsner and P. van den Driessche Bounds for the Perron root using max eigenvalues . . . . . . . . . . . . . . 2000--2005 Klemen \vSivic On varieties of commuting triples . . . 2006--2029 Jimmie Lawson and Yongdo Lim $\Gamma$-Commuting triples of positive definite matrices and midpoint equations on unitary matrices . . . . . . . . . . 2030--2039 Jian-Hong Wu Admissibility of linear estimators in multivariate linear models with respect to inequality constraints . . . . . . . 2040--2048 M. A. Freitag and A. Spence Rayleigh quotient iteration and simplified Jacobi--Davidson method with preconditioned iterative solves . . . . 2049--2060 S. W. Drury Symbolic calculus of operators with unit numerical radius . . . . . . . . . . . . 2061--2069 Jane Day and Wasin So Graph energy change due to edge deletion 2070--2078 Zi-zong Yan A unified version of Cauchy--Schwarz and Wielandt inequalities . . . . . . . . . 2079--2084 V. Nitica and I. Singer Contributions to max--min convex geometry. II: Semispaces and convex sets 2085--2115 Marek Niezgoda Some remarks on normal maps with applications to eigenvalues and singular values of matrices . . . . . . . . . . . 2116--2129 T. Bella and V. Olshevsky and U. Prasad Lipschitz stability of canonical Jordan bases of $H$-selfadjoint matrices under structure-preserving perturbations . . . 2130--2176 Rajendra Bhatia and Fuad Kittaneh The matrix arithmetic--geometric mean inequality revisited . . . . . . . . . . 2177--2191 Clara Jiménez-Gestal and José M. Pérez-Izquierdo Ternary derivations of finite-dimensional real division algebras . . . . . . . . . . . . . . . . 2192--2219 Hou-Biao Li and Ting-Zhu Huang and Hong Li Inclusion sets for singular values . . . 2220--2235 Yuncherl Choi and Hyuk Kim and Kyunghee Kim Abelian Hessian algebra and commutative Frobenius algebra . . . . . . . . . . . 2236--2258 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Vincent D. Blondel and Michael Karow and Vladimir Protassov and Fabian R. Wirth Special issue on the joint spectral radius: Theory, methods and applications 2259--2260 Vincent D. Blondel The birth of the joint spectral radius: An interview with Gilbert Strang . . . . 2261--2264 Nicola Guglielmi and Marino Zennaro An algorithm for finding extremal polytope norms of matrix families . . . 2265--2282 Raphaël M. Jungers and Vincent D. Blondel On the finiteness property for rational matrices . . . . . . . . . . . . . . . . 2283--2295 Raphaël M. Jungers and Vladimir Protasov and Vincent D. Blondel Efficient algorithms for deciding the type of growth of products of integer matrices . . . . . . . . . . . . . . . . 2296--2311 Aljo\vsa Peperko On the max version of the generalized spectral radius theorem . . . . . . . . 2312--2318 Yuan-Chuan Li and Mau-Hsiang Shih The normed finiteness property of compact contraction operators . . . . . 2319--2323 Mohsen Maesumi Optimal norms and the computation of joint spectral radius of matrices . . . 2324--2338 V. Yu. Protasov Extremal $L_p$-norms of linear operators and self-similar functions . . . . . . . 2339--2356 N. E. Barabanov Asymptotic behavior of extremal solutions and structure of extremal norms of linear differential inclusions of order three . . . . . . . . . . . . . 2357--2367 Elmar Plischke and Fabian Wirth Duality results for the joint spectral radius and transient behavior . . . . . 2368--2384 Pablo A. Parrilo and Ali Jadbabaie Approximation of the joint spectral radius using sum of squares . . . . . . 2385--2402 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Dianne P. O'Leary Gene Howard Golub, 1932--2007 . . . . . 2405--2409 Volker Mehrmann Ralph Byers 1955--2007 . . . . . . . . . 2410--2414 Willem H. Haemers and Xiaogang Liu and Yuanping Zhang Spectral characterizations of lollipop graphs . . . . . . . . . . . . . . . . . 2415--2423 Markus Bader Quivers, geometric invariant theory, and moduli of linear dynamical systems . . . 2424--2454 Sabine Le Borne Block computation and representation of a sparse nullspace basis of a rectangular matrix . . . . . . . . . . . 2455--2467 A. R. Moghaddamfar and S. Navid Salehy and S. Nima Salehy The determinants of matrices with recursive entries . . . . . . . . . . . 2468--2481 Werner Kratz and Markus Tentler Recursion formulae for the characteristic polynomial of symmetric banded matrices . . . . . . . . . . . . 2482--2500 J. Kiukas and J.-P. Pellonpää A note on infinite extreme correlation matrices . . . . . . . . . . . . . . . . 2501--2508 Chai Wah Wu On some properties of contracting matrices . . . . . . . . . . . . . . . . 2509--2523 Rong Huang Sign idempotent sign patterns similar to nonnegative sign patterns . . . . . . . 2524--2535 Froilán M. Dopico and Plamen Koev Bidiagonal decompositions of oscillating systems of vectors . . . . . . . . . . . 2536--2548 J. M. Peña Hierarchical open Leontief models . . . 2549--2559 Leslie Hogben Orthogonal representations, minimum rank, and graph complements . . . . . . 2560--2568 V. Nikiforov The energy of $C_4$-free graphs of bounded degree . . . . . . . . . . . . . 2569--2573 Alberto Borobia and Julio Moro and Ricardo L. Soto A unified view on compensation criteria in the real nonnegative inverse eigenvalue problem . . . . . . . . . . . 2574--2584 Ryan Hutchinson and Roxana Smarandache and Jochen Trumpf On superregular matrices and MDP convolutional codes . . . . . . . . . . 2585--2596 Jon Dattorro Equality relating Euclidean distance cone to positive semidefinite cone . . . 2597--2600 In-Jae Kim and Bryan L. Shader On Fiedler- and Parter-vertices of acyclic matrices . . . . . . . . . . . . 2601--2613 Kenneth W. Holladay Characteristic polynomials of distance matrices of one dimensional sets . . . . 2614--2638 Xianya Geng and Shuchao Li The spectral radius of tricyclic graphs with $n$ vertices and $k$ pendent vertices . . . . . . . . . . . . . . . . 2639--2653 Rosário Fernandes and Helena Gomes and Enide Andrade Martins On the spectra of some graphs like weighted rooted trees . . . . . . . . . 2654--2674 Pengtong Li and Fangyan Lu Jordan elementary operators on $\mathcal{J}$-subspace lattice algebras 2675--2687 Hasan Alnajjar and Brian Curtin A bilinear form for tridiagonal pairs of $q$-Serre type . . . . . . . . . . . . . 2688--2698 Yue Liu and Jia-Yu Shao and Chang-Xiang He On the boundaries of the determinantal regions of ray pattern matrices . . . . 2699--2707 Huiqing Liu and Mei Lu On the spectral radius of quasi-tree graphs . . . . . . . . . . . . . . . . . 2708--2714 William Calbeck Elliptic numerical ranges of $3 \times 3$ companion matrices . . . . . . . . . 2715--2722 Hao Liang and Yong-Liang Pan and Jian Wang The critical group of $K_m \times P_n$ 2723--2729 Haiyan Chen and Fuji Zhang The expected hitting times for finite Markov chains . . . . . . . . . . . . . 2730--2749 S. S. Dragomir New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces . . . . . . . . . . . . . . . . . 2750--2760 M. Alanelli and A. Hadjidimos A new iterative criterion for $H$-matrices: The reducible case . . . . 2761--2777 Peter Lancaster Model-updating for self-adjoint quadratic eigenvalue problems . . . . . 2778--2790 Sophie Hautphenne and Guy Latouche and Marie-Ange Remiche Newton's iteration for the extinction probability of a Markovian binary tree 2791--2804 G. A. Muñoz-Fernández and N. Palmberg and D. Puglisi and J. B. Seoane-Sepúlveda Lineability in subsets of measure and function spaces . . . . . . . . . . . . 2805--2812 Cristina Draper Models of the Lie algebra $F_4$ . . . . 2813--2839 Xi-Ying Yuan and Jia-Yu Shao and Yue Liu The minimal spectral radius of graphs of order $n$ with diameter $n - 4$ . . . . 2840--2851 Grigoris I. Kalogeropoulos and Athanasios D. Karageorgos and Athanasios A. Pantelous A stabilization criterion for matrix pencils under bilinear transformation 2852--2862 N. Bebiano and J. da Providência and R. Teixeira Flat portions on the boundary of the indefinite numerical range of $3 \times 3$ matrices . . . . . . . . . . . . . . 2863--2879 Guangxing Zeng A generalization of Stickelberger's theorem . . . . . . . . . . . . . . . . 2880--2887 Guang'ai Song and Yucai Su and Yuezhu Wu Quantization of generalized Virasoro-like algebras . . . . . . . . . 2888--2899 Zhong-Zhi Bai and Zeng-Qi Wang On parameterized inexact Uzawa methods for generalized saddle point problems 2900--2932 Rafael H. Villarreal Rees cones and monomial rings of matroids . . . . . . . . . . . . . . . . 2933--2940 Qingxiang Xu and Xiaoxia Hu Particular formulae for the Moore--Penrose inverses of the partitioned bounded linear operators . . 2941--2946 Alireza Abdollahi Commuting graphs of full matrix rings over finite fields . . . . . . . . . . . 2947--2954 A. Fernández Valles Common non-trivial invariant closed cones for commuting contractions . . . . 2955--2960 Oscar Rojo Spectra of weighted generalized Bethe trees joined at the root . . . . . . . . 2961--2979 S. S. Dragomir Inequalities for the numerical radius, the norm and the maximum of the real part of bounded linear operators in Hilbert spaces . . . . . . . . . . . . . 2980--2994 Hiroshi Nakazato and Natália Bebiano and João da Providência The $J$-numerical range of a $J$-Hermitian matrix and related inequalities . . . . . . . . . . . . . . 2995--3014 Anirban Banerjee and Jürgen Jost On the spectrum of the normalized graph Laplacian . . . . . . . . . . . . . . . 3015--3022 Junliang Wu and Limin Zou and Xiangping Chen and Shengjie Li The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra . . . . . . . . . . . . . . . . 3023--3033 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Qingxiang Xu Common hermitian and positive solutions to the adjointable operator equations $A X = C$, $X B = D$ . . . . . . . . . . . 1--11 Dayan Liu and Xiankun Du and Xiaosong Sun Quadratic linear Keller maps of nilpotency index three . . . . . . . . . 12--17 Jian-Hua Zhang and Fang-Juan Zhang Nonlinear maps preserving Lie products on factor von Neumann algebras . . . . . 18--30 Dietrich Burde and Karel Dekimpe and Kim Vercammen Novikov algebras and Novikov structures on Lie algebras . . . . . . . . . . . . 31--41 H. Faßbender and Kh. D. Ikramov A note on an unusual type of polar decomposition . . . . . . . . . . . . . 42--49 Norman C. Severo Matrices with convolutions of binomial functions and Krawtchouk matrices . . . 50--56 Wathiq Bani-Domi and Fuad Kittaneh Norm equalities and inequalities for operator matrices . . . . . . . . . . . 57--67 Immanuel M. Bomze Perron--Frobenius property of copositive matrices, and a block copositivity criterion . . . . . . . . . . . . . . . 68--71 Jongwoo Lee and Ki-Bong Nam Non-associative algebras containing the matrix ring . . . . . . . . . . . . . . 72--78 Kazumasa Nomura and Paul Terwilliger Sharp tridiagonal pairs . . . . . . . . 79--99 Gregor Dolinar and Shuanping Du and Jinchuan Hou and Peter Legi\vSa General preservers of invariant subspace lattices . . . . . . . . . . . . . . . . 100--109 Xuefeng Duan and Anping Liao and Bin Tang On the nonlinear matrix equation $X - \sum_{i = 1}^m A_i^* X^{\delta_i} A_i = Q$ . . . . . . . . . . . . . . . . . . . 110--121 Marija Dodig and Fernando C. Silva Controllability of series connections of arbitrarily many linear systems . . . . 122--141 Dorothy Wallace and Walker White Pseudoprime factorizations of integer matrices . . . . . . . . . . . . . . . . 142--155 R. Lipyanski Automorphisms of the endomorphism semigroups of free linear algebras of homogeneous varieties . . . . . . . . . 156--180 Meili Wang and Li Fang and Guoxing Ji Linear maps preserving idempotency of products or triple Jordan products of operators . . . . . . . . . . . . . . . 181--189 Jinchuan Hou and Meiyan Jiao Additive maps preserving Jordan zero-products on nest algebras . . . . . 190--208 Seok-Zun Song and Kyung-Tae Kang and LeRoy B. Beasley and Nung-Sing Sze Regular matrices and their strong preservers over semirings . . . . . . . 209--223 Eli Bagno and Yona Cherniavsky Sign balance for finite groups of Lie type . . . . . . . . . . . . . . . . . . 224--233 Francis K. Bell and Drago\vs Cvetkovi\'c and Peter Rowlinson and Slobodan K. Simi\'c Graphs for which the least eigenvalue is minimal, I . . . . . . . . . . . . . . . 234--241 Dragana S. Cvetkovi\'c-Ili\'c A note on the representation for the Drazin inverse of $2 \times 2$ block matrices . . . . . . . . . . . . . . . . 242--248 F. O. Farid On the deformation of linear $r$-fields 249--265 Y. Eidelman and I. Gohberg Out-of-band quasiseparable matrices . . 266--289 Alexandru Tupan On the similarity of dual operators . . 290--292 Bo Cheng and Bolian Liu Imprimitive matrices of zeros and ones with extremal numbers of ones . . . . . 293--301 Christoph Schmoeger Characterizations of some classes of relatively regular operators . . . . . . 302--310 C. de Boor and B. Shekhtman On the pointwise limits of bivariate Lagrange projectors . . . . . . . . . . 311--325 Thomas Strohmer A note on equiangular tight frames . . . 326--330 Götz E. Pfander On the invertibility of ``rectangular'' bi-infinite matrices and applications in time--frequency analysis . . . . . . . . 331--345 Albrecht Böttcher and Sergei M. Grudsky and Egor A. Maksimenko Pushing the envelope of the test functions in the Szeg\Ho and Avram--Parter theorems . . . . . . . . . 346--366 M. Abreu and D. Labbate and R. Salvi and N. Zagaglia Salvi Highly symmetric generalized circulant permutation matrices . . . . . . . . . . 367--375 Wen-ling Huang and Hans Havlicek Diameter preserving surjections in the geometry of matrices . . . . . . . . . . 376--386 Ricardo S. Leite and Nicolau C. Saldanha and Carlos Tomei An atlas for tridiagonal isospectral manifolds . . . . . . . . . . . . . . . 387--402 Melvin A. Vidar Tridiagonal pairs of shape (1,~2,~1) . . 403--428 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Francine F. Abeles Dodgson condensation: The historical and mathematical development of an experimental method . . . . . . . . . . 429--438 Kaishun Wang and Zengti Li Lattices associated with vector spaces over a finite field . . . . . . . . . . 439--446 Wojciech Tadej and Karol \.Zyczkowski Defect of a unitary matrix . . . . . . . 447--481 M. Asunción Beitia and Inmaculada de Hoyos and Ion Zaballa The change of similarity invariants under row perturbations: Generic cases 482--496 Guoxing Wu On upper bounds for the spectral variation of two regular matrix pairs 497--502 Kazumasa Nomura and Paul Terwilliger Towards a classification of the tridiagonal pairs . . . . . . . . . . . 503--518 S. G. Walker and P. Van Mieghem On lower bounds for the largest eigenvalue of a symmetric matrix . . . . 519--526 Zheng-Jian Bai and Shufang Xu An inexact Newton-type method for inverse singular value problems . . . . 527--547 Fernando De Terán and Froilán M. Dopico and Julio Moro First order spectral perturbation theory of square singular matrix pencils . . . 548--576 Yi-Zheng Fan and Yi Wang and Yu-Bin Gao Minimizing the least eigenvalues of unicyclic graphs with application to spectral spread . . . . . . . . . . . . 577--588 Alexander Chistov and Hervé Fournier and Pascal Koiran and Sylvain Perifel On the construction of a family of transversal subspaces over finite fields 589--600 Gerard J. Chang and Liang-Hao Huang and Hong-Gwa Yeh On the rank of a cograph . . . . . . . . 601--605 Naonori Kakimura Sign-solvable linear complementarity problems . . . . . . . . . . . . . . . . 606--616 A. Vera-López and J. M. Arregi and Leyre Ormaetxea and F. J. Vera-López The exact number of conjugacy classes of the Sylow $p$-subgroups of $\mathrm{GL}(n, q)$ modulo $(q - 1)^{13}$ . . . . . . . . . . . . . . . . 617--624 Hein van der Holst Three-connected graphs whose maximum nullity is at most three . . . . . . . . 625--632 Marija Dodig Matrix pencils completion problems II 633--648 Wen Li On the perturbation bound in unitarily invariant norms for subunitary polar factors . . . . . . . . . . . . . . . . 649--657 Fengying Huang and Bolian Liu Exponents of a class of two-colored digraphs with two cycles . . . . . . . . 658--672 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Xuefeng Duan and Anping Liao On the existence of Hermitian positive definite solutions of the matrix equation $X^s + A^* X^{-t} A = Q$ . . . 673--687 Dongseok Kim and Hye Kyung Kim and Jaeun Lee Generalized characteristic polynomials of graph bundles . . . . . . . . . . . . 688--697 Hiroshi Nakazato and Natália Bebiano and João da Providência Product of diagonal entries of the unitary orbit of a $3$-by-$3$ normal matrix . . . . . . . . . . . . . . . . . 698--715 Hwa-Long Gau and Pei Yuan Wu Numerical ranges of nilpotent operators 716--726 Judith J. McDonald and Jeffrey Stuart Spectrally arbitrary ray patterns . . . 727--734 Bit-Shun Tam and Yi-Zheng Fan and Jun Zhou Unoriented Laplacian maximizing graphs are degree maximal . . . . . . . . . . . 735--758 Timur Oikhberg Products of projections in von Neumann algebras . . . . . . . . . . . . . . . . 759--775 Erik A. van Doorn and Philip K. Pollett Survival in a quasi-death process . . . 776--791 Jordan Dale Hill Standard identities for skew-symmetric matrices . . . . . . . . . . . . . . . . 792--803 Jun Zhu and Changping Xiong and Renyuan Zhang All-derivable points in the algebra of all upper triangular matrices . . . . . 804--818 Cristian Conde Geometric interpolation in symmetrically-normed ideals . . . . . . 819--834 Mikhail Chebotar On a problem by Beidar concerning the central closure . . . . . . . . . . . . 835--840 Byeong Moon Kim and Byung Chul Song and Woonjae Hwang Wielandt type theorem for Cartesian product of digraphs . . . . . . . . . . 841--848 Sean Daugherty The inertia of unicyclic graphs and the implications for closed-shells . . . . . 849--858 Pauliina Ilmonen and Pentti Haukkanen and Jorma K. Merikoski On eigenvalues of meet and join matrices associated with incidence functions . . 859--874 Charles R. Johnson and António Leal Duarte and Carlos M. Saiago The structure of matrices with a maximum multiplicity eigenvalue . . . . . . . . 875--886 Mikhail Chebotar and Peter \vSemrl Minimal locally linearly dependent spaces of operators . . . . . . . . . . 887--900 Roland Hildebrand Semidefinite descriptions of low-dimensional separable matrix cones 901--932 Carsten Elsner and Takao Komatsu On the residue classes of integer sequences satisfying a linear three term recurrence formula . . . . . . . . . . . 933--947 Li-Ping Huang and Zhuo-Jun Liu Erratum to ``Similarity reduction of matrix over a quaternion division ring'' [Linear Algebra Appl. 428 (2008) 765--780] . . . . . . . . . . . . . . . 948--948 Anonymous Lists of Editors . . . . . . . . . . . . ii--iii
Harm Bart and Jan Brandts and Paul Van Dooren and André Ran Preface to the 13th ILAS Conference Proceedings, Amsterdam 2006 . . . . . . 949--950 Mei Q. Chen and Michael Neumann and Naomi Shaked-Monderer Basic Soules matrices and their applications . . . . . . . . . . . . . . 951--971 Takayuki furuta Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation . . . . . . . . 972--980 Leiba Rodman Pairs of hermitian and skew-hermitian quaternionic matrices: Canonical forms and their applications . . . . . . . . . 981--1019 Ngoc-Diep Ho and Paul Van Dooren Non-negative matrix factorization with fixed row and column sums . . . . . . . 1020--1025 Xin-guo Liu and Wei-guo Wang and Yi-min Wei Continuity properties of the 1-inverse and perturbation bounds for the Drazin inverse . . . . . . . . . . . . . . . . 1026--1037 Jerzy K. Baksalary and Oskar Maria Baksalary and Xiaoji Liu and Götz Trenkler Further results on generalized and hypergeneralized projectors . . . . . . 1038--1050 Peter \vSemrl Commutativity preserving maps . . . . . 1051--1070 V. Cortés and J. M. Peña Decompositions of strictly sign regular matrices . . . . . . . . . . . . . . . . 1071--1081 Henrik Winkler and Harald Woracek On semibounded canonical systems . . . . 1082--1092 Thomas H. Pate On permanental compounds . . . . . . . . 1093--1101 Josep Clotet and M. Dolors Magret Dimension of orbits of linear time-invariant singular systems under restricted system equivalence . . . . . 1102--1113 D. Napp Avelli and H. L. Trentelman Algorithms for multidimensional spectral factorization and sum of squares . . . . 1114--1134 Jeffrey J. Hunter Variances of first passage times in a Markov chain with applications to mixing times . . . . . . . . . . . . . . . . . 1135--1162 Garret Sobczyk Geometric matrix algebra . . . . . . . . 1163--1173 Vakif Dzhafarov and Taner Büyükköro\=glu On nonsingularity of a polytope of matrices . . . . . . . . . . . . . . . . 1174--1183 Mehdi Radjabalipour and Bamdad R. Yahaghi On one-sided ideals of rings of continuous linear operators . . . . . . 1184--1190 Joan-Josep Climent and Victoria Herranz and Carmen Perea Linear system modelization of concatenated block and convolutional codes . . . . . . . . . . . . . . . . . 1191--1212 Roden J. A. David and David S. Watkins An inexact Krylov--Schur algorithm for the unitary eigenvalue problem . . . . . 1213--1228 Catherine Fraikin and Yurii Nesterov and Paul Van Dooren A gradient-type algorithm optimizing the coupling between matrices . . . . . . . 1229--1242 Yijia Tan On nilpotent matrices over antirings . . 1243--1253 Cristobald de Kerchove and L