Last update:
Fri Nov 10 10:21:18 MST 2023
Andrew B. Kutcherov and
Michail M. Makarov An approximate factorization method for
solving discrete elliptic problems on
stretched domains . . . . . . . . . . . 1--26
Gundolf Haase and
Ulrich Langer and
Arnd Meyer Domain decomposition preconditioners
with inexact subdomain solvers . . . . . 27--41
Ji\vrí Rohn An algorithm for finding a singular
matrix in an interval matrix . . . . . . 43--47
Hong Yuan Zha A Two-Way Chasing Scheme for Reducing a
Symmetric Arrowhead Matrix to
Tridiagonal Form . . . . . . . . . . . . 49--57
P. S. Vassilevski Preconditioning nonsymmetric and
indefinite finite element matrices . . . 59--76
Raymond H. Chan and
Tony F. Chan Circulant preconditioners for elliptic
problems . . . . . . . . . . . . . . . . 77--101
Josef Stoer A dual algorithm for solving degenerate
linearly constrained linear least
squares problems . . . . . . . . . . . . 103--131
Wolfgang Hackbusch A parallel conjugate gradient method . . 133--147
Christian H. Bischof and
Ping Tak Peter Tang Generalizing incremental condition
estimation . . . . . . . . . . . . . . . 149--163
Bo Kågström and
Paul Van Dooren A generalized state-space approach for
the additive decomposition of a transfer
matrix . . . . . . . . . . . . . . . . . 165--181
James R. Bunch Matrix properties of the Levinson and
Schur algorithms . . . . . . . . . . . . 183--198
V. N. Kublanovskaya Rank division ``algorithms and their
applications'' . . . . . . . . . . . . . 199--213
Yu. A. Kuznetsov A new parallel algebraic preconditioner 215--225
E. E. Tyrtyshnikov On symmetrizing preconditioners with low
rank updates . . . . . . . . . . . . . . 227--235
V. V. Voevodin Parallel software from the standpoint of
a mathematician . . . . . . . . . . . . 237--242
Beresford N. Parlett The rewards for maintaining
semi-orthogonality among Lanczos vectors 243--267
R. Beauwens Approximate factorizations with modified
$ S / P $ consistently ordered
$M$-factors . . . . . . . . . . . . . . 3--17
R. Beauwens and
Y. Notay and
B. Tombuyses $ S / P $ images of upper triangular $
{M} $-matrices . . . . . . . . . . . . . 19--31
Tony F. Chan and
Per Christian Hansen Low-rank revealing $ {QR} $
factorizations . . . . . . . . . . . . . 33--44
Rüdiger Weiss Properties of generalized conjugate
gradient methods . . . . . . . . . . . . 45--63
S. D. Margenov Upper bound of the constant in the
strengthened C.B.S. inequality for FEM
$2$D elasticity equations . . . . . . . 65--74
O. Axelsson and
P. S. Vassilevski Variable-step multilevel preconditioning
methods. I. Selfadjoint and positive
definite elliptic problems . . . . . . . 75--101
Radim Blaheta Displacement decomposition---incomplete
factorization preconditioning techniques
for linearly elasticity problems . . . . 107--128
Arnd Meyer The concept of special inner products
for deriving new conjugate gradient-like
solvers for nonsymmetric sparse linear
systems . . . . . . . . . . . . . . . . 129--139
Fu Ming Ma and
Tassilo Küpper Numerical calculation of invariant
manifolds for maps . . . . . . . . . . . 141--150
Daniel B. Szyld Equivalence of conditions for
convergence of iterative methods for
singular equations . . . . . . . . . . . 151--154
O. Axelsson and
L. Kolotilina Diagonally compensated reduction and
related preconditioning methods . . . . 155--177
I. E. Kaporin New convergence results and
preconditioning strategies for the
conjugate gradient method . . . . . . . 179--210
O. Axelsson and
M. Neytcheva Algebraic multilevel iteration method
for Stieltjes matrices . . . . . . . . . 213--236
Andrey Andreev and
Hussain Juboury On the convergence of difference schemes
for a heat conduction equation . . . . . 237--245
Achiya Dax A row relaxation method for large $ l
\sb p $ least norm problems . . . . . . 247--263
François Bonhoure and
Yves Dallery and
William J. Stewart On the use of periodicity properties for
the efficient numerical solution of
certain Markov chains . . . . . . . . . 265--286
Wayne Joubert and
Thomas Oppe Improved $ S S O R $ and incomplete
Cholesky solution of linear equations on
shared memory and distributed memory
parallel computers . . . . . . . . . . . 287--311
E. Spedicato and
Z. Chen and
N. Deng A class of difference ABS-type
algorithms for a nonlinear system of
equations . . . . . . . . . . . . . . . 313--329
R. E. Ewing and
R. D. Lazarov and
P. S. Vassilevski Local refinement techniques for elliptic
problems on cell-centered grids. II.
Optimal order two-grid iterative methods 337--368
H. A. van der Vorst and
C. Vuik GMRESR: a family of nested GMRES methods 369--386
Yousef Saad ILUT: a dual threshold incomplete $ {LU}
$ factorization . . . . . . . . . . . . 387--402
Roland W. Freund and
Marlis Hochbruck On the use of two $ Q M R $ algorithms
for solving singular systems and
applications in Markov chain modeling 403--420
Wayne Joubert On the convergence behavior of the
restarted GMRES algorithm for solving
nonsymmetric linear systems . . . . . . 427--447
Thomas A. Manteuffel and
James S. Otto On the roots of the orthogonal
polynomials and residual polynomials
associated with a conjugate gradient
method . . . . . . . . . . . . . . . . . 449--475
Xiao-Chuan Cai and
William D. Gropp and
David E. Keyes A Comparison of Some Domain
Decomposition and $ I L U $
Preconditioned Iterative Methods for
Nonsymmetric Elliptic Problems . . . . . 477--504
Yvan Notay DRIC: a dynamic version of the RIC
method . . . . . . . . . . . . . . . . . 511--532
Takumi Washio and
Ken Hayami Parallel block preconditioning based on
SSOR and MILU . . . . . . . . . . . . . 533--553
Carl F. Jagels and
Lothar Reichel A fast minimal residual algorithm for
shifted unitary matrices . . . . . . . . 555--570
Homer F. Walker and
Lu Zhou A simpler GMRES . . . . . . . . . . . . 571--581
Matthias Pester and
Sergej Rjasanow A parallel version of the preconditioned
conjugate gradient method for boundary
element equations . . . . . . . . . . . 1--16
Stefan A. Sauter On the stability of the incomplete
Cholesky decomposition for a singular
perturbed problem, where the coefficient
matrix is not an $ {M} $-matrix . . . . 17--28
Ali R. Ghavimi and
Alan J. Laub Backward Error, Sensitivity, and
Refinement of Computed Solutions of
Algebraic Riccati Equations . . . . . . 29--49
S. A. Kharchenko and
A. Yu. Yeremin Eigenvalue translation based
preconditioners for the $ {\rm GMRES}(k)
$ method . . . . . . . . . . . . . . . . 51--77
James R. Bunch Editorial: Dedicated to Beresford
Parlett and William Kahan . . . . . . . 85--85
Peter Arbenz and
Gene H. Golub Matrix shapes invariant under the
symmetric $ {QR} $ algorithm . . . . . . 87--93
Sabine Van Huffel and
Haesun Park Efficient reduction algorithms for
bordered band matrices . . . . . . . . . 95--113
Chris C. Paige and
Beresford N. Parlett and
Henk A. van der Vorst Approximate solutions and eigenvalue
bounds from Krylov subspaces . . . . . . 115--133
Ricardo D. Fierro and
James R. Bunch Orthogonal projection and total least
squares . . . . . . . . . . . . . . . . 135--153
Ludwig Elsner and
Chun Yang He and
Volker Mehrmann Minimization of the norm, the norm of
the inverse and the condition number of
a matrix by completion . . . . . . . . . 155--171
James W. Demmel and
Nicholas J. Higham and
Robert S. Schreiber Stability of block $ {LU} $
factorization . . . . . . . . . . . . . 173--190
Carlos F. Borges and
Ruggero Frezza and
William B. Gragg Some inverse eigenproblems for Jacobi
and arrow matrices . . . . . . . . . . . 195--203
Vladimir Druskin and
Leonid Knizhnerman Krylov subspace approximation of
eigenpairs and matrix functions in exact
and computer arithmetic . . . . . . . . 205--217
Zhaojun Bai Progress in the numerical solution of
the nonsymmetric eigenvalue problem . . 219--234
J. L. Nazareth Trust regions based on conic functions
in linear and nonlinear programming . . 235--241
Alan Edelman and
Walter F. Mascarenhas On Parlett's matrix norm inequality for
the Cholesky decomposition . . . . . . . 243--250
Ricardo D. Pantazis and
Daniel B. Szyld Regions of convergence of the Rayleigh
quotient iteration method . . . . . . . 251--269
Bertil Waldén and
Rune Karlson and
Ji Guang Sun Optimal backward perturbation bounds for
the linear least squares problem . . . . 271--286
G. W. Stewart On the solution of block Hessenberg
systems . . . . . . . . . . . . . . . . 287--296
Steve Batterson Dynamical analysis of numerical systems 297--310
Stephen T. Barnard and
Alex Pothen and
Horst Simon A spectral algorithm for envelope
reduction of sparse matrices . . . . . . 317--334
Andreas Frommer and
Bert Pohl A comparison result for multisplittings
and waveform relaxation methods . . . . 335--346
S. Margenov and
J. Maubach Optimal algebraic multilevel
preconditioning for local refinement
along a line . . . . . . . . . . . . . . 347--361
William J. Layton and
Patrick J. Rabier Peaceman--Rachford procedure and domain
decomposition for finite element
problems . . . . . . . . . . . . . . . . 363--393
Lori A. Freitag and
James M. Ortega The RSCG algorithm on distributed memory
architectures . . . . . . . . . . . . . 401--414
Paul Concus and
Paul Saylor A modified direct preconditioner for
indefinite symmetric Toeplitz systems 415--429
I. Marek Some remarks on the barrier lemma and $
\cal {K} $-monotonicity . . . . . . . . 431--445
Ivar Gustafsson and
Gunhild Lindskog Completely parallelizable
preconditioning methods . . . . . . . . 447--465
Owe Axelsson and
M. Makarov On a generalized conjugate gradient
orthogonal residual method . . . . . . . 467--479
Peter Oswald Multilevel preconditioners for
discretizations of the biharmonic
equation by rectangular finite elements 487--505
K. Vince Fernando and
Beresford N. Parlett Implicit Cholesky algorithms for
singular values and vectors of
triangular matrices . . . . . . . . . . 507--531
Tjalling J. Ypma A SAXPY formulation for plane rotations 533--541
Panayot S. Vassilevski and
Raytcho D. Lazarov Preconditioning mixed finite element
saddle-point elliptic problems . . . . . 1--20
Lina Hemmingsson Toeplitz preconditioners with block
structure for first-order PDEs . . . . . 21--44
Raymond H. Chan and
Michael K. Ng and
Robert J. Plemmons Generalization of Strang's
preconditioner with applications to
Toeplitz least squares problems . . . . 45--64
Matthias Pester and
Sergej Rjasanow A parallel preconditioned iterative
realization of the panel method in $3$D 65--80
L. Gr. Ixaru and
H. De Meyer and
G. Vanden Berghe and
M. Van Daele A Regularization Procedure for $
\sum^n_{i = 1} f_i(z_j) x_i = g(z_j) (j
= 1, 2, \ldots, n) $ . . . . . . . . . . 81--90
Boris N. Khoromskij On fast computations with the inverse to
harmonic potential operators via domain
decomposition . . . . . . . . . . . . . 91--111
Mark T. Jones and
Daniel B. Szyld Two-stage multisplitting methods with
overlapping blocks . . . . . . . . . . . 113--124
Roy Mathias Analysis of algorithms for
orthogonalizing products of unitary
matrices . . . . . . . . . . . . . . . . 125--145
B. Achchab and
J. F. Ma\^\itre Estimate of the constant in two
strengthened C.B.S. inequalities for
F.E.M. systems of $2$D elasticity:
application to multilevel methods and a
posteriori error estimators . . . . . . 147--159
Alois Ecker and
Walter Zulehner On the smoothing property of multigrid
methods in the non-symmetric case . . . 161--172
Xue-Rong Yong Short Communication: Two Properties of
Diagonally Dominant Matrices . . . . . . 173--177
Ivar Gustafsson and
Gunhild Lindskog Parallel Algorithms for Orthotropic
Problems . . . . . . . . . . . . . . . . 185--203
Zhiqiang Cai and
Chen-Yao G. Lai Convergence estimates of multilevel
additive and multiplicative algorithms
for non-symmetric and indefinite
problems . . . . . . . . . . . . . . . . 205--220
Xiao-Chuan Cai and
Yousef Saad Overlapping domain decomposition
algorithms for general sparse matrices 221--237
J. L. Nazareth and
Liqun Qi Globalization of Newton's method for
solving non-linear equations . . . . . . 239--249
Jitka K\vrí\vzková and
Petr Van\vek Two-level preconditioner with small
coarse grid appropriate for unstructured
meshes . . . . . . . . . . . . . . . . . 255--274
P. R. Amestoy and
I. S. Duff and
C. Puglisi Multifrontal $ Q R $ Factorization in a
Multiprocessor Environment . . . . . . . 275--300
Michael W. Berry and
Ricardo D. Fierro Low-rank orthogonal decompositions for
information retrieval applications . . . 301--327
Yousef Saad and
Kesheng Wu DQGMRES: a direct quasi-minimal residual
algorithm based on incomplete
orthogonalization . . . . . . . . . . . 329--343
Owe Axelsson Editorial . . . . . . . . . . . . . . . 349--350
Gerhard Starke Multilevel minimal residual methods for
nonsymmetric elliptic problems . . . . . 351--367
Arnold Reusken A multigrid method based on incomplete
Gaussian elimination . . . . . . . . . . 369--390
P. J. J. Ferket The finite difference based fast
adaptive composite grid method . . . . . 391--411
Violeta Migallón and
José Penadés and
Daniel B. Szyld Block two-stage methods for singular
systems and Markov chains . . . . . . . 413--426
Zhangxin Chen and
Richard E. Ewing and
Raytcho D. Lazarov and
Serguei Maliassov and
Yuri A. Kuznetsov Multilevel preconditioners for mixed
methods for second order elliptic
problems . . . . . . . . . . . . . . . . 427--453
René Escalante and
Marcos Raydan Dykstra's algorithm for a constrained
least-squares matrix problem . . . . . . 459--471
C. G. Broyden and
M. A. Boschetti A comparison of three basic conjugate
direction methods . . . . . . . . . . . 473--489
Zhongxiao Jia On IOM$ (q) $: The Incomplete
Orthogonalization Method for Large
Unsymmetric Linear Systems . . . . . . . 491--512
Per Christian Hansen and
Klaus Mosegaard Piecewise polynomial solutions without a
priori break points . . . . . . . . . . 513--524
Ji\vrí Mary\vska and
Miroslav Rozlo\vzník and
Miroslav T\ocircuma The potential fluid flow problem and the
convergence rate of the minimal residual
method . . . . . . . . . . . . . . . . . 525--542
Hua Dai and
Peter Lancaster Newton's method for a generalized
inverse eigenvalue problem . . . . . . . 1--21
C.-S. Chien and
Z.-L. Weng and
C.-L. Shen Lanczos-type methods for continuation
problems . . . . . . . . . . . . . . . . 23--41
Andrew Chapman and
Yousef Saad Deflated and augmented Krylov subspace
techniques . . . . . . . . . . . . . . . 43--66
Luca Bergamaschi and
Giuseppe Gambolati and
Giorgio Pini Asymptotic convergence of conjugate
gradient methods for the partial
symmetric eigenproblem . . . . . . . . . 69--84
Wolfgang Hackbusch and
Thomas Probst Downwind Gauss--Seidel smoothing for
convection dominated problems . . . . . 85--102
Panayot S. Vassilevski and
Junping Wang Stabilizing the hierarchical basis by
approximate wavelets. I. Theory . . . . 103--126
Ulrich Langer Editorial . . . . . . . . . . . . . . . 131--131
Owe Axelsson and
Radim Blaheta and
Roman Kohut Inexact Newton solvers in plasticity:
theory and experiments . . . . . . . . . 133--152
Peter Bastian and
Stefan Lang and
Knut Eckstein Parallel adaptive multigrid methods in
plane linear elasticity problems . . . . 153--176
Carsten Carstensen Domain decomposition for a non-smooth
convex minimization problem and its
application to plasticity . . . . . . . 177--190
Weimin Han and
Sòren Jensen and
B. Daya Reddy Numerical approximations of problems in
plasticity: error analysis and solution
algorithms . . . . . . . . . . . . . . . 191--204
Arnd Meyer and
Detlef Michael A modern approach to the solution of
problems of classic elastoplasticity on
parallel computers . . . . . . . . . . . 205--221
S. Meynen and
A. Boersma and
P. Wriggers Application of a parallel algebraic
multigrid method for the solution of
elastoplastic shell problems . . . . . . 223--238
H.-J. Payer and
H. A. Mang Iterative strategies for solving systems
of linear, algebraic equations arising
in $3$D BE-FE analyses of tunnel
drivings . . . . . . . . . . . . . . . . 239--268
S. A. Goreinov and
E. E. Tyrtyshnikov and
A. Yu. Yeremin Matrix-free iterative solution
strategies for large dense linear
systems . . . . . . . . . . . . . . . . 273--294
James W. Longley and
Roger D. Longley Accuracy of Gram--Schmidt
orthogonalization and Householder
transformation for the solution of
linear least squares problems . . . . . 295--303
Roger B. Sidje Alternatives for parallel Krylov
subspace basis computation . . . . . . . 305--331
K. Gustafson Operator trigonometry of iterative
methods . . . . . . . . . . . . . . . . 333--347
Raymond H. Chan and
C. K. Wong Sine transform based preconditioners for
elliptic problems . . . . . . . . . . . 351--368
Yvan Notay and
Zakaria Ould Amar A nearly optimal preconditioning based
on recursive red-black orderings . . . . 369--391
F. A. Gruzinov and
L. Yu. Kolotilina and
A. Yu. Yeremin Block SSOR preconditionings for
high-order $3$D FE systems. III.
Incomplete BSSOR preconditionings based
on $p$-partitionings . . . . . . . . . . 393--423
Yu-Ling Lai and
Kun-Yi Lin and
Wen-Wei Lin An inexact inverse iteration for large
sparse eigenvalue problems . . . . . . . 425--437
Reinhard Nabben Book Review: Matrices of Sign-Solvable
Linear Systems by R. A. Brualdi and B.
L. Shader. Cambridge University Press,
1995, Cambridge, ISBN: 0-521-48296-8
(hardback). Price UK\pounds30.00
(US\$49.95)} . . . . . . . . . . . . . . 439--440
W. Govaerts and
B. Sijnave Rank-deficient matrices as a
computational tool . . . . . . . . . . . 443--458
Fermin S. V. Bazán and
Licio H. Bezerra On zero locations of predictor
polynomials . . . . . . . . . . . . . . 459--468
V. Simoncini and
E. Sjöström An algorithm for approximating the
singular triplets of complex symmetric
matrices . . . . . . . . . . . . . . . . 469--489
Chen-Yao G. Lai Short Communication: a note on optimal
hybrid $V$-cycle multilevel algorithms
for mixed finite element systems with
penalty term . . . . . . . . . . . . . . 491--498
Valérie Frayssé and
Vincent Toumazou A note on the normwise perturbation
theory for the regular generalized
eigenproblem . . . . . . . . . . . . . . 1--10
R. A. Renaut A parallel multisplitting solution of
the least squares problem . . . . . . . 11--31
Ronald B. Morgan and
Min Zeng Harmonic projection methods for large
non-symmetric eigenvalue problems . . . 33--55
Thomas K. Huckle Efficient computation of sparse
approximate inverses . . . . . . . . . . 57--71
Achiya Dax and
Lars Eldén Approximating minimum norm solutions of
rank-deficient least squares problems 79--99
Kevin Burrage and
Jocelyne Erhel On the performance of various adaptive
preconditioned GMRES strategies . . . . 101--121
Ivar Gustafsson and
Gunhild Lindskog On parallel solution of linear
elasticity problems: Part I: theory . . 123--139
Zbigniew Leyk and
Henryk Wo\'zniakowski Estimating a largest eigenvector by
Lanczos and polynomial algorithms with a
random start . . . . . . . . . . . . . . 147--164
Yair Shapira Analysis of matrix-dependent multigrid
algorithms . . . . . . . . . . . . . . . 165--202 (or 165--201??)
Sergej Rjasanow The structure of the boundary element
matrix for the three-dimensional
Dirichlet problem in elasticity . . . . 203--217
Ladislav Luk\vsan and
Jan Vl\vcek Indefinitely preconditioned inexact
Newton method for large sparse equality
constrained non-linear programming
problems . . . . . . . . . . . . . . . . 219--247
Ivo Marek and
Petr Mayer Convergence analysis of an iterative
aggregation/disaggregation method for
computing stationary probability vectors
of stochastic matrices . . . . . . . . . 253--274
Maria Sosonkina and
Layne T. Watson and
Rakesh K. Kapania and
Homer F. Walker A new adaptive GMRES algorithm for
achieving high accuracy . . . . . . . . 275--297
Rafael Bru and
Rafael Cantó and
Joan-Josep Climent On $M$-multisplittings of singular
$M$-matrices with application to Markov
chains . . . . . . . . . . . . . . . . . 299--311
Owe Axelsson Preconditioned solution methods for
large scale problems in scientific
computations PRISM '97 . . . . . . . . . 319--319
Torgeir Rusten and
Panayot S. Vassilevski and
Ragnar Winther Domain embedding preconditioners for
mixed systems . . . . . . . . . . . . . 321--345
Svetozar D. Margenov Semi-coarsening AMLI algorithms for
elasticity problems . . . . . . . . . . 347--362
J. Noordmans and
P. W. Hemker Convergence results for 3D sparse grid
approaches . . . . . . . . . . . . . . . 363--376
Karl Gustafson Operator trigonometry of the model
problem . . . . . . . . . . . . . . . . 377--399
Michael Thess Parallel multilevel preconditioners for
thin smooth shell finite element
analysis . . . . . . . . . . . . . . . . 401--440
Yvan Notay Optimal $V$-cycle algebraic multilevel
preconditioning . . . . . . . . . . . . 441--459
María Mendoza and
Marcos Raydan and
Pablo Tarazaga Computing the nearest diagonally
dominant matrix . . . . . . . . . . . . 461--474
William Glunt and
Thomas L. Hayden and
Robert Reams The nearest ``doubly stochastic'' matrix
to a real matrix with the same first
moment . . . . . . . . . . . . . . . . . 475--482
Igor E. Kaporin High quality preconditioning of a
general symmetric positive definite
matrix based on its $ U^{\sf T}U +
U^{\sf T}R + R^{\sf T}U $-decomposition 483--509
Ronold W. Freund and
Ivo Marek Czech-US workshop on iterative methods
and parallel computing . . . . . . . . . 1--1
Peter Arbenz and
Roman Geus A comparison of solvers for large
eigenvalue problems occurring in the
design of resonant cavities . . . . . . 3--16
Jan Cihlá\vr and
Philippe Angot Numerical solution of Navier--Stokes
systems . . . . . . . . . . . . . . . . 17--27
Christopher C. Paige and
Paul Van Dooren Sensitivity analysis of the Lanczos
reduction . . . . . . . . . . . . . . . 29--50
Tuomo Rossi and
Jari Toivanen Parallel fictitious domain method for a
non-linear elliptic Neumann boundary
value problem . . . . . . . . . . . . . 51--60
V. Simoncini A new variant of restarted GMRES . . . . 61--77
Josep Arnal and
Violeta Migallón and
José Penadés Non-stationary parallel multisplitting
algorithms for almost linear systems . . 79--92
Joan-Josep Climent and
Carmen Perea Convergence and comparison theorems for
multisplittings . . . . . . . . . . . . 93--107
Zden\vek Dostál On preconditioning and penalized
matrices . . . . . . . . . . . . . . . . 109--114
Manfred Dobrowolski Finite element methods for elliptic
systems with constraints . . . . . . . . 115--124
Martin J. Gander A waveform relaxation algorithm with
overlapping splitting for reaction
diffusion equations . . . . . . . . . . 125--145
Michal K\vrí\vzek and
Liping Liu and
Pekka Neittaanmäki Post-processing of Gauss--Seidel
iterations . . . . . . . . . . . . . . . 147--156
Uwe Schrader Convergence of asynchronous
Jacobi-Newton-iterations . . . . . . . . 157--165
Alexander Padiy On a parallel multilevel solver for
linear elasticity problems . . . . . . . 171--188
Jennifer A. Scott A new row ordering strategy for frontal
solvers . . . . . . . . . . . . . . . . 189--211
Michel J. Daydé and
Jérôme P. Décamps and
Nicholas I. M. Gould Subspace-by-subspace preconditioners for
structured linear systems . . . . . . . 213--234
Menno Genseberger and
Gerard L. G. Sleijpen Alternative correction equations in the
Jacobi--Davidson method . . . . . . . . 235--253
Yousef Saad and
Jun Zhang Diagonal threshold techniques in robust
multi-level ILU preconditioners for
general sparse linear systems . . . . . 257--280
Serge Goossens and
Dirk Roose Ritz and harmonic Ritz values and the
convergence of FOM and GMRES . . . . . . 281--293
Jovan Stefanovski Generating equations approach for
quadratic matrix equations . . . . . . . 295--326
Jürgen Bey and
Arnold Reusken On the convergence of basic iterative
methods for convection-diffusion
equations . . . . . . . . . . . . . . . 329--352
Maxim A. Olshanskii An iterative solver for the Oseen
problem and numerical solution of
incompressible Navier--Stokes equations 353--378
Magolu monga Made and
Ben Polman Efficient planewise-like preconditioners
for solving $3$D problems . . . . . . . 379--406
Owe Axelsson Editorial: Special Issue: Iterative
solution methods for the elasticity
equations in mechanics and biomechanics
--- IMMB 98 . . . . . . . . . . . . . . 409--410
Ivan Hlavá\vcek Reliable solution of a Signorini contact
problem with friction . . . . . . . . . 411--434
Norbert Heuer and
Matthias Maischak and
Ernst P. Stephan Preconditioned minimum residual
iteration for the h-p version of the
coupled FEM/BEM with quasi-uniform
meshes . . . . . . . . . . . . . . . . . 435--456
Christian Wieners Multigrid methods for Prandtl-Reuss
plasticity . . . . . . . . . . . . . . . 457--478
Zhiqiang Cai and
Xiu Ye and
Huilong Zhang Least-squares finite element
approximations for the Reissner--Mindlin
plate . . . . . . . . . . . . . . . . . 479--496
Natalja Rakowsky The Schur complement method as a fast
parallel solver for elliptic partial
differential equations in oceanography 497--510
L. Yu. Kolotilina and
A. A. Nikishin and
A. Yu. Yeremin Factorized sparse approximate inverse
preconditionings. IV: Simple approaches
to rising efficiency . . . . . . . . . . 515--531
Tzanio V. Kolev and
Svetozar D. Margenov Two-level preconditioning of pure
displacement non-conforming FEM systems 533--555
J. Nedoma and
M. Barto\vs and
Z. Kest\vránek, Jr. and
J. Stehlík Numerical methods for constrained
optimization in $2$D and $3$D
biomechanics . . . . . . . . . . . . . . 557--586
I. O. Arushanian and
G. M. Kobelkov Implementation of a least-squares finite
element method for solving the Stokes
problem with a parameter . . . . . . . . 587--597
Patrick Le Tallec and
Marina Vidrascu Efficient solution of mechanical and
biomechanical problems by domain
decomposition . . . . . . . . . . . . . 599--616
Boris N. Khoromskij and
Gabriel Wittum Robust Schur complement method for
strongly anisotropic elliptic equations 621--653
Yair Shapira Model case analysis of an algebraic
multilevel method . . . . . . . . . . . 655--685
Igor Kaporin A practical algorithm for faster matrix
multiplication . . . . . . . . . . . . . 687--700
Christoph Pflaum Algebraic analysis of multigrid
algorithms . . . . . . . . . . . . . . . 701--728
Axel Klawonn and
Luca F. Pavarino A comparison of overlapping Schwarz
methods and block preconditioners for
saddle point problems . . . . . . . . . 1--25
Luca Bergamaschi and
Marco Vianello Efficient computation of the exponential
operator for large, sparse, symmetric
matrices . . . . . . . . . . . . . . . . 27--45
Mikael Adlers and
Åke Björck Matrix stretching for sparse least
squares problems . . . . . . . . . . . . 51--65
Yousef Saad Further analysis of minimum residual
iterations . . . . . . . . . . . . . . . 67--93
Luca Bergamaschi and
Giorgio Pini and
Flavio Sartoretto Approximate inverse preconditioning in
the parallel solution of sparse
eigenproblems . . . . . . . . . . . . . 99--116
Jan Zítko Generalization of convergence conditions
for a restarted GMRES . . . . . . . . . 117--131
Krassimira Vlachkova A Newton-type algorithm for solving an
extremal constrained interpolation
problem . . . . . . . . . . . . . . . . 133--146
Alan L. Andrew and
Roger C. E. Tan Iterative computation of derivatives of
repeated eigenvalues and the
corresponding eigenvectors . . . . . . . 151--167
Xiezhang Li Comparison between the convergence rates
of the Chebyshev method and the related
$ (2, 2) $-step methods . . . . . . . . 169--180
Mårten Gulliksson and
Per-Åke Wedin Perturbation theory for generalized and
constrained linear least squares . . . . 181--195
Owe Axelsson and
Andrey Kucherov Real valued iterative methods for
solving complex symmetric linear systems 197--218
Denis Vanderstraeten An accurate parallel block Gram--Schmidt
algorithm without reorthogonalization 219--236
Y. van Notay A robust algebraic multilevel
preconditioner for non-symmetric
$M$-matrices . . . . . . . . . . . . . . 243--267
Khakim D. Ikramov and
Andrey B. Kucherov Bounding the growth factor in Gaussian
elimination for Buckley's class of
complex symmetric matrices . . . . . . . 269--274
P. Amodio and
J. R. Cash and
G. Roussos and
R. W. Wright and
G. Fairweather and
I. Gladwell and
G. L. Kraut and
M. Paprzycki Almost block diagonal linear systems:
sequential and parallel solution
techniques, and applications . . . . . . 275--317
Luca Gemignani Efficient and stable solution of
structured Hessenberg linear systems
arising from difference equations . . . 319--335
F. Chaitin-Chatelin and
S. Gratton On the condition numbers associated with
the polar factorization of a matrix . . 337--354
Ivo Marek Guest Editorial: Numerical linear
algebra methods for computational fluid
flow problems . . . . . . . . . . . . . 361--361
R. Becker and
M. Braack Multigrid techniques for finite elements
on locally refined meshes . . . . . . . 363--379
J. W. He and
R. Glowinski Steady Bingham fluid flow in cylindrical
pipes: a time dependent approach to the
iterative solution . . . . . . . . . . . 381--428
J. van Kan and
C. Vuik and
P. Wesseling Fast pressure calculation for $2$D and
$3$D time dependent incompressible flow 429--447
G. Lube and
L. Müller and
H. Müller A new non-overlapping domain
decomposition method for stabilized
finite element methods applied to the
non-stationary Navier--Stokes equations 449--472
S. Turek CFD for incompressible flow: numerical
efficiency versus gigaflops . . . . . . 473--482
Yousef Saad Editorial . . . . . . . . . . . . . . . 489--490
Daniel Boley and
Todd Goehring LQ-Schur projection on large sparse
matrix equations . . . . . . . . . . . . 491--503
Martin J. Gander and
Frédéric Nataf AILU: a preconditioner based on the
analytic factorization of the elliptic
operator . . . . . . . . . . . . . . . . 505--526
L. Grosz Preconditioning by incomplete block
elimination . . . . . . . . . . . . . . 527--541
L. Yu. Kolotilina and
A. A. Nikishin and
A. Yu. Yeremin An incomplete $ L U $-factorization
algorithm based on block bordering . . . 543--567
Kentaro Moriya and
Takashi Nodera The DEFLATED-GMRES$ (m, k) $ method with
switching the restart frequency
dynamically . . . . . . . . . . . . . . 569--584
I. Perugia and
V. Simoncini Block-diagonal and indefinite symmetric
preconditioners for mixed finite element
formulations . . . . . . . . . . . . . . 585--616
Menno E. Verbeek Repairing near-singularity for dense EMC
problems by adaptive basis techniques 617--634
Achim Basermann Parallel block ILUT/ILDLT
preconditioning for sparse eigenproblems
and sparse linear systems . . . . . . . 635--648
C. W. Bomhof and
H. A. van der Vorst A parallel linear system solver for
circuit simulation problems . . . . . . 649--665
B. Carpentieri and
I. S. Duff and
L. Giraud Sparse pattern selection strategies for
robust Frobenius-norm minimization
preconditioners in electromagnetism . . 667--685
Charbel Farhat and
Michael Lesoinne and
Kendall Pierson A scalable dual-primal domain
decomposition method . . . . . . . . . . 687--714
Bill Poirier Efficient preconditioning scheme for
block partitioned matrices with
structured sparsity . . . . . . . . . . 715--726
Wing Lok Wan Interface preserving coarsening
multigrid for elliptic problems with
highly discontinuous coefficients . . . 727--742
Maria Sosonkina and
John T. Melson and
Yousef Saad and
Layne T. Watson Preconditioning strategies for linear
systems arising in tire design . . . . . 743--757
J. K. Reid and
J. A. Scott Reversing the row order for the
row-by-row frontal method . . . . . . . 1--6
Nicola Mastronardi and
Shivkumar Chandrasekaran and
Sabine Van Huffel Fast and stable two-way algorithm for
diagonal plus semi-separable systems of
linear equations . . . . . . . . . . . . 7--12
Raytcho D. Lazarov and
Joseph E. Pasciak and
Panayot S. Vassilevski Iterative solution of a coupled mixed
and standard Galerkin discretization
method for elliptic problems . . . . . . 13--31
K. Meerbergen Changing poles in the rational Lanczos
method for the Hermitian eigenvalue
problem . . . . . . . . . . . . . . . . 33--52
William R. Ferng and
Wen-Wei Lin and
Daniel J. Pierce and
Chern-Shuh Wang Nonequivalence transformation of $
\lambda $-matrix eigenproblems and model
embedding approach to model tuning . . . 53--70
Anthony T. Chronopoulos and
David Kincaid On the Odir iterative method for
non-symmetric indefinite linear systems 71--82
Raymond H. Chan and
Daniel Potts and
Gabriele Steidl Preconditioners for non-Hermitian
Toeplitz systems . . . . . . . . . . . . 83--98
Qing Fang and
Tetsuro Yamamoto Superconvergence of finite difference
approximations for convection-diffusion
problems . . . . . . . . . . . . . . . . 99--110
D. Bertaccini Reliable preconditioned iterative linear
solvers for some numerical integrators 111--125
Dá\vsa Janovská and
Gerhard Opfer A note on hyperbolic transformations . . 127--146
Gabriel N. Gatica and
Norbert Heuer Minimum residual iteration for a
dual-dual mixed formulation of exterior
transmission problems . . . . . . . . . 147--164
S. A. Kharchenko and
L. Yu. Kolotilina and
A. A. Nikishin and
A. Yu. Yeremin A robust AINV-type method for
constructing sparse approximate inverse
preconditioners in factored form . . . . 165--179
Wen Li and
W. Sun and
K. Liu Parallel multisplitting iterative
methods for singular $M$-matrices . . . 181--190
B. Achchab and
O. Axelsson and
L. Laayouni and
A. Souissi Strengthened Cauchy-Bunyakowski-Schwarz
inequality for a three-dimensional
elasticity system . . . . . . . . . . . 191--205
L. M. Carvalho and
L. Giraud and
G. Meurant Local preconditioners for two-level
non-overlapping domain decomposition
methods . . . . . . . . . . . . . . . . 207--227
Lina Hemmingsson-Frändén and
Andrew Wathen A nearly optimal preconditioner for the
Navier--Stokes equations . . . . . . . . 229--243
Stephen J. Kirkland and
Michael Neumann and
Jianhong Xu A divide and conquer approach to
computing the mean first passage matrix
for Markov chains via Perron complement
reductions . . . . . . . . . . . . . . . 287--295
Gene H. Golub and
Ahmed H. Sameh and
Vivek Sarin A parallel balance scheme for banded
linear systems . . . . . . . . . . . . . 297--316
L. Dieci and
M. J. Friedman Continuation of invariant subspaces . . 317--327
V. A. Garanzha Barrier variational generation of
quasi-isometric grids . . . . . . . . . 329--353
Biswa Nath Datta Preface for the special issue on
numerical linear algebra techniques for
control and signal processing . . . . . 355--356
Peter Benner and
Ralph Byers Evaluating products of matrix pencils
and collapsing matrix products . . . . . 357--380
Erik Elmroth and
Pedher Johansson and
Bo Kågström Computation and presentation of graphs
displaying closure hierarchies of Jordan
and Kronecker structures . . . . . . . . 381--399
Vadim Olshevsky and
Michael Stewart Stable factorization for Hankel and
Hankel-like matrices . . . . . . . . . . 401--434
D. Calvetti and
B. Lewis and
L. Reichel On the solution of large
Sylvester-observer equations . . . . . . 435--451
J. R. Bunch and
R. C. Le Borne and
I. K. Proudler Analysis of the direct and indirect \em
a posteriori RLSL algorithm . . . . . . 453--466
A. H. Sayed and
T. Kailath A survey of spectral factorization
methods . . . . . . . . . . . . . . . . 467--496
Panayot Vassilevski and
Carol S. Woodward Special issue on Solution Methods for
Large-Scale Non-linear Problems . . . . 497--497
Dimitri J. Mavriplis Multigrid approaches to non-linear
diffusion problems on unstructured
meshes . . . . . . . . . . . . . . . . . 499--512
Beth Anne V. Bennett and
Mitchell D. Smooke The effect of overall discretization
scheme on Jacobian structure,
convergence rate, and solution accuracy
within the local rectangular refinement
method . . . . . . . . . . . . . . . . . 513--536
Sébastien Lacroix and
Yuri V. Vassilevski and
Mary F. Wheeler Decoupling preconditioners in the
implicit parallel accurate reservoir
simulator (IPARS) . . . . . . . . . . . 537--549
Ivan Yotov A multilevel Newton--Krylov interface
solver for multiphysics couplings of
flow in porous media . . . . . . . . . . 551--570
Tony F. Chan and
Ilya Sharapov Subspace correction multi-level methods
for elliptic eigenvalue problems . . . . 1--20
Y. Notay Combination of Jacobi--Davidson and
conjugate gradients for the partial
symmetric eigenproblem . . . . . . . . . 21--44
M. Magolu monga Made and
Henk A. van der Vorst Spectral analysis of parallel incomplete
factorizations with implicit
pseudo-overlap . . . . . . . . . . . . . 45--64
Juan C. Egaña and
Nelson M. Kuhl and
Luis C. Santos An inverse eigenvalue method for
frequency isolation in spring-mass
systems . . . . . . . . . . . . . . . . 65--79
Xiaojun Chen On convergence of SOR methods for
nonsmooth equations . . . . . . . . . . 81--92
Venansius Baryamureeba Solution of large-scale weighted
least-squares problems . . . . . . . . . 93--106
Alan George and
Khakim D. Ikramov and
Andrey B. Kucherov On the growth factor in Gaussian
elimination for generalized Higham
matrices . . . . . . . . . . . . . . . . 107--114
N. S. Bakhvalov and
A. V. Knyazev and
R. R. Parashkevov Extension theorems for Stokes and Lamé
equations for nearly incompressible
media and their applications to
numerical solution of problems with
highly discontinuous coefficients . . . 115--139
Igor E. Kaporin and
Igor N. Konshin A parallel block overlap preconditioning
with inexact submatrix inversion for
linear elasticity problems . . . . . . . 141--162
Jasper van den Eshof The convergence of Jacobi--Davidson
iterations for Hermitian eigenproblems 163--179
Michel Leblond $H$-self-adjoint matrices. Application
to radiosity . . . . . . . . . . . . . . 181--193
Yixun Shi A combination of potential reduction
steps and steepest descent steps for
solving convex programming problems . . 195--203
I. Gustafsson and
G. Lindskog On parallel solution of linear
elasticity problems. Part II: Methods
and some computer experiments . . . . . 205--221
S. Reitzinger and
J. Schöberl An algebraic multigrid method for finite
element discretizations with edge
elements . . . . . . . . . . . . . . . . 223--238
G. Montero and
L. González and
E. Flórez and
M. D. García and
A. Suárez Approximate inverse computation using
Frobenius inner product . . . . . . . . 239--247
J. H. Brandts Matlab code for sorting real Schur forms 249--261
Klaus Neymeyr A posteriori error estimation for
elliptic eigenproblems . . . . . . . . . 263--279
W. Hackbusch and
B. N. Khoromskij Blended kernel approximation in the $
\mathcal {H} $-matrix techniques . . . . 281--304
Dario Fasino and
Luca Gemignani A Lanczos-type algorithm for the $ Q R $
factorization of regular Cauchy matrices 305--319
P. Lemmerling and
S. Van Huffel and
B. De Moor The structured total least-squares
approach for non-linearly structured
matrices . . . . . . . . . . . . . . . . 321--332
Marcos Raydan and
Pablo Tarazaga Primal and polar approach for computing
the symmetric diagonally dominant
projection . . . . . . . . . . . . . . . 333--345
Peter Blomgren and
Tony F. Chan Modular solvers for image restoration
problems using the discrepancy principle 347--358
Y. Saad and
B. Suchomel ARMS: an algebraic recursive multilevel
solver for general sparse linear systems 359--378
Xiao-Chuan Cai and
Jun Zou Some observations on the l 2 convergence
of the additive Schwarz preconditioned
GMRES method . . . . . . . . . . . . . . 379--397
Owe Axelsson Preface . . . . . . . . . . . . . . . . 399--400
I. E. Kaporin Using the modified 2nd order incomplete
Cholesky decomposition as the conjugate
gradient preconditioning . . . . . . . . 401--408
Y. Notay Robust parameter-free algebraic
multilevel preconditioning . . . . . . . 409--428
Panayot S. Vassilevski Sparse matrix element topology with
application to AMG(e) and
preconditioning . . . . . . . . . . . . 429--444
Zhiqiang Cai and
Seokchan Kim and
Gyungsoo Woo A finite element method using singular
functions for the Poisson equation:
crack singularities . . . . . . . . . . 445--455
Stephan Dahlke Besov regularity of edge singularities
for the Poisson equation in polyhedral
domains . . . . . . . . . . . . . . . . 457--466
A. Dimitrov and
E. Schnack Asymptotical expansion in
non-Lipschitzian domains --- a numerical
approach . . . . . . . . . . . . . . . . 467--492
V. A. Garanzha Maximum norm optimization of
quasi-isometric mappings . . . . . . . . 493--510
L. V. Branets and
V. A. Garanzha Distortion measure of trilinear mapping.
Application to 3-D grid generation . . . 511--526
Radim Blaheta GPCG-generalized preconditioned CG
method and its use with non-linear and
non-symmetric displacement decomposition
preconditioners . . . . . . . . . . . . 527--550
Ilghiz Ibraghimov Application of the three-way
decomposition for matrix compression . . 551--565
M. D. Mihajlovi and
S. Mijalkovi A component decomposition
preconditioning for 3D stress analysis
problems . . . . . . . . . . . . . . . . 567--583
O. Axelsson and
I. Faragó and
J. Karátson Sobolev space preconditioning for
Newton's method using domain
decomposition . . . . . . . . . . . . . 585--598
J. K. Kraus An algebraic preconditioning method for
$M$-matrices: linear versus non-linear
multilevel iteration . . . . . . . . . . 599--618
Suliman S. Al-Homidan SQP algorithms for solving Toeplitz
matrix approximation problem . . . . . . 619--627
Janne Martikainen and
Tuomo Rossi and
Jari Toivanen A fast direct solver for elliptic
problems with a divergence constraint 629--652
Panayot S. Vassilevski On the occasion of the 60th birthday of
Raytcho Lazarov . . . . . . . . . . . . 1
Owe Axelsson and
Maya Neytcheva Preconditioning methods for linear
systems arising in constrained
optimization problems . . . . . . . . . 3--31
Constantin Bacuta and
James H. Bramble and
Joseph E. Pasciak Using finite element tools in proving
shift theorems for elliptic boundary
value problems . . . . . . . . . . . . . 33--64
M. Dryja and
W. Proskurowski On preconditioners for mortar
discretization of elliptic problems . . 65--82
Richard E. Ewing and
Junping Wang and
Yongjun Yang A stabilized discontinuous finite
element method for elliptic problems . . 83--104
Edmond Chow and
Panayot S. Vassilevski Multilevel block factorizations in
generalized hierarchical bases . . . . . 105--127
D. Y. Kwak and
S. V. Nepomnyaschikh and
H. C. Pyo Domain decomposition for model
heterogeneous anisotropic problem . . . 129--157
Gergina Pencheva and
Ivan Yotov Balancing domain decomposition for
mortar mixed finite element methods . . 159--180
HwanHo Kim and
Jinchao Xu and
Ludmil Zikatanov A multigrid method based on graph
matching for convection-diffusion
equations . . . . . . . . . . . . . . . 181--195
Helmut Harbrecht and
Freddy Paiva and
Cristian Pérez and
Reinhold Schneider Multiscale preconditioning for the
coupling of FEM-BEM . . . . . . . . . . 197--222
Dongxiu Xie and
Xiyan Hu and
Lei Zhang The solvability conditions for inverse
eigenproblem of symmetric and
anti-persymmetric matrices and its
approximation . . . . . . . . . . . . . 223--234
A. A. Nikishin and
A. Yu. Yeremin Prefiltration technique via aggregation
for constructing low-density
high-quality factorized sparse
approximate inverse preconditionings . . 235--246
P. Novati Solving linear initial value problems by
Faber polynomials . . . . . . . . . . . 247--270
Luca Bergamaschi and
Marco Caliari and
Marco Vianello Efficient approximation of the
exponential operator for discrete 2D
advection-diffusion problems . . . . . . 271--289
Karl Gustafson Operator trigonometry of
preconditioning, domain decomposition,
sparse approximate inverses, successive
overrelaxation, minimum residual schemes 291--315
J. M. Peña Simultaneous backward stability of Gauss
and Gauss--Jordan elimination . . . . . 317--321
Yu-Hong Dai and
José Mario Martínez and
Jin-Yun Yuan An increasing-angle property of the
conjugate gradient method and the
implementation of large-scale
minimization algorithms with line
searches . . . . . . . . . . . . . . . . 323--334
C.-S. Chien and
S.-L. Chang Application of the Lanczos algorithm for
solving the linear systems that occur in
continuation problems . . . . . . . . . 335--355
V. Simoncini Algebraic formulations for the solution
of the nullspace-free eigenvalue problem
using the inexact Shift-and-Invert
Lanczos method . . . . . . . . . . . . . 357--375
Süleyman Solak and
Durmu Bozkurt A note on bound for norms of
Cauchy--Hankel matrices . . . . . . . . 377--382
Esmond Ng and
Wei-Pai Tang Editorial . . . . . . . . . . . . . . . 383
Michele Benzi and
Miroslav T\ocircuma A robust incomplete factorization
preconditioner for positive definite
matrices . . . . . . . . . . . . . . . . 385--400
Edmond Chow An unstructured multigrid method based
on geometric smoothness . . . . . . . . 401--421
D. Loghin and
A. J. Wathen Schur complement preconditioning for
elliptic systems of partial differential
equations . . . . . . . . . . . . . . . 423--443
Jane K. Cullum and
Keith Johnson and
Miroslav T\ocircuma Effects of problem decomposition
(partitioning) on the rate of
convergence of parallel numerical
algorithms . . . . . . . . . . . . . . . 445--465
L. Giraud and
F. Guevara Vasquez and
R. S. Tuminaro Grid transfer operators for highly
variable coefficient problems in
two-level non-overlapping domain
decomposition methods . . . . . . . . . 467--484
Zhongze Li and
Yousef Saad and
Masha Sosonkina pARMS: a parallel version of the
algebraic recursive multilevel solver 485--509
Y. Achdou and
F. Nataf An iterated tangential filtering
decomposition . . . . . . . . . . . . . 511--539
Padma Raghavan and
Keita Teranishi and
Esmond G. Ng A latency tolerant hybrid sparse solver
using incomplete Cholesky factorization 541--560
Owe Axelsson Editorial . . . . . . . . . . . . . . . 561
Yimin Wei and
Xiezhang Li An improvement on perturbation bounds
for the Drazin inverse . . . . . . . . . 563--575
Erich Bohl and
Peter Lancaster Irreversible Markov processes for
phylogenetic models . . . . . . . . . . 577--593
Beresford N. Parlett The spectral diameter as a function of
the diagonal entries . . . . . . . . . . 595--602
Michael Neumann and
Jianhong Xu On the stability of the computation of
the stationary probabilities of Markov
chains using Perron complements . . . . 603--618
Radim Blaheta Nested tetrahedral grids and
strengthened C.B.S. inequality . . . . . 619--637
Jan Mandel and
Clark R. Dohrmann Convergence of a balancing domain
decomposition by constraints and energy
minimization . . . . . . . . . . . . . . 639--659
Xiaojun Chen and
Kouji Hashimoto Numerical validation of solutions of
saddle point matrix equations . . . . . 661--672
C. Durazzi and
V. Ruggiero Indefinitely preconditioned conjugate
gradient method for large sparse
equality and inequality constrained
quadratic problems . . . . . . . . . . . 673--688
András Farkas and
Peter Lancaster and
Pál Rózsa Consistency adjustments for pairwise
comparison matrices . . . . . . . . . . 689--700
Magdy Tawfik Hanna and
Sana Ahmed Mansoori A centrosymmetric matrix based technique
for the interpolation of a Hermitian
signal . . . . . . . . . . . . . . . . . 701--720
Sven Beuchler AMLI preconditioner for the $p$-version
of the FEM . . . . . . . . . . . . . . . 721--732
Zhi-Hao Cao Fast Uzawa algorithms for solving
non-symmetric stabilized saddle point
problems . . . . . . . . . . . . . . . . 1--24
Siu-Long Lei and
Xiao-Qing Jin BCCB preconditioners for systems of
BVM-based numerical integrators . . . . 25--40
Wen-Wei Lin and
Jenn-Nan Wang Partial pole assignment for the
vibrating system with aerodynamic effect 41--58
Zhen-yun Peng and
Xi-yan Hu and
Lei Zhang The inverse problem of bisymmetric
matrices with a submatrix constraint . . 59--73
Hongbin Guo and
Rosemary A. Renaut Estimation of $ u T(A) v $ for
large-scale unsymmetric matrices . . . . 75--89
Irad Yavneh Editorial . . . . . . . . . . . . . . . 91
F. J. Gaspar and
F. J. Lisbona and
C. W. Oosterlee and
R. Wienands A systematic comparison of coupled and
distributive smoothing in multigrid for
the poroelasticity system . . . . . . . 93--113
Travis M. Austin and
Thomas A. Manteuffel and
Steve McCormick A robust multilevel approach for
minimizing $H$(div)-dominated
functionals in an $ H^1 $-conforming
finite element space . . . . . . . . . . 115--140
Mark F. Adams Algebraic multigrid methods for
constrained linear systems with
applications to contact problems in
solid mechanics . . . . . . . . . . . . 141--153
Ulrike Meier Yang On the use of relaxation parameters in
hybrid smoothers . . . . . . . . . . . . 155--172
C. C. Douglas and
J. Hu and
J. Ray and
D. T. Thorne and
R. S. Tuminaro Cache aware multigrid for variable
coefficient elliptic problems on
adaptive mesh refinement hierarchies . . 173--187
Ana H. Iontcheva and
Panayot S. Vassilevski Monotone multigrid methods based on
element agglomeration coarsening away
from the contact boundary for the
Signorini's problem . . . . . . . . . . 189--204
O. E. Livne Coarsening by compatible relaxation . . 205--227
Irene Livshits An algebraic multigrid wave-ray
algorithm to solve eigenvalue problems
for the Helmholtz operator . . . . . . . 229--239
Gregory Dardyk and
Irad Yavneh A multigrid approach to two-dimensional
phase unwrapping . . . . . . . . . . . . 241--259
Maria Murillo and
Xiao-Chuan Cai A fully implicit parallel algorithm for
simulating the non-linear electrical
activity of the heart . . . . . . . . . 261--277
Benjamin Karl Bergen and
Frank Hülsemann Hierarchical hybrid grids: data
structures and core algorithms for
multigrid . . . . . . . . . . . . . . . 279--291
K. H. Leem and
S. Oliveira and
D. E. Stewart Algebraic multigrid (AMG) for saddle
point systems from meshfree
discretizations . . . . . . . . . . . . 293--308
Owe Axelsson Editorial . . . . . . . . . . . . . . . 411--412
R. H. W. Hoppe and
S. I. Petrova Primal-dual Newton interior point
methods in shape and topology
optimization . . . . . . . . . . . . . . 413--429
Ladislav Luk\vsan and
Ctirad Matonoha and
Jan Vl\vcek Interior-point method for non-linear
non-convex optimization . . . . . . . . 431--453
Zden\vek Dostál and
David Horák Scalable FETI with optimal dual penalty
for a variational inequality . . . . . . 455--472
P. W. Hemker and
W. Hoffmann and
M. H. van Raalte Fourier two-level analysis for
discontinuous Galerkin discretization
with linear elements . . . . . . . . . . 473--491
Axel Klawonn and
Gerhard Starke A preconditioner for the equations of
linear elasticity discretized by the
PEERS element . . . . . . . . . . . . . 493--510
C. Li and
C. Vuik Eigenvalue analysis of the SIMPLE
preconditioning for incompressible flow 511--523
V. Garanzha and
I. Kaporin and
I. Konshin Truncated Newton type solver with
application to grid untangling problem 525--533
V. A. Garanzha Variational principles in grid
generation and geometric modelling:
theoretical justifications and open
problems . . . . . . . . . . . . . . . . 535--563
G. Stoyan and
G. Strauber and
Á. Baran Generalizations to discrete and
analytical Crouzeix-Velte decompositions 565--590
Ivan Markovsky and
Sabine Van Huffel and
Alexander Kukush On the computation of the multivariate
structured total least squares estimator 591--608
M. Schuermans and
P. Lemmerling and
S. Van Huffel Structured weighted low rank
approximation . . . . . . . . . . . . . 609--618
Delin Chu On the computation of the infimum in
$H$-optimization . . . . . . . . . . . . 619--648
Karl Gustafson An inner product lemma . . . . . . . . . 649--659
Karl Gustafson Normal degree . . . . . . . . . . . . . 661--674
Achiya Dax Computing projections via Householder
transformations and Gram--Schmidt
orthogonalizations . . . . . . . . . . . 675--692
Esmond Ng and
Wei-Pai Tang Preface 2 Editorial comments . . . . . . 693
Erik G. Boman and
Doron Chen and
Bruce Hendrickson and
Sivan Toledo Maximum-weight-basis preconditioners . . 695--721
Amy N. Langville and
William J. Stewart A Kronecker product approximate
preconditioner for SANs . . . . . . . . 723--752
B. Carpentieri and
I. S. Duff and
L. Giraud and
M. Magolu monga Made Sparse symmetric preconditioners for
dense linear systems in electromagnetism 753--771
Chao Yang and
Esmond G. Ng and
Pawel A. Penczek Matrix-free constructions of circulant
and block circulant preconditioners . . 773--793
James S. Warsa and
Michele Benzi and
Todd A. Wareing and
Jim E. Morel Preconditioning a mixed discontinuous
finite element method for radiation
diffusion . . . . . . . . . . . . . . . 795--811
M. Magolu monga Made Performance of parallel incomplete LDL t
factorizations for solving acoustic wave
propagation problems from industry . . . 813--830
Kengo Nakajima and
Hiroshi Okuda Parallel iterative solvers with
selective blocking preconditioning for
simulations of fault-zone contact . . . 831--852
Dan I. Coroian Improved outer inverses for the
numerical solution of Euler--Lagrange
equations . . . . . . . . . . . . . . . 853--866
Serguei Ovtchinnikov and
Xiao-Chuan Cai One-level Newton--Krylov--Schwarz
algorithm for unsteady non-linear
radiation diffusion problem . . . . . . 867--881
Yixun Shi A projected-steepest-descent
potential-reduction algorithm for convex
programming problems . . . . . . . . . . 883--893
Klaus Neymeyr A note on Inverse Iteration . . . . . . 1--8
S. Salapaka and
A. Peirce and
M. Dahleh Analysis of a circulant based
preconditioner for a class of lower rank
extracted systems . . . . . . . . . . . 9--32
L. Giraud and
A. Marrocco and
J.-C. Rioual Iterative versus direct parallel
substructuring methods in semiconductor
device modelling . . . . . . . . . . . . 33--53
M. Ili\'c and
I. W. Turner Krylov subspaces and the analytic grade 55--76
Moody T. Chu and
Shu-fang Xu On computing minimal realizable spectral
radii of non-negative matrices . . . . . 77--86
Raymond Chan and
Wai-Ki Ching and
Franklin Luk and
Michael Ng Structured matrices with applications 87
Wen Li and
Weiwei Sun The perturbation bounds for eigenvalues
of normal matrices . . . . . . . . . . . 89--94
A. Böttcher and
S. M. Grudsky Structured condition numbers of large
Toeplitz matrices are rarely better than
usual condition numbers . . . . . . . . 95--102
Yimin Wei and
Michael K. Ng Displacement structure of group inverses 103--110
W. F. Trench Asymptotic relationships between
singular values of structured matrices
similarly generated by different formal
expansions of a rational function . . . 111--116
P. Amodio and
F. Iavernaro and
D. Trigiante Conservative perturbations of positive
definite Hamiltonian matrices . . . . . 117--125
D. Calvetti and
L. Reichel and
A. Shuibi Tikhonov regularization of large
symmetric problems . . . . . . . . . . . 127--139
G. Heinig and
K. Rost Split algorithms for symmetric Toeplitz
matrices with arbitrary rank profile . . 141--151
D. A. Huckaby and
T. F. Chan Stewart's pivoted QLP decomposition for
low-rank matrices . . . . . . . . . . . 153--159
Markus Fenn and
Daniel Potts Fast summation based on fast
trigonometric transforms at
non-equispaced nodes . . . . . . . . . . 161--169
P. Amodio and
F. Iavernaro and
D. Trigiante Symmetric schemes and Hamiltonian
perturbations of linear Hamiltonian
problems . . . . . . . . . . . . . . . . 171--179
Dario A. Bini and
Luca Gemignani Solving quadratic matrix equations and
factoring polynomials: new fixed point
iterations based on Schur complements of
Toeplitz matrices . . . . . . . . . . . 181--189
Lin-Zhang Lu Newton iterations for a non-symmetric
algebraic Riccati equation . . . . . . . 191--200
N. Mastronardi and
P. Lemmerling and
S. Van Huffel Fast regularized structured total least
squares algorithm for solving the basic
deconvolution problem . . . . . . . . . 201--209
Thomas Huckle and
Stefano Serra-Capizzano and
Cristina Tablino-Possio Preconditioning strategies for
non-Hermitian Toeplitz linear systems 211--220
Fu-Rong Lin and
Wai-Ki Ching Inverse Toeplitz preconditioners for
Hermitian Toeplitz systems . . . . . . . 221--229
D. Noutsos and
S. Serra Capizzano and
P. Vassalos A preconditioning proposal for
ill-conditioned Hermitian two-level
Toeplitz systems . . . . . . . . . . . . 231--239
R. H. Chan and
S. Serra-Capizzano and
C. Tablino-Possio Two-grid methods for banded linear
systems from DCT III algebra . . . . . . 241--249
Eugene Tyrtyshnikov Structured preconditioners for operator
equations . . . . . . . . . . . . . . . 251--259
Michael K. Ng and
Stefano Serra-Capizzano and
Cristina Tablino-Possio Numerical behaviour of multigrid methods
for symmetric Sinc--Galerkin systems . . 261--269
Wai-Ki Ching and
Michael K. Ng and
Kenton N. Sze and
Andy C. Yau Super-resolution image reconstruction
using multisensors . . . . . . . . . . . 271--281
Jinho Bae and
Joohwan Chun and
Thomas Kailath The Schur algorithm applied to the
design of optical multi-mirror
structures . . . . . . . . . . . . . . . 283--292
Jian-Yu Pan and
Zhong-Zhi Bai and
Michael K. Ng Two-step waveform relaxation methods for
implicit linear initial value problems 293--304
Luigi Brugnano and
Cecilia Magherini Some linear algebra issues concerning
the implementation of blended implicit
methods . . . . . . . . . . . . . . . . 305--314
Daniele Bertaccini and
Youwei Wen and
Michael K. Ng The eigenvalues of preconditioned
matrices for linear multistep formulas
in boundary value form . . . . . . . . . 315--325
Xiao-Qing Jin and
Siu-Long Lei and
Yi-Min Wei Circulant preconditioners for solving
singular perturbation delay differential
equations . . . . . . . . . . . . . . . 327--336
I. Moret and
P. Novati Interpolating functions of matrices on
zeros of quasi-kernel polynomials . . . 337--353
Ricardo D. Fierro and
Eric P. Jiang Lanczos and the Riemannian SVD in
information retrieval applications . . . 355--372
Jan Zítko Convergence conditions for a restarted
GMRES method augmented with eigenspaces 373--390
Panayot S. Vassilevski Special issue of NLA on the occasion of
the 70th birthday of Owe Axelsson . . . 391--392
L. Yu. Kolotilina Bounds for the eigenvalues of block $ 2
\times 2 $ Hermitian positive-definite
matrices . . . . . . . . . . . . . . . . 393--417
Y. Notay Algebraic multigrid and algebraic
multilevel methods: a theoretical
comparison . . . . . . . . . . . . . . . 419--451
I. Kaporin Superlinear convergence in minimum
residual iterations . . . . . . . . . . 453--470
Robert D. Falgout and
Panayot S. Vassilevski and
Ludmil T. Zikatanov On two-grid convergence estimates . . . 471--494
R. Blaheta and
S. Margenov and
M. Neytcheva Robust optimal multilevel
preconditioners for non-conforming
finite element systems . . . . . . . . . 495--514
P. Chatzipantelidis and
V. Ginting and
R. D. Lazarov A finite volume element method for a
non-linear elliptic problem . . . . . . 515--546
W. Layton Model reduction by constraints,
discretization of flow problems and an
induced pressure stabilization . . . . . 547--562
M. H. van Raalte and
P. W. Hemker Two-level multigrid analysis for the
convection-diffusion equation
discretized by a discontinuous Galerkin
method . . . . . . . . . . . . . . . . . 563--584
Ji-Guang Sun A note on backward errors for structured
linear systems . . . . . . . . . . . . . 585--603
Tsung-Min Hwang and
Wen-Wei Lin and
Jinn-Liang Liu and
Weichung Wang Jacobi--Davidson methods for cubic
eigenvalue problems . . . . . . . . . . 605--624
Raf Vandebril and
Marc Van Barel and
Nicola Mastronardi An implicit QR algorithm for symmetric
semiseparable matrices . . . . . . . . . 625--658
Xiao-Wen Chang and
Martin J. Gander and
Samir Karaa Asymptotic properties of the QR
factorization of banded
Hessenberg--Toeplitz matrices . . . . . 659--682
Nicola Mastronardi and
Sabine Van Huffel Numerical linear algebra and its
applications . . . . . . . . . . . . . . 683
Dario A. Bini and
Luca Gemignani and
Joab R. Winkler Structured matrix methods for CAGD: an
application to computing the resultant
of polynomials in the Bernstein basis 685--698
G. Codevico and
G. Heinig and
M. Van Barel A superfast solver for real symmetric
Toeplitz systems using real
trigonometric transformations . . . . . 699--713
M. Donatelli A multigrid for image deblurring with
Tikhonov regularization . . . . . . . . 715--729
Lars Eldén and
Berkant Savas The maximum likelihood estimate in
reduced-rank regression . . . . . . . . 731--741
Dario Fasino Rational Krylov matrices and QR steps on
Hermitian diagonal-plus-semiseparable
matrices . . . . . . . . . . . . . . . . 743--754
Carmine Di Fiore and
Stefano Fanelli and
Paolo Zellini Low-complexity minimization algorithms 755--768
W. Gander Change of basis in polynomial
interpolation . . . . . . . . . . . . . 769--778
Man-Kiu Ho and
Michael K. Ng Splitting iterations for
circulant-plus-diagonal systems . . . . 779--792
Filippo Notarnicola Matrix recursive expressions of the DFT
of even and odd complex sequences . . . 793--808
J. M. Papy and
L. De Lathauwer and
S. Van Huffel Exponential data fitting using
multilinear algebra: the single-channel
and multi-channel case . . . . . . . . . 809--826
V. E. Sacksteder $ O(N) $ algorithms for disordered
systems . . . . . . . . . . . . . . . . 827--838
Raf Vandebril and
Marc Van Barel and
Nicola Mastronardi A note on the representation and
definition of semiseparable matrices . . 839--858
Hongbin Guo and
Rosemary A. Renaut Parallel variable distribution for total
least squares . . . . . . . . . . . . . 859--876
Yifan Hu and
Jennifer Scott Ordering techniques for singly bordered
block diagonal forms for unsymmetric
parallel sparse direct solvers . . . . . 877--894
Xuzhou Chen and
Robert E. Hartwig The semi-iterative method applied to the
hyper-power iteration . . . . . . . . . 895--910
James R. Bunch and
Roummel F. Marcia A pivoting strategy for symmetric
tridiagonal matrices . . . . . . . . . . 911--922
G.-D. Gu and
V. Simoncini Numerical solution of
parameter-dependent linear systems . . . 923--940
Jan Mayer ILUCP: a Crout ILU preconditioner with
pivoting . . . . . . . . . . . . . . . . 941--955
Wai-Ki Ching and
Michael K. Ng and
Wai-On Yuen A direct method for solving
block-Toeplitz with near-circulant-block
systems with applications to hybrid
manufacturing systems . . . . . . . . . 957--966
Wen-Wei Lin and
Jenn-Nan Wang Partial pole assignment for the
quadratic pencil by output feedback
control with feedback designs . . . . . 967--979
M. Van Barel and
E. Van Camp and
N. Mastronardi Orthogonal similarity transformation
into block-semiseparable matrices of
semiseparability rank $k$ . . . . . . . 981--1000
Lisa Perrone Kronecker product approximations for
image restoration with anti-reflective
boundary conditions . . . . . . . . . . 1--22
T. Kim and
J. E. Pasciak and
P. S. Vassilevski Mesh-independent convergence of the
modified inexact Newton method for a
second order non-linear problem . . . . 23--47
J. K. Kraus Algebraic multilevel preconditioning of
finite element matrices using local
Schur complements . . . . . . . . . . . 49--70
F. Cucker and
H. Diao and
Y. Wei Smoothed analysis of some condition
numbers . . . . . . . . . . . . . . . . 71--84
Robert D. Falgout Special issue on multigrid methods . . . 85
David M. Alber Modifying CLJP to select grid
hierarchies with lower operator
complexities and better performance . . 87--104
Tim Boonen and
Geoffrey Deliége and
Stefan Vandewalle On algebraic multigrid methods derived
from partition of unity nodal
prolongators . . . . . . . . . . . . . . 105--131
J. Brannick and
M. Brezina and
S. MacLachlan and
T. Manteuffel and
S. McCormick and
J. Ruge An energy-based AMG coarsening strategy 133--148
M. M. Bronstein and
A. M. Bronstein and
R. Kimmel and
I. Yavneh Multigrid multidimensional scaling . . . 149--171
Qiang Du and
Maria Emelianenko Acceleration schemes for computing
centroidal Voronoi tessellations . . . . 173--192
Michael Griebel and
Bram Metsch and
Daniel Oeltz and
Marc Alexander Schweitzer Coarse grid classification: a parallel
coarsening scheme for algebraic
multigrid methods . . . . . . . . . . . 193--214
Lars Hömke A multigrid method for anisotropic PDEs
in elastic image registration . . . . . 215--229
H. Köstler and
U. Rüde An accurate multigrid solver for
computing singular solutions of elliptic
problems . . . . . . . . . . . . . . . . 231--249
Alfonso Limon and
Hedley Morris A multilevel adaptive solver based on
second-generation wavelet thresholding
techniques . . . . . . . . . . . . . . . 251--273
M. Mehl and
T. Weinzierl and
Chr. Zenger A cache-oblivious self-adaptive full
multigrid method . . . . . . . . . . . . 275--291
M. Schuermans and
P. Lemmerling and
S. Van Huffel Block-row Hankel weighted low rank
approximation . . . . . . . . . . . . . 293--302
F. X. Trias and
M. Soria and
C. D. Pérez-Segarra and
A. Oliva A direct Schur--Fourier decomposition
for the efficient solution of high-order
Poisson equations on loosely coupled
parallel computers . . . . . . . . . . . 303--326
Wen Li and
Weiwei Sun Some remarks on the perturbation of
polar decompositions for rectangular
matrices . . . . . . . . . . . . . . . . 327--338
Owe Axelsson and
Maya Neytcheva Eigenvalue estimates for preconditioned
saddle point matrices . . . . . . . . . 339--360
E. Castillo and
R. E. Pruneda and
C. Solares and
R. Mínguez Interpreting linear systems of
equalities and inequalities. Application
to the water supply problem . . . . . . 361--397
Volker Grimm and
Stefan Henn and
Kristian Witsch A higher-order PDE-based image
registration approach . . . . . . . . . 399--417
Alexei A. Mailybaev Computation of multiple eigenvalues and
generalized eigenvectors for matrices
dependent on parameters . . . . . . . . 419--436
S. Salapaka and
A. Peirce Analysis of a novel preconditioner for a
class of p-level lower rank extracted
systems . . . . . . . . . . . . . . . . 437--472
Zhen-yun Peng and
Ya-xin Peng An efficient iterative method for
solving the matrix equation $ A X B + C
Y D = E $ . . . . . . . . . . . . . . . 473--485
F. Chaitin-Chatelin and
M. B. van Gijzen Analysis of parameterized quadratic
eigenvalue problems in computational
acoustics with homotopic deviation
theory . . . . . . . . . . . . . . . . . 487--512
Che-Man Cheng and
Xiao-Qing Jin and
Yi-Min Wei Stability properties of superoptimal
preconditioner from numerical range . . 513--521
Sang Dong Kim and
Chang-Ock Lee and
Thomas A. Manteuffel and
Stephen F. McCormick and
Oliver Röhrle First-order system least squares for the
Oseen equations . . . . . . . . . . . . 523--542
J. P. Zeng and
Y. J. Jiang Direct algorithms to solve the two-sided
obstacle problem for an $M$-matrix . . . 543--551
J. Arnal and
H. Migallón and
V. Migallón and
J. Penadés Parallel Newton two-stage methods based
on ILU factorizations for nonlinear
systems . . . . . . . . . . . . . . . . 553--572
Sven Beuchler and
Dietrich Braess Improvements for some condition number
estimates for preconditioned system in
$p$-FEM . . . . . . . . . . . . . . . . 573--588
A. Galántai and
Cs. J. Heged\Hus Jordan's principal angles in complex
vector spaces . . . . . . . . . . . . . 589--598
Scott MacLachlan and
Tom Manteuffel and
Steve McCormick Adaptive reduction-based AMG . . . . . . 599--620
Yunkai Zhou Studies on Jacobi--Davidson, Rayleigh
quotient iteration, inverse iteration
generalized Davidson and Newton updates 621--642
Osni A. Marques and
Beresford N. Parlett and
Christof Vömel Computations of eigenpair subsets with
the MRRR algorithm . . . . . . . . . . . 643--653
Zhong-Zhi Bai and
Xiao-Xia Guo and
Shu-Fang Xu Alternately linearized implicit
iteration methods for the minimal
nonnegative solutions of the
nonsymmetric algebraic Riccati equations 655--674
Raytcho Lazarov and
Joseph Pasciak and
Guan Qin On the occasion of the sixtieth birthday
of Richard E. Ewing . . . . . . . . . . 675--676
Zhangxin Chen and
So-Hsiang Chou and
Do Young Kwak Characteristic-mixed covolume methods
for advection-dominated diffusion
problems . . . . . . . . . . . . . . . . 677--697
J. Niessner and
R. Helmig Multi-scale modelling of
two-phase--two-component processes in
heterogeneous porous media . . . . . . . 699--715
Randi Holm and
Roland Kaufmann and
Bjòrn-Ove Heimsund and
Erlend Òian and
Magne S. Espedal Meshing of domains with complex internal
geometries . . . . . . . . . . . . . . . 717--731
Dylan M. Copeland and
Joseph E. Pasciak A least-squares method for axisymmetric
div--curl systems . . . . . . . . . . . 733--752
Veselin A. Dobrev and
Raytcho D. Lazarov and
Panayot S. Vassilevski and
Ludmil T. Zikatanov Two-level preconditioning of
discontinuous Galerkin approximations of
second-order elliptic equations . . . . 753--770
Tzanio V. Kolev and
Panayot S. Vassilevski AMG by element agglomeration and
constrained energy minimization
interpolation . . . . . . . . . . . . . 771--788
S. L. Lyons and
R. R. Parashkevov and
X. H. Wu A family of $ H_1 $-conforming finite
element spaces for calculations on $3$D
grids with pinch-outs . . . . . . . . . 789--799
Yuan-Bei Deng and
Zhong-Zhi Bai and
Yong-Hua Gao Iterative orthogonal direction methods
for Hermitian minimum norm solutions of
two consistent matrix equations . . . . 801--823
Stefania Bellavia and
Maria Macconi and
Benedetta Morini An interior point Newton-like method for
non-negative least-squares problems with
degenerate solution . . . . . . . . . . 825--846
Yuri R. Hakopian and
Arsen S. Harutyunyan Two-level preconditioners for
serendipity finite element matrices . . 847--864
James R. Bunch and
Roummel F. Marcia A simplified pivoting strategy for
symmetric tridiagonal matrices . . . . . 865--867
Li-Ying Sun Some extensions of the improved modified
Gauss--Seidel iterative method for
$H$-matrices . . . . . . . . . . . . . . 869--876
Valeria Simoncini and
Daniel B. Szyld Recent computational developments in
Krylov subspace methods for linear
systems . . . . . . . . . . . . . . . . 1--59
M. Ili\'c and
I. W. Turner and
Y. Saad Linear system solution by null-space
approximation and projection (SNAP) . . 61--82
Kent-Andre Mardal and
Bjòrn Fredrik Nielsen and
Xing Cai and
Aslak Tveito An order optimal solver for the
discretized bidomain equations . . . . . 83--98
Zhen-yun Peng and
Salah M. El-Sayed On positive definite solution of a
nonlinear matrix equation . . . . . . . 99--113
Hou-Biao Li and
Ting-Zhu Huang and
Hong Li and
Shu-Qian Shen Optimal Gerschgorin-type inclusion
intervals of singular values . . . . . . 115--128
Y. Achdou and
F. Nataf Low frequency tangential filtering
decomposition . . . . . . . . . . . . . 129--147
C. R. Dohrmann An approximate BDDC preconditioner . . . 149--168
Tycho van Noorden and
Joost Rommes Computing a partial generalized real
Schur form using the Jacobi--Davidson
method . . . . . . . . . . . . . . . . . 197--215
Liang Li and
Ting-Zhu Huang and
Xing-Ping Liu Modified Hermitian and skew-Hermitian
splitting methods for non-Hermitian
positive-definite linear systems . . . . 217--235
Linda Kaufman The retraction algorithm for factoring
banded symmetric matrices . . . . . . . 237--254
Jing Cai and
Guoliang Chen On determinantal representation for the
generalized inverse $A$ and its
applications . . . . . . . . . . . . . . 169--182
H. Egger Preconditioning CGNE iteration for
inverse problems . . . . . . . . . . . . 183--196
Jörg Schleicher and
Lei Wang and
Jin Yun Yuan Mathematical modelling and mathematical
methods in energy . . . . . . . . . . . 255--255
T. P. Mathew and
M. Sarkis and
C. E. Schaerer Analysis of block matrix preconditioners
for elliptic optimal control problems 257--279
Chen Greif and
Dominik Schötzau Preconditioners for the discretized
time-harmonic Maxwell equations in mixed
form . . . . . . . . . . . . . . . . . . 281--297
Yi-Qing Hu and
Yu-Hong Dai Inexact Barzilai--Borwein method for
saddle point problems . . . . . . . . . 299--317
Zhong-Zhi Bai and
Gene H. Golub and
Michael K. Ng On successive-overrelaxation
acceleration of the Hermitian and
skew-Hermitian splitting iterations . . 319--335
James Baglama and
Lothar Reichel Augmented GMRES-type methods . . . . . . 337--350
Rachel Marques Marcato and
Claudia Sagastizábal Introducing environmental constraints in
generation expansion problems . . . . . 351--368
L. Canha and
P. Ekel and
J. Queiroz and
F. Schuffner Neto Models and methods of decision making in
fuzzy environment and their applications
to power engineering problems . . . . . 369--390
Hou-Biao Li and
Ting-Zhu Huang and
Hong Li On some subclasses of $P$-matrices . . . 391--405
M. Bebendorf and
W. Hackbusch Stabilized rounded addition of
hierarchical matrices . . . . . . . . . 407--423
An-ping Liao and
Yuan Lei Least-squares solutions of matrix
inverse problem for bi-symmetric
matrices with a submatrix constraint . . 425--444
I. Moret On RD-rational Krylov approximations to
the core-functions of exponential
integrators . . . . . . . . . . . . . . 445--457
Xing Cai and
Bjòrn Fredrik Nielsen and
Aslak Tveito A note on the efficiency of the
conjugate gradient method for a class of
time-dependent problems . . . . . . . . 459--467
Tommy Elfving and
Ingegerd Skoglund A block-preconditioner for a special
regularized least-squares problem . . . 469--484
J. Kiskiras and
G. D. Halikias A note on the complex semi-definite
matrix Procrustes problem . . . . . . . 485--502
Yiju Wang and
Liqun Qi On the successive supersymmetric rank-1
decomposition of higher-order
supersymmetric tensors . . . . . . . . . 503--519
Gang Wu and
Yimin Wei A Power--Arnoldi algorithm for computing
PageRank . . . . . . . . . . . . . . . . 521--546
Xinguo Liu and
Chaoxian Chen A note on backward errors for Toeplitz
systems . . . . . . . . . . . . . . . . 547--562
U. Hetmaniuk A Rayleigh quotient minimization
algorithm based on algebraic multigrid 563--580
M. E. Kilmer and
J. G. Nagy Kronecker product approximations for
dense block Toeplitz-plus-Hankel
matrices . . . . . . . . . . . . . . . . 581--602
Huaian Diao and
Yimin Wei On Frobenius normwise condition numbers
for Moore--Penrose inverse and linear
least-squares problems . . . . . . . . . 603--610
David M. Alber and
Luke N. Olson Parallel coarse-grid selection . . . . . 611--643
G. Lotti A note on the solution of not balanced
banded Toeplitz systems . . . . . . . . 645--657
Yiqin Lin and
Yimin Wei A note on constraint preconditioners for
nonsymmetric saddle point problems . . . 659--664
J. M. Peña Refining Gerschgorin disks through new
criteria for nonsingularity . . . . . . 665--671
Aurobinda Routray and
Smarak Swain Fast algorithms for designing variable
FIR notch filters . . . . . . . . . . . 673--694
Jihong Ren and
Chen Greif and
Mark R. Greenstreet An efficient linear programming solver
for optimal filter synthesis . . . . . . 695--712
J. Haslinger and
T. Kozubek and
R. Ku\vcera and
G. Peichl Projected Schur complement method for
solving non-symmetric systems arising
from a smooth fictitious domain approach 713--739
D. Luká\vs and
Z. Dostál Optimal multigrid preconditioned
semi-monotonic augmented Lagrangians
applied to the Stokes problem . . . . . 741--750
B. Chang The conjugate gradient method solves the
neutron transport equation h-optimally 751--769
Jan Mayer A multilevel Crout ILU preconditioner
with pivoting and row permutation . . . 771--789
Marta Domorádová and
Zden\vek Dostál Projector preconditioning for partially
bound-constrained quadratic optimization 791--806
Silvia Bonettini and
Valeria Ruggiero and
Federica Tinti On the solution of indefinite systems
arising in nonlinear programming
problems . . . . . . . . . . . . . . . . 807--831
Musheng Wei and
Minghui Wang Perturbation analysis for the
generalized Schur complement of a
positive semi-definite matrix . . . . . 1--11
Maxim Larin and
Arnold Reusken A comparative study of efficient
iterative solvers for generalized Stokes
equations . . . . . . . . . . . . . . . 13--34
Michiel E. Hochstenbach and
Gerard L. G. Sleijpen Harmonic and refined Rayleigh--Ritz for
the polynomial eigenvalue problem . . . 35--54
C.-S. Chien and
B.-W. Jeng and
Z.-C. Li A time-independent approach for
computing wave functions of the
Schrödinger--Poisson system . . . . . . . 55--82
Guo-Wei Wei and
Ge Wang Numerical Methods in Engineering (CNM) 83--83
Robert D. Falgout Multigrid Methods . . . . . . . . . . . 85--87
H. De Sterck and
T. Manteuffel and
S. McCormick and
J. Nolting and
J. Ruge and
L. Tang Efficiency-based $h$- and $ h p
$-refinement strategies for finite
element methods . . . . . . . . . . . . 89--114
Hans De Sterck and
Robert D. Falgout and
Joshua W. Nolting and
Ulrike Meier Yang Distance-two interpolation for parallel
algebraic multigrid . . . . . . . . . . 115--139
E. Rosseel and
T. Boonen and
S. Vandewalle Algebraic multigrid for stationary and
time-dependent partial differential
equations with stochastic coefficients 141--163
Nathan Bell and
Luke N. Olson Algebraic multigrid for $k$-form
Laplacians . . . . . . . . . . . . . . . 165--185
M. Stürmer and
H. Köstler and
U. Rüde A fast full multigrid solver for
applications in image processing . . . . 187--200
H. Köstler and
K. Ruhnau and
R. Wienands Multigrid solution of the optical flow
system using a combined diffusion- and
curvature-based regularizer . . . . . . 201--218
Pablo Navarrete Michelini and
Edward J. Coyle A semi-algebraic approach that enables
the design of inter-grid operators to
optimize multigrid convergence . . . . . 219--247
M. Brezina and
T. Manteuffel and
S. McCormick and
J. Ruge and
G. Sanders and
P. Vassilevski A generalized eigensolver based on
smoothed aggregation (GES-SA) for
initializing smoothed aggregation (SA)
multigrid . . . . . . . . . . . . . . . 249--269
Yunrong Zhu Domain decomposition preconditioners for
elliptic equations with jump
coefficients . . . . . . . . . . . . . . 271--289
James J. Brannick and
Hengguang Li and
Ludmil T. Zikatanov Uniform convergence of the multigrid
$V$-cycle on graded meshes for corner
singularities . . . . . . . . . . . . . 291--306
Yonghui Liu and
Yongge Tian More on extremal ranks of the matrix
expressions $ A - B X \pm X*B* $ with
statistical applications . . . . . . . . 307--325
N. Mastronardi and
M. Van Barel and
R. Vandebril A fast algorithm for computing the
smallest eigenvalue of a symmetric
positive-definite Toeplitz matrix . . . 327--337
Ivana Pultarová Necessary and sufficient local
convergence condition of one class of
iterative aggregation--disaggregation
methods . . . . . . . . . . . . . . . . 339--354
R. Nabben and
C. Vuik A comparison of abstract versions of
deflation, balancing and additive coarse
grid correction preconditioners . . . . 355--372
Zhen-Yun Peng Solutions of symmetry-constrained
least-squares problems . . . . . . . . . 373--389
X. Y. Luo and
C. Davies Call for Papers: Special Issue on `Flow
in Collapsible Tubes or Over Compliant
Surfaces for Biomedical Applications',
Communications in Numerical Methods in
Engineering (CNM) . . . . . . . . . . . 391--391
Panayot S. Vassilevski and
Ludmil T. Zikatanov Advanced multigrid methods for systems
of PDEs . . . . . . . . . . . . . . . . 393--393
J. Kraus and
S. Margenov and
J. Synka On the multilevel preconditioning of
Crouzeix--Raviart elliptic problems . . 395--416
J. K. Kraus and
S. K. Tomar A multilevel method for discontinuous
Galerkin approximation of
three-dimensional anisotropic elliptic
problems . . . . . . . . . . . . . . . . 417--438
Ludmil T. Zikatanov Two-sided bounds on the convergence rate
of two-level methods . . . . . . . . . . 439--454
Tzanio V. Kolev and
Joseph E. Pasciak and
Panayot S. Vassilevski $H$ (curl) auxiliary mesh
preconditioning . . . . . . . . . . . . 455--471
Yvan Notay and
Panayot S. Vassilevski Recursive Krylov-based multigrid cycles 473--487
A. J. Laub and
J. Xia Applications of statistical condition
estimation to the solution of linear
systems . . . . . . . . . . . . . . . . 489--513
Zhi-Hao Cao Augmentation block preconditioners for
saddle point-type matrices with singular
$ (1, 1) $ blocks . . . . . . . . . . . 515--533
Yiqin Lin and
Liang Bao Convergence analysis of the
Newton--Shamanskii method for a
nonsymmetric algebraic Riccati equation 535--546
Xiuhong Du and
Daniel B. Szyld A note on the mesh independence of
convergence bounds for additive Schwarz
preconditioned GMRES . . . . . . . . . . 547--557
Baojiang Zhong and
Ronald B. Morgan Complementary cycles of restarted GMRES 559--571
Anonymous Call for Papers: Special Issue on `The
Zienkiewicz Medal and \pounds1000 Prize
Numerical Methods in Engineering' . . . 573--573
Zi-Cai Li and
Hung-Tsai Huang Effective condition number for numerical
partial differential equations . . . . . 575--594
Ilya Lashuk and
Panayot S. Vassilevski On some versions of the element
agglomeration AMGe method . . . . . . . 595--620
Musheng Wei and
Qiaohua Liu On growth factors of the modified
Gram--Schmidt algorithm . . . . . . . . 621--636
Majid Adib A handy proof of Gay's theorem . . . . . 637--642
Lothar Reichel and
Qiang Ye A generalized LSQR algorithm . . . . . . 643--660
F. J. Gaspar and
J. L. Gracia and
F. J. Lisbona and
C. W. Oosterlee Distributive smoothers in multigrid for
problems with dominating grad--div
operators . . . . . . . . . . . . . . . 661--683
Hu Yang and
Hanyu Li Perturbation bounds for weighted polar
decomposition in the weighted unitarily
invariant norm . . . . . . . . . . . . . 685--700
P. Pironkov and
M. Schäfer and
K. Krastev Properties of discrete Chebyshev
collocation differential operators in
curvilinear geometries . . . . . . . . . 701--716
A. Buzdin and
D. Logashenko and
G. Wittum IBLU decompositions based on Padé
approximants . . . . . . . . . . . . . . 717--746
Peter Benner Large-scale matrix equations of special
type . . . . . . . . . . . . . . . . . . 747--754
Peter Benner and
Jing-Rebecca Li and
Thilo Penzl Numerical solution of large-scale
Lyapunov equations, Riccati equations,
and linear-quadratic optimal control
problems . . . . . . . . . . . . . . . . 755--777
L. Grasedyck Nonlinear multigrid for the solution of
large-scale Riccati equations in
low-rank and $ {\cal H} $-matrix format 779--807
A. Varga On solving periodic Riccati equations 809--835
U. Baur Low rank solution of data-sparse
Sylvester equations . . . . . . . . . . 837--851
T. Damm Direct methods and ADI-preconditioned
Krylov subspace methods for generalized
Lyapunov equations . . . . . . . . . . . 853--871
Yunkai Zhou and
D. C. Sorensen Approximate implicit subspace iteration
with alternating directions for LTI
system model reduction . . . . . . . . . 873--886
Clovis Caesar Gonzaga and
Jin Yun Yuan Foz2006 numerical linear algebra and
optimization . . . . . . . . . . . . . . 887--889
Li-Ping Wang and
Yu-Hong Dai Left conjugate gradient method for
non-Hermitian linear systems . . . . . . 891--909
Sabine Le Borne and
Suely Oliveira and
Fang Yang $ {\cal H} $-matrix preconditioners for
symmetric saddle-point systems from
meshfree discretization . . . . . . . . 911--924
L. C. Matioli and
C. C. Gonzaga A new family of penalties for augmented
Lagrangian methods . . . . . . . . . . . 925--944
C. M. Oishi and
J. A. Cuminato and
J. Y. Yuan and
S. McKee Stability of numerical schemes on
staggered grids . . . . . . . . . . . . 945--967
F. S. V. Bazán Nonnormality estimation in
projection-type system realization
methods . . . . . . . . . . . . . . . . 969--983
Karl Meerbergen and
Jean-Pierre Coyette Connection and comparison between
frequency shift time integration and a
spectral transformation preconditioner 1--17
Michael W. Gee and
Jonathan J. Hu and
Raymond S. Tuminaro A new smoothed aggregation multigrid
method for anisotropic problems . . . . 19--37
Stefania Bellavia and
Jacek Gondzio and
Benedetta Morini Regularization and preconditioning of
KKT systems arising in nonnegative
least-squares problems . . . . . . . . . 39--61
D. Steven Mackey and
Niloufer Mackey and
Christian Mehl and
Volker Mehrmann Numerical methods for palindromic
eigenvalue problems: Computing the
anti-triangular Schur form . . . . . . . 63--86
Huaian Diao On componentwise condition numbers for
eigenvalue problems with structured
matrices . . . . . . . . . . . . . . . . 87--107
Zheng-Jian Bai and
Wai-Ki Ching A smoothing Newton's method for the
construction of a damped vibrating
system from noisy test eigendata . . . . 109--128
Jun-Liang Dong and
Mei-Qun Jiang A modified modulus method for symmetric
positive-definite linear complementarity
problems . . . . . . . . . . . . . . . . 129--143
Zi-Cai Li and
Tzon-Tzer Lu and
Yimin Wei Effective condition number of Treffitz
methods for biharmonic equations with
crack singularities . . . . . . . . . . 145--171
Xin-Guo Liu and
Wei-Guo Wang and
Yi-Min Wei A generalization of the Bott--Duffin
inverse and its applications . . . . . . 173--196
Haw-ren Fang and
Yousef Saad Two classes of multisecant methods for
nonlinear acceleration . . . . . . . . . 197--221
R. Bouyouli and
G. Meurant and
L. Smoch and
H. Sadok New results on the convergence of the
conjugate gradient method . . . . . . . 223--236
C. Estatico Preconditioners for ill-posed Toeplitz
matrices with differentiable generating
functions . . . . . . . . . . . . . . . 237--257
Zhongxiao Jia and
Baochen Zhu A power sparse approximate inverse
preconditioning procedure for large
sparse linear systems . . . . . . . . . 259--299
Guangxi Cao and
Yongzhong Song On parallel multisplitting methods for
symmetric positive semidefinite linear
systems . . . . . . . . . . . . . . . . 301--318
Eike Rietsch Consistent interpolation of
equidistantly sampled data . . . . . . . 319--344
Yingxi Wang and
Kui Du and
Weiwei Sun Preconditioning iterative algorithm for
the electromagnetic scattering from a
large cavity . . . . . . . . . . . . . . 345--363
Stefan A. Funken and
Ernst P. Stephan Fast solvers with block-diagonal
preconditioners for linear FEM--BEM
coupling . . . . . . . . . . . . . . . . 365--395
Jiang Qian and
Shu-Fang Xu and
Feng-Shan Bai Symmetric low-rank corrections to
quadratic models . . . . . . . . . . . . 397--413
I. Pultarová Preconditioning and a posteriori error
estimates using $h$- and
$p$-hierarchical finite elements with
rectangular supports . . . . . . . . . . 415--430
Igor Moret Rational Lanczos approximations to the
matrix square root and related functions 431--445
Zhong-Zhi Bai Optimal parameters in the HSS-like
methods for saddle-point problems . . . 447--479
S. C. Brenner and
J. Cui and
L.-Y. Sung Multigrid methods for the symmetric
interior penalty method on graded meshes 481--501
Zhi-Hao Cao A note on spectrum distribution of
constraint preconditioned generalized
saddle point matrices . . . . . . . . . 503--516
Marc Baboulin and
Jack Dongarra and
Serge Gratton and
Julien Langou Computing the conditioning of the
components of a linear least-squares
solution . . . . . . . . . . . . . . . . 517--533
Yingxiong Xiao and
Shi Shu and
Tuyan Zhao A geometric-based algebraic multigrid
method for higher-order finite element
equations in two-dimensional linear
elasticity . . . . . . . . . . . . . . . 535--559
P. Favati and
G. Lotti and
O. Menchi Recursive algorithms for unbalanced
banded Toeplitz systems . . . . . . . . 561--587
Yiju Wang and
Liqun Qi and
Xinzhen Zhang A practical method for computing the
largest $M$-eigenvalue of a fourth-order
partially symmetric tensor . . . . . . . 589--601
N. Umetani and
S. P. MacLachlan and
C. W. Oosterlee A multigrid-based shifted Laplacian
preconditioner for a fourth-order
Helmholtz discretization . . . . . . . . 603--626
X.-W. Chang and
D. Titley-Peloquin Backward perturbation analysis for
scaled total least-squares problems . . 627--648
Tommy Elfving and
Ingegerd Skoglund A direct method for a regularized
least-squares problem . . . . . . . . . 649--675
Gui-Xian Tian and
Ting-Zhu Huang and
Shu-Yu Cui The digraphs and inclusion intervals of
matrix singular values . . . . . . . . . 677--687
Jayadeep Gopalakrishnan and
Shuguang Tan A convergent multigrid cycle for the
hybridized mixed method . . . . . . . . 689--714
Christos Kravvaritis and
Marilena Mitrouli The growth factor of a Hadamard matrix
of order $ 16 $ is $ 16 $ . . . . . . . 715--743
Jing Li and
Xuemin Tu Convergence analysis of a balancing
domain decomposition method for solving
a class of indefinite linear systems . . 745--773
Anonymous \em Numerical Linear Algebra with
Applications impact factor for 2008 has
been published to be $ 0.822 $ . . . . . i--i
Jan Van lent and
Robert Scheichl and
Ivan G. Graham Energy-minimizing coarse spaces for
two-level Schwarz methods for multiscale
PDEs . . . . . . . . . . . . . . . . . . 775--799
Wei Xu and
Sanzheng Qiao A twisted factorization method for
symmetric SVD of a complex symmetric
tridiagonal matrix . . . . . . . . . . . 801--815
Chun Yuan Deng On the invertibility of the operator $ A
- X B $ . . . . . . . . . . . . . . . . 817--831
Jesse L. Barlow and
Hasan Erbay Modifiable low-rank approximation to a
matrix . . . . . . . . . . . . . . . . . 833--860
Ljiljana Cvetkovi\'c Preface . . . . . . . . . . . . . . . . 861--862
Abed Elhashash and
Daniel B. Szyld Two characterizations of matrices with
the Perron--Frobenius property . . . . . 863--869
J. M. Peña Eigenvalue bounds for some classes of
$P$-matrices . . . . . . . . . . . . . . 871--882
V. Kosti\'c and
L. J. Cvetkovi\'c and
R. S. Varga Ger\vsgorin-type localizations of
generalized eigenvalues . . . . . . . . 883--898
Heinrich Voss A minmax principle for nonlinear
eigenproblems depending continuously on
the eigenparameter . . . . . . . . . . . 899--913
A. Imakura and
T. Sogabe and
S.-L. Zhang An implicit wavelet sparse approximate
inverse preconditioner using block
finger pattern . . . . . . . . . . . . . 915--928
Charles R. Johnson and
Joshua A. Link Solution theory for complete bilinear
systems of equations . . . . . . . . . . 929--934
R. Bru and
C. Corral and
I. Giménez and
J. Mas Schur complement of general $H$-matrices 935--947
Charles Johnson and
Lev Krukier General resolution of a convergence
question of L. Krukier . . . . . . . . . 949--950
Beata Laszkiewicz and
Krystyna Ziátak A Padé family of iterations for the
matrix sector function and the matrix
$p$ th root . . . . . . . . . . . . . . 951--970
M. S. Petkovi\'c and
L. Ran\vci\'c and
L. D. Petkovi\'c and
S. Ili\'c Chebyshev-like root-finding methods with
accelerated convergence . . . . . . . . 971--994
Giuseppe Mastroianni and
Gradimir V. Milovanovi\'c Well-conditioned matrices for numerical
treatment of Fredholm integral equations
of the second kind . . . . . . . . . . . 995--1011
Perumal Nithiarasu and
Rainald Löhner The journal Communications in Numerical
Methods in Engineering with Biomedical
Applications becomes the International
Journal for Numerical Methods in
Biomedical Engineering (IJNMBE) from 1st
January 2010 . . . . . . . . . . . . . . 1013--1014
Owe Axelsson The past 16 years of NLA . . . . . . . . 1--1
Anthony T. Chronopoulos and
Andrey B. Kucherov Block $s$-step Krylov iterative methods 3--15
R. Webster Algebraic multigrid, mixed-order
interpolation, and incompressible fluid
flow . . . . . . . . . . . . . . . . . . 17--42
H. S. Dollar and
J. A. Scott A note on fast approximate minimum
degree orderings for symmetric matrices
with some dense rows . . . . . . . . . . 43--55
Lijun Zhao and
Xiyan Hu and
Lei Zhang Properties and least-squares problems
for row extended matrices . . . . . . . 57--71
Yvan Notay Algebraic analysis of two-grid methods:
The nonsymmetric case . . . . . . . . . 73--96
Christof Vömel A note on harmonic Ritz values and their
reciprocals . . . . . . . . . . . . . . 97--108
Young-Ju Lee Uniform stability analysis of Austin,
Manteuffel and McCormick finite elements
and fast and robust iterative methods
for the Stokes-like equations . . . . . 109--138
Naimin Zhang and
Yi-Min Wei On the convergence of general stationary
iterative methods for range-Hermitian
singular linear systems . . . . . . . . 139--154
Jinhai Chen and
Liqun Qi Globally and superlinearly convergent
inexact Newton--Krylov algorithms for
solving nonsmooth equations . . . . . . 155--174
Robert D. Falgout Multigrid methods . . . . . . . . . . . 175--178
M. Donatelli An algebraic generalization of local
Fourier analysis for grid transfer
operators in multigrid based on Toeplitz
matrices . . . . . . . . . . . . . . . . 179--197
A. Thekale and
T. Gradl and
K. Klamroth and
U. Rüde Optimizing the number of multigrid
cycles in the full multigrid algorithm 199--210
William F. Mitchell The hp-multigrid method applied to
hp-adaptive refinement of triangular
grids . . . . . . . . . . . . . . . . . 211--228
Eran Treister and
Irad Yavneh Square and stretch multigrid for
stochastic matrix eigenproblems . . . . 229--251
Peter Thum and
Tanja Clees Towards physics-oriented smoothing in
algebraic multigrid for systems of
partial differential equations arising
in multi-ion transport and reaction
models . . . . . . . . . . . . . . . . . 253--271
Artem Napov and
Yvan Notay When does two-grid optimality carry over
to the $V$-cycle? . . . . . . . . . . . 273--290
Daniel Ritter and
Markus Stürmer and
Ulrich Rüde A fast-adaptive composite grid algorithm
for solving the free-space Poisson
problem on the Cell Broadband Engine . . 291--305
Anna Naumovich and
Malte Förster and
Richard Dwight Algebraic multigrid within defect
correction for the linearized Euler
equations . . . . . . . . . . . . . . . 307--324
Sean Buckeridge and
Robert Scheichl Parallel geometric multigrid for global
weather prediction . . . . . . . . . . . 325--342
Eldad Haber and
Raya Horesh and
Jan Modersitzki Numerical optimization for constrained
image registration . . . . . . . . . . . 343--359
Luke N. Olson and
Jacob B. Schroder Smoothed aggregation for Helmholtz
problems . . . . . . . . . . . . . . . . 361--386
Thomas Manteuffel and
Steven McCormick and
Joshua Nolting and
John Ruge and
Geoff Sanders Further results on error estimators for
local refinement with first-order system
least squares (FOSLS) . . . . . . . . . 387--413
Liuqiang Zhong and
Shi Shu and
Long Chen and
Jinchao Xu Convergence of adaptive edge finite
element methods for $H$(curl)-elliptic
problems . . . . . . . . . . . . . . . . 415--432
B. Seibold Performance of algebraic multigrid
methods for non-symmetric matrices
arising in particle methods . . . . . . 433--451
Ulrike Meier Yang On long-range interpolation operators
for aggressive coarsening . . . . . . . 453--472
F. J. Gaspar and
F. J. Lisbona and
J. L. Gracia and
C. Rodrigo Multigrid finite element methods on
semi-structured triangular grids for
planar elasticity . . . . . . . . . . . 473--493
A. H. Baker and
Tz. V. Kolev and
U. M. Yang Improving algebraic multigrid
interpolation operators for linear
elasticity problems . . . . . . . . . . 495--517
T. Manteuffel and
S. McCormick and
M. Park and
J. Ruge Operator-based interpolation for
bootstrap algebraic multigrid . . . . . 519--537
C. Ketelsen and
T. Manteuffel and
S. McCormick and
J. Ruge Finite element methods for quantum
electrodynamics using a Helmholtz
decomposition of the gauge field . . . . 539--556
Steven Hamilton and
Michele Benzi and
Eldad Haber New multigrid smoothers for the Oseen
problem . . . . . . . . . . . . . . . . 557--576
J. E. Dendy, Jr. and
J. D. Moulton Black Box Multigrid with coarsening by a
factor of three . . . . . . . . . . . . 577--598
Hongru Xu and
Jinping Zeng and
Zhe Sun Two-level additive Schwarz algorithms
for nonlinear complementarity problem
with an $M$-function . . . . . . . . . . 599--613
L. Knizhnerman and
V. Simoncini A new investigation of the extended
Krylov subspace method for matrix
function evaluations . . . . . . . . . . 615--638
S. Amat and
C. Bermúdez and
S. Busquier and
S. Plaza On a third-order Newton-type method free
of bilinear operators . . . . . . . . . 639--653
R. Webster Algebraic multigrid and 4th-order
discrete-difference equations of
incompressible fluid flow . . . . . . . 655--676
Li-Ying Sun and
Jun Liu Constraint preconditioning for
nonsymmetric indefinite linear systems 677--689
Hua Xiang and
Laura Grigori Kronecker product approximation
preconditioners for
convection--diffusion model problems . . 691--712
Luke N. Olson and
Jacob Schroder and
Raymond S. Tuminaro A new perspective on strength measures
in algebraic multigrid . . . . . . . . . 713--733
Ai-Guo Wu and
Lin Tong and
Ying Zhang and
Guang-Ren Duan Comments on `An efficient iterative
method for solving the matrix equation $
A X B + C Y D = E $' . . . . . . . . . . 735--739
Owe Axelsson and
David R. Kincaid Preface . . . . . . . . . . . . . . . . 741--742
David R. Kincaid and
Richard S. Varga and
Charles H. Warlick The life and times of Dr David M. Young,
Jr. . . . . . . . . . . . . . . . . . . 743--757
Yu Kuznetsov and
A. Prokopenko A new multilevel algebraic
preconditioner for the diffusion
equation in heterogeneous media . . . . 759--769
Mary F. Wheeler and
Tim Wildey and
Guangri Xue Efficient algorithms for multiscale
modeling in porous media . . . . . . . . 771--785
Owe Axelsson and
Radim Blaheta Preconditioning of matrices partitioned
in $ 2 \times 2 $ block form: eigenvalue
estimates and Schwarz DD for mixed FEM 787--810
Caterina Calgaro and
Jean-Paul Chehab and
Yousef Saad Incremental incomplete LU factorizations
with applications . . . . . . . . . . . 811--837
Younbae Jun and
Tsun-Zee Mai Second-order treatment of the interface
of domain decomposition method for
parabolic problems . . . . . . . . . . . 839--853
L. Branets and
G. F. Carey Condition number bounds and mesh quality 855--869
H. Bin Zubair and
S. P. MacLachlan and
C. W. Oosterlee A geometric multigrid method based on
L-shaped coarsening for PDEs on
stretched grids . . . . . . . . . . . . 871--894
M. Benzi and
L. Ferragut and
M. Pennacchio and
V. Simoncini Solution of linear systems from an
optimal control problem arising in wind
simulation . . . . . . . . . . . . . . . 895--915
Zhong-Zhi Bai Modulus-based matrix splitting iteration
methods for linear complementarity
problems . . . . . . . . . . . . . . . . 917--933
I. V. Oseledets and
D. V. Savostyanov and
E. E. Tyrtyshnikov Cross approximation in tensor electron
density computations . . . . . . . . . . 935--952
Jianlin Xia and
Shivkumar Chandrasekaran and
Ming Gu and
Xiaoye S. Li Fast algorithms for hierarchically
semiseparable matrices . . . . . . . . . 953--976
Tyrone Rees and
Martin Stoll Block-triangular preconditioners for
PDE-constrained optimization . . . . . . 977--996
Jurjen Duintjer Tebbens and
Miroslav T\ocircuma Preconditioner updates for solving
sequences of linear systems in
matrix-free environment . . . . . . . . 997--1019
Kent-Andre Mardal and
Ragnar Winther Preconditioning discretizations of
systems of partial differential
equations . . . . . . . . . . . . . . . 1--40
Jennifer B. Erway and
Roummel F. Marcia A backward stability analysis of
diagonal pivoting methods for solving
unsymmetric tridiagonal systems without
interchanges . . . . . . . . . . . . . . 41--54
M'Barek Fares and
Serge Gratton and
Philippe L. Toint Fast regularized linear sampling for
inverse scattering problems . . . . . . 55--68
Yonghui Liu and
Yongge Tian A simultaneous decomposition of a matrix
triplet with applications . . . . . . . 69--85
Delin Chu and
Lijing Lin and
Roger C. E. Tan and
Yimin Wei Condition numbers and perturbation
analysis for the Tikhonov regularization
of discrete ill-posed problems . . . . . 87--103
M. Bebendorf and
T. Fischer On the purely algebraic data-sparse
approximation of the inverse and the
triangular factors of sparse matrices 105--122
Piotr Krzy\.zanowski On block preconditioners for saddle
point problems with singular or
indefinite $ (1, 1) $ block . . . . . . 123--140
Britton Chang and
Anne Greenbaum and
Eric Machorro Global error bounds for the
Petrov--Galerkin discretization of the
neutron transport equation . . . . . . . 141--154
Xingdong Yang and
Hua Dai and
Qingquan He Condition numbers and backward
perturbation bound for linear matrix
equations . . . . . . . . . . . . . . . 155--165
Ying-Jun Jiang and
Jin-Ping Zeng Direct algorithm for the solution of
two-sided obstacle problems with
$M$-matrix . . . . . . . . . . . . . . . 167--173
Owe Axelsson and
Xiaojun Chen Matrix computations and nonlinear
equations . . . . . . . . . . . . . . . 175--176
Götz Alefeld and
Zhengyu Wang Bounding the error for approximate
solutions of almost linear
complementarity problems using feasible
vectors . . . . . . . . . . . . . . . . 177--187
Xiao Shan Chen and
Wen Li and
Wai-Ki Ching Perturbation analysis for the sign
functions of regular matrix pairs . . . 189--203
Zi-Cai Li and
Hung-Tsai Huang and
Yimin Wei Ill-conditioning of the truncated
singular value decomposition, Tikhonov
regularization and their applications to
numerical partial differential equations 205--221
Michael K. Ng and
Li-Zhi Liao and
Leihong Zhang On sparse linear discriminant analysis
algorithm for high-dimensional data
classification . . . . . . . . . . . . . 223--235
Katsuhisa Ozaki and
Takeshi Ogita and
Shin'ichi Oishi Tight and efficient enclosure of matrix
multiplication by using optimized BLAS 237--248
Lei Shi and
Ding-Xuan Zhou Normal estimation on manifolds by
gradient learning . . . . . . . . . . . 249--259
Jian-Qing Sun and
Xing-Biao Hu and
Hon-Wah Tam Short note: An integrable numerical
algorithm for computing eigenvalues of a
specially structured matrix . . . . . . 261--274
Xinyuan Wu and
Zhengyu Wang A new iterative refinement with roundoff
error analysis . . . . . . . . . . . . . 275--282
Marija Dodig Pole placement problem for singular
systems . . . . . . . . . . . . . . . . 283--297
Xue-Ping Guo and
Iain S. Duff Semilocal and global convergence of the
Newton--HSS method for systems of
nonlinear equations . . . . . . . . . . 299--315
Guangxi Cao and
Yongzhong Song Semiconvergence of parallel
multisplitting methods for symmetric
positive semidefinite linear systems . . 317--324
Yong-Hua Gao and
Zhong-Zhi Bai On inexact Newton methods based on
doubling iteration scheme for
non-symmetric algebraic Riccati
equations . . . . . . . . . . . . . . . 325--341
Nassif Ghoussoub and
Amir Moradifam A note on simultaneous preconditioning
and symmetrization of non-symmetric
linear systems . . . . . . . . . . . . . 343--349
Rajeeb Dey and
Sandip Ghosh and
G. Ray and
A. Rakshit State feedback stabilization of
uncertain linear time-delay systems: a
nonlinear matrix inequality approach . . 351--361
Stefania Bellavia and
Jacek Gondzio and
Benedetta Morini Computational experience with numerical
methods for nonnegative least-squares
problems . . . . . . . . . . . . . . . . 363--385
Volker Mehrmann and
Agnieszka Miedlar Adaptive computation of smallest
eigenvalues of self-adjoint elliptic
partial differential equations . . . . . 387--409
Markus Stammberger and
Heinrich Voss Automated multi-level sub-structuring
for fluid-solid interaction problems . . 411--427
Silvia Noschese and
Lothar Reichel The structured distance to normality of
Toeplitz matrices with application to
preconditioning . . . . . . . . . . . . 429--447
Ken Hayami and
Masaaki Sugihara A geometric view of Krylov subspace
methods on singular systems . . . . . . 449--469
Zhong-Zhi Bai and
Raymond H. Chan and
Zhi-Ru Ren On sinc discretization and banded
preconditioning for linear third-order
ordinary differential equations . . . . 471--497
Eugene Vecharynski and
Julien Langou Any admissible cycle-convergence
behavior is possible for restarted GMRES
at its initial cycles . . . . . . . . . 499--511
Huiqing Xie IRAM-based method for eigenpairs and
their derivatives of large matrix-valued
functions . . . . . . . . . . . . . . . 513--538
Artem Napov and
Yvan Notay Algebraic analysis of aggregation-based
multigrid . . . . . . . . . . . . . . . 539--564
E. Kokiopoulou and
J. Chen and
Y. Saad Trace optimization and eigenproblems in
dimension reduction methods . . . . . . 565--602
Hong-Kui Pang and
Hai-Wei Sun Shift-invert Lanczos method for the
symmetric positive semidefinite Toeplitz
matrix exponential . . . . . . . . . . . 603--614
Madlen Kimmritz and
Thomas Richter Parallel multigrid method for finite
element simulations of complex flow
problems on locally refined meshes . . . 615--636
Yun-Feng Cai and
Jiang Qian and
Shu-Fang Xu The formulation and numerical method for
partial quadratic eigenvalue assignment
problems . . . . . . . . . . . . . . . . 637--652
Christoph Pflaum and
Zhabiz Rahimi An iterative solver for the
finite-difference frequency-domain
(FDFD) method for the simulation of
materials with negative permittivity . . 653--670
Chen Greif and
Robert L. Hocking A box-shaped cyclically reduced operator 671--693
Jiansong Zhang and
Danping Yang and
Hongfei Fu and
Hui Guo Parallel characteristic finite element
method for time-dependent
convection-diffusion problem . . . . . . 695--705
Quan Yuan and
Huinan Leng and
Zhiqing He A property of eigenvalue bounds for a
class of symmetric tridiagonal interval
matrices . . . . . . . . . . . . . . . . 707--717
João B. Carvalho and
Biswa N. Datta A new algorithm for generalized
Sylvester-observer equation and its
application to state and velocity
estimations in vibrating systems . . . . 719--732
Burak Aksoylu and
Zuhal Yeter Robust multigrid preconditioners for the
high-contrast biharmonic plate equation 733--750
Scott P. MacLachlan and
C. W. Oosterlee Local Fourier analysis for multigrid
with overlapping smoothers applied to
systems of PDEs . . . . . . . . . . . . 751--774
Xiaoji Liu and
Guangping Zhou and
Yaoming Yu Note on the iterative methods for
computing the generalized inverse over
Banach spaces . . . . . . . . . . . . . 775--787
A. El maliki and
R. Guénette and
M. Fortin An efficient hierarchical preconditioner
for quadratic discretizations of finite
element problems . . . . . . . . . . . . 789--803
Tijmen P. Collignon and
Martin B. van Gijzen Minimizing synchronization in $ {\rm
IDR}(s) $ . . . . . . . . . . . . . . . 805--825
Yingxiong Xiao and
Shi Shu A robust preconditioner for higher order
finite element discretizations in linear
elasticity . . . . . . . . . . . . . . . 827--842
Chengjian Zhang and
Hao Chen and
Leiming Wang Strang-type preconditioners applied to
ordinary and neutral
differential-algebraic equations . . . . 843--855
Jiao-fen Li and
Xi-yan Hu and
Lei Zhang Numerical solutions of $ A X B = C $ for
centrosymmetric matrix $X$ under a
specified submatrix constraint . . . . . 857--873
Yang Cao and
Mei-Qun Jiang and
Ying-Long Zheng A splitting preconditioner for saddle
point problems . . . . . . . . . . . . . 875--895
Michele Benzi Numerical Solution of Markov Chains . . 897--900
Hal Caswell Perturbation analysis of continuous-time
absorbing Markov chains . . . . . . . . 901--917
Peter Buchholz Bounding reward measures of Markov
models using the Markov decision
processes . . . . . . . . . . . . . . . 919--930
Tu\ugrul Dayar and
Holger Hermanns and
David Spieler and
Verena Wolf Bounding the equilibrium distribution of
Markov population models . . . . . . . . 931--946
Roger B. Sidje Inexact uniformization and GMRES methods
for large Markov chains . . . . . . . . 947--960
Hans De Sterck and
Killian Miller and
Eran Treister and
Irad Yavneh Fast multilevel methods for Markov
chains . . . . . . . . . . . . . . . . . 961--980
Dario A. Bini and
Beatrice Meini and
Federico Poloni On the solution of a quadratic vector
equation arising in Markovian Binary
Trees . . . . . . . . . . . . . . . . . 981--991
Jung Woo Baek and
Ho Woo Lee and
Se Won Lee and
Soohan Ahn A Markov-modulated fluid flow queueing
model under $D$-policy . . . . . . . . . 993--1010
Michele Benzi and
Verena Kuhlemann Restricted additive Schwarz methods for
Markov chains . . . . . . . . . . . . . 1011--1029
Ana Bu\vsi\'c and
Jean-Michel Fourneau Iterative component-wise bounds for the
steady-state distribution of a Markov
chain . . . . . . . . . . . . . . . . . 1031--1049
I. Pultarová and
I. Marek Physiology and pathology of iterative
aggregation--disaggregation methods . . 1051--1065
Elvio Gilberto Amparore and
Susanna Donatelli Revisiting the matrix-free solution of
Markov regenerative processes . . . . . 1067--1083
Anonymous Issue Information . . . . . . . . . . . 1--3
Ng Michael and
Raymond Chan and
Xiaojun Chen and
Liqun Qi and
Franklin Luk and
Michael Ng and
Eugene Tyrtyshnikov Structured matrices and tensors . . . . 1--2
Silvia Noschese and
Lothar Reichel Generalized circulant Strang-type
preconditioners . . . . . . . . . . . . 3--17
Joohwan Chun and
Jaehyun Park An efficient algorithm for clustered
integer least squares problems . . . . . 19--30
R. Cavoretto and
A. De Rossi and
M. Donatelli and
S. Serra-Capizzano Spectral analysis and preconditioning
techniques for radial basis function
collocation matrices . . . . . . . . . . 31--52
Martin Stoll and
Andy Wathen Preconditioning for partial differential
equation constrained optimization with
control constraints . . . . . . . . . . 53--71
Jun-Feng Yin and
Guo-Jian Yin and
Michael Ng On adaptively accelerated Arnoldi method
for computing PageRank . . . . . . . . . 73--85
Spike T. Lee and
Xin Liu and
Hai-Wei Sun Fast exponential time integration scheme
for option pricing with jumps . . . . . 87--101
D. V. Savostyanov and
E. E. Tyrtyshnikov and
N. L. Zamarashkin Fast truncation of mode ranks for
bilinear tensor operations . . . . . . . 103--111
Chen Ling and
Xinzhen Zhang and
Liqun Qi Semidefinite relaxation approximation
for multivariate bi-quadratic
optimization with quadratic constraints 113--131
Wolfgang Hackbusch and
Boris N. Khoromskij and
Stefan Sauter and
Eugene E. Tyrtyshnikov Use of tensor formats in elliptic
eigenvalue problems . . . . . . . . . . 133--151
Fang Li and
Michael K. Ng and
Robert J. Plemmons Coupled segmentation and
denoising/deblurring models for
hyperspectral material identification 153--173
J. E. Dendy, Jr. Multigrid methods . . . . . . . . . . . 175--177
M. Brezina and
C. Ketelsen and
T. Manteuffel and
S. McCormick and
M. Park and
J. Ruge Relaxation-corrected bootstrap algebraic
multigrid ($r$BAMG) . . . . . . . . . . 178--193
Irad Yavneh and
Marion Weinzierl Nonsymmetric Black Box multigrid with
coarsening by three . . . . . . . . . . 194--209
Maximilian Emans Krylov-accelerated algebraic multigrid
for semi-definite and nonsymmetric
systems in computational fluid dynamics 210--231
B. Reps and
W. Vanroose Analyzing the wave number dependency of
the convergence rate of a multigrid
preconditioned Krylov method for the
Helmholtz equation with an absorbing
layer . . . . . . . . . . . . . . . . . 232--252
P. Ghysels and
P. Klosiewicz and
W. Vanroose Improving the arithmetic intensity of
multigrid with the help of polynomial
smoothers . . . . . . . . . . . . . . . 253--267
Daniel Ritter and
Ulrich Rüde Experimental analysis of a Fast Adaptive
Composite-based grid expansion scheme
for open boundary problems . . . . . . . 268--278
James Brannick and
Yao Chen and
Ludmil Zikatanov An algebraic multilevel method for
anisotropic elliptic equations based on
subgraph matching . . . . . . . . . . . 279--295
Jacob B. Schroder Smoothed aggregation solvers for
anisotropic diffusion . . . . . . . . . 296--312
Marianne Akian and
Sylvie Detournay Multigrid methods for two-player
zero-sum stochastic games . . . . . . . 313--342
M. Brezina and
J. Garcia and
T. Manteuffel and
S. McCormick and
J. Ruge and
L. Tang Parallel adaptive mesh refinement for
first-order system least squares . . . . 343--366
Peter Bastian and
Markus Blatt and
Robert Scheichl Algebraic multigrid for discontinuous
Galerkin discretizations of
heterogeneous elliptic problems . . . . 367--388
S. P. MacLachlan and
J. D. Moulton and
T. P. Chartier Robust and adaptive multigrid methods:
comparing structured and algebraic
approaches . . . . . . . . . . . . . . . 389--413
I. V. Lashuk and
P. S. Vassilevski Element agglomeration coarse
Raviart--Thomas spaces with improved
approximation properties . . . . . . . . 414--426
Victoria E. Howle and
Robert C. Kirby Block preconditioners for finite element
discretization of incompressible flow
with thermal convection . . . . . . . . 427--440
Anonymous Issue Information . . . . . . . . . . . i--iii
Marian Brezina and
Petr Van\vek and
Panayot S. Vassilevski An improved convergence analysis of
smoothed aggregation algebraic multigrid 441--469
James Brannick and
Durkbin Cho An auxiliary space preconditioner for
linear elasticity based on the
generalized finite element method . . . 471--484
Jok M. Tang and
Yousef Saad A probing method for computing the
diagonal of a matrix inverse . . . . . . 485--501
Xu Kong and
Yao-Lin Jiang Subtracting a best rank-1 approximation
from $ p \times p \times 2 (p \geq 2) $
tensors . . . . . . . . . . . . . . . . 503--523
Dan Li and
Chen Greif and
Dominik Schötzau Parallel numerical solution of the
time-harmonic Maxwell equations in mixed
form . . . . . . . . . . . . . . . . . . 525--539
Yun-Hai Xiao and
Zheng-Fen Jin An alternating direction method for
linear-constrained matrix nuclear norm
minimization . . . . . . . . . . . . . . 541--554
Yong Zhang and
Ting-Zhu Huang and
Yan-Fei Jing and
Liang Li Flexible incomplete Cholesky
factorization with multi-parameters to
control the number of nonzero elements
in preconditioners . . . . . . . . . . . 555--569
Chuan-Long Wang and
Guo-Yan Meng A practical two-term acceleration
algorithm for linear systems . . . . . . 571--583
Oleksandr Gomilko and
Federico Greco and
Krystyna Zi\ketak A Padé family of iterations for the
matrix sign function and related
problems . . . . . . . . . . . . . . . . 585--605
X.-W. Chang On the perturbation of the $Q$-factor of
the $ Q R $ factorization . . . . . . . 607--619
Anonymous Issue Information . . . . . . . . . . . i--iii
Christopher Linsenmann On the convergence of right transforming
iterations for the numerical solution of
PDE-constrained optimization problems 621--638
Huaian Diao and
Hua Xiang and
Yimin Wei Mixed, componentwise condition numbers
and small sample statistical condition
estimation of Sylvester equations . . . 639--654
Rosemary A. Renaut and
Youzuo Lin and
Hongbin Guo Multisplitting for regularized least
squares with Krylov subspace recycling 655--676
R. Ku\vcera and
T. Kozubek and
A. Markopoulos and
J. Machalová On the Moore--Penrose inverse in solving
saddle-point systems with singular
diagonal blocks . . . . . . . . . . . . 677--699
L. Amodei and
J.-M. Buchot A stabilization algorithm of the
Navier--Stokes equations based on
algebraic Bernoulli equation . . . . . . 700--727
V. Kosti\'c and
R. S. Varga and
L. Cvetkovi\'c Localization of generalized eigenvalues
by Cartesian ovals . . . . . . . . . . . 728--741
Rong Huang On parametrization of totally
nonpositive matrices and applications 742--753
Luca Bergamaschi On eigenvalue distribution of
constraint-preconditioned symmetric
saddle point matrices . . . . . . . . . 754--772
B. Lee Space-angle-energy multigrid methods for
$ S_n $ discretizations of the
multi-energetic Boltzmann equation . . . 773--795
Anonymous Issue Information . . . . . . . . . . . i--iii
Massimiliano Ferronato and
Carlo Janna and
Giorgio Pini Efficient parallel solution to
large-size sparse eigenproblems with
block FSAI preconditioning . . . . . . . 797--815
John W. Pearson and
Andrew J. Wathen A new approximation of the Schur
complement in preconditioners for
PDE-constrained optimization . . . . . . 816--829
Liping Zhang and
Liqun Qi Linear convergence of an algorithm for
computing the largest eigenvalue of a
nonnegative tensor . . . . . . . . . . . 830--841
Jens Kemper Long-time behavior of the proper
orthogonal decomposition method . . . . 842--868
Christof Vömel A note on generating finer-grain
parallelism in a representation tree . . 869--879
Kui Du and
Olavi Nevanlinna A note on $ \mathbb {R} $-linear GMRES
for solving a class of $ \mathbb {R}
$-linear systems . . . . . . . . . . . . 880--884
Davod Khojasteh Salkuyeh and
Shiva Behnejad Errata: `Modified Hermitian and
skew-Hermitian splitting methods for
non-Hermitian positive-definite linear
systems' [Numer. Linear Algebra Appl.
\bf 14 (2007) 217--235] . . . . . . . . 885--890
Zhong-Zhi Bai and
Michael K. Ng Erratum . . . . . . . . . . . . . . . . 891--891
Anonymous Issue Information . . . . . . . . . . . i--iii
Anonymous Issue Information . . . . . . . . . . . 1--3
Zhong-Zhi Bai and
Iain S. Duff and
Lothar Reichel and
Zhong-Ci Shi Innovative methods and theories in
numerical algebra . . . . . . . . . . . 893--895
Marco Donatelli and
Arthur Neuman and
Lothar Reichel Square regularization matrices for large
linear discrete ill-posed problems . . . 896--913
Zhong-Zhi Bai Block alternating splitting implicit
iteration methods for saddle-point
problems from time-harmonic eddy current
models . . . . . . . . . . . . . . . . . 914--936
Claude Brezinski and
Paraskevi Fika and
Marilena Mitrouli Moments of a linear operator, with
applications to the trace of the inverse
of matrices and the solution of
equations . . . . . . . . . . . . . . . 937--953
Xin-Guo Liu and
Na Zhao Linearization estimates of the backward
errors for least squares problems . . . 954--969
James V. Lambers Explicit high-order time stepping based
on componentwise application of
asymptotic block Lanczos iteration . . . 970--991
J. Xia A robust inner--outer hierarchically
semi-separable preconditioner . . . . . 992--1016
Lei Wang and
Heng Liang and
Fengshan Bai and
Yan Huo A load balancing strategy for parallel
computation of sparse permanents . . . . 1017--1030
Peter Benner and
Zoran Tomljanovi\'c and
Ninoslav Truhar Optimal damping of selected
eigenfrequencies using dimension
reduction . . . . . . . . . . . . . . . 1--17
Zhao Li and
Qingxiang Xu and
Yimin Wei A note on stable perturbations of
Moore--Penrose inverses . . . . . . . . 18--26
Jonas Ballani and
Lars Grasedyck A projection method to solve linear
systems in tensor format . . . . . . . . 27--43
Huaian Diao and
Weiguo Wang and
Yimin Wei and
Sanzheng Qiao On condition numbers for Moore--Penrose
inverse and linear least squares problem
involving Kronecker products . . . . . . 44--59
Yonghui Liu and
Yongge Tian Hermitian-type generalized singular
value decomposition with applications 60--73
Shawn Eastwood and
Justin W. L. Wan Finding off-diagonal entries of the
inverse of a large symmetric sparse
matrix . . . . . . . . . . . . . . . . . 74--92
Liuqiang Zhong and
Shi Shu and
Junxian Wang and
J. Xu Two-grid methods for time-harmonic
Maxwell equations . . . . . . . . . . . 93--111
Volker Mehrmann and
Federico Poloni A generalized structured doubling
algorithm for the numerical solution of
linear quadratic optimal control
problems . . . . . . . . . . . . . . . . 112--137
Xiao Shan Chen and
Wen Li Sensitivity analysis for the generalized
singular value decomposition . . . . . . 138--149
Peter Benner and
Thomas Mach The preconditioned inverse iteration for
hierarchical matrices . . . . . . . . . 150--166
E. K-W. Chu and
W.-W. Lin and
L. Reichel Special issue dedicated to Biswa Nath
Datta on the occasion of his 70th
birthday . . . . . . . . . . . . . . . . 167--170
Johnathan M. Bardsley and
Albert Parker and
Antti Solonen and
Marylesa Howard Krylov space approximate Kalman
filtering . . . . . . . . . . . . . . . 171--184
N. Bebiano and
S. Furtado and
J. da Providência An algorithm for constructing a
pseudo-Jacobi matrix from given spectral
data . . . . . . . . . . . . . . . . . . 185--197
Djillali Bouagada and
Paul Van Dooren On the stability of $2$D state-space
models . . . . . . . . . . . . . . . . . 198--207
A. Bouhamidi and
M. Hached and
M. Heyouni and
K. Jbilou A preconditioned block Arnoldi method
for large Sylvester matrix equations . . 208--219
Pawel Dabkowski and
Krzysztof Galkowski and
Olivier Bachelier and
Eric Rogers and
Anton Kummert and
James Lam Strong practical stability and
stabilization of uncertain discrete
linear repetitive processes . . . . . . 220--233
M. Dosso and
M. Sadkane On the strong stability of symplectic
matrices . . . . . . . . . . . . . . . . 234--249
Per Christian Hansen Oblique projections and standard-form
transformations for discrete inverse
problems . . . . . . . . . . . . . . . . 250--258
Wei-Qiang Huang and
Tiexiang Li and
Yung-Ta Li and
Wen-Wei Lin A semiorthogonal generalized Arnoldi
method and its variations for quadratic
eigenvalue problems . . . . . . . . . . 259--280
L. H. Keel and
T. F. Stratton and
S. P. Bhattacharyya Robust Hurwitz and Schur stability via
interval positivity . . . . . . . . . . 281--290
T. Li and
E. K-W. Chu Pole assignment for linear and quadratic
systems with time-delay in control . . . 291--301
Silvia Noschese and
Lionello Pasquini and
Lothar Reichel Tridiagonal Toeplitz matrices:
properties and novel applications . . . 302--326
H. Özbay Computation of $ H_\infty $ controllers
for infinite dimensional plants using
numerical linear algebra . . . . . . . . 327--335
Ricardo L. Soto A family of realizability criteria for
the real and symmetric nonnegative
inverse eigenvalue problem . . . . . . . 336--336
W. Trench Inverse problems for unilevel block $
\alpha $-circulants . . . . . . . . . . 349--356
Alessandro N. Vargas and
Walter Furloni and
João B. R. do Val Second moment constraints and the
control problem of Markov jump linear
systems . . . . . . . . . . . . . . . . 357--368
Qiang Ye and
Weifeng Zhi Analysis of alignment algorithms with
mixed dimensions for dimensionality
reduction . . . . . . . . . . . . . . . 369--384
Haifeng Zhao and
Liang Yan and
Jijun Liu On the interface identification of free
boundary problem by method of
fundamental solution . . . . . . . . . . 385--396
Jonathan D. Hogg and
Jennifer A. Scott An efficient analyse phase for element
problems . . . . . . . . . . . . . . . . 397--412
A. Barreras and
J. M. Peña Accurate computations of matrices with
bidiagonal decomposition using methods
for totally positive matrices . . . . . 413--424
Zhong-Zhi Bai and
Li-Li Zhang Modulus-based synchronous multisplitting
iteration methods for linear
complementarity problems . . . . . . . . 425--439
Bruno Iannazzo and
Federico Poloni A subspace shift technique for
nonsymmetric algebraic Riccati equations
associated with an $M$-matrix . . . . . 440--452
Hans De Sterck Steepest descent preconditioning for
nonlinear GMRES optimization . . . . . . 453--471
Susanne C. Brenner and
Eun-Hee Park and
Li-Yeng Sung A balancing domain decomposition by
constraints preconditioner for a weakly
over-penalized symmetric interior
penalty method . . . . . . . . . . . . . 472--491
Steven J. Leon and
Åke Björck and
Walter Gander Gram--Schmidt orthogonalization: 100
years and more . . . . . . . . . . . . . 492--532
Zhi-Hao Cao Comment on `\booktitlePreconditioning of
matrices partitioned in $ 2 \times 2 $
block form: Eigenvalue estimates and
Schwarz DD for mixed FEM' by Owe
Axelsson, Radim Blaheta . . . . . . . . 533--535
Owe Axelsson and
Radim Blaheta Response to Comment on
`\booktitlePreconditioning of matrices
partitioned in $ 2 \times 2 $ block
form: Eigenvalue estimates and Schwarz
DD for mixed FEM' by Owe Axelsson, Radim
Blaheta . . . . . . . . . . . . . . . . 536--539
Anonymous Issue Information . . . . . . . . . . . i--iii
Alfio Borzi and
Cornelis W. Oosterlee Fast solvers for simulation, inversion,
and control of wave propagation problems 539--540
Daniele Boffi and
Annalisa Buffa and
Lucia Gastaldi Convergence analysis for hyperbolic
evolution problems in mixed form . . . . 541--556
M. A. Botchev A block Krylov subspace time-exact
solution method for linear ordinary
differential equation systems . . . . . 557--574
Siegfried Cools and
Wim Vanroose Local Fourier analysis of the complex
shifted Laplacian preconditioner for
Helmholtz problems . . . . . . . . . . . 575--597
M. J. Ruijter and
C. W. Oosterlee and
R. F. T. Aalbers On the Fourier cosine series expansion
method for stochastic control problems 598--625
P. Salinas and
C. Rodrigo and
F. J. Gaspar and
F. J. Lisbona Multigrid methods for cell-centered
discretizations on triangular meshes . . 626--644
A. H. Sheikh and
D. Lahaye and
C. Vuik On the convergence of shifted Laplace
preconditioner combined with multilevel
deflation . . . . . . . . . . . . . . . 645--662
Henri Calandra and
Serge Gratton and
Xavier Pinel and
Xavier Vasseur An improved two-grid preconditioner for
the solution of three-dimensional
Helmholtz problems in heterogeneous
media . . . . . . . . . . . . . . . . . 663--688
R. Mancini and
S. Volkwein An inverse scattering problem for the
time-dependent Maxwell equations:
nonlinear optimization and model-order
reduction . . . . . . . . . . . . . . . 689--711
Anonymous Issue Information . . . . . . . . . . . i--iii
Yongge Tian Least-squares solutions and least-rank
solutions of the matrix equation $ A X
A^* = B $ and their relations . . . . . 713--722
Owe Axelsson and
Maya Neytcheva A general approach to analyse
preconditioners for two-by-two block
matrices . . . . . . . . . . . . . . . . 723--742
S. Le Borne and
J. S. Ovall Rapid error reduction for block
Gauss--Seidel based on $p$-hierarchical
basis . . . . . . . . . . . . . . . . . 743--760
Markus Kollmann and
Michael Kolmbauer A preconditioned MinRes solver for
time-periodic parabolic optimal control
problems . . . . . . . . . . . . . . . . 761--784
J. Pestana and
A. J. Wathen Combination preconditioning of saddle
point systems for positive definiteness 785--808
David F. Gleich and
Chen Greif and
James M. Varah The power and Arnoldi methods in an
algebra of circulants . . . . . . . . . 809--831
Guozhu Yu and
Jinchao Xu and
Ludmil T. Zikatanov Analysis of a two-level method for
anisotropic diffusion equations on
aligned and nonaligned grids . . . . . . 832--851
Karl Meerbergen and
Christian Schröder and
Heinrich Voss A Jacobi--Davidson method for
two-real-parameter nonlinear eigenvalue
problems arising from delay-differential
equations . . . . . . . . . . . . . . . 852--868
Ivar Gustafsson and
Gunhild Lindskog On parallel solution of linear
elasticity problems. Part III: higher
order finite elements . . . . . . . . . 869--887
Anonymous Issue Information . . . . . . . . . . . i--iii
Lek-Heng Lim and
Michael K. Ng and
Liqun Qi The spectral theory of tensors and its
applications . . . . . . . . . . . . . . 889--890
Kungching Chang and
Liqun Qi and
Tan Zhang A survey on the spectral theory of
nonnegative tensors . . . . . . . . . . 891--912
Guanglu Zhou and
Liqun Qi and
Soon-Yi Wu On the largest eigenvalue of a symmetric
nonnegative tensor . . . . . . . . . . . 913--928
L. P. Zhang and
L. Q. Qi and
Z. Y. Luo and
Y. Xu The dominant eigenvalue of an
essentially nonnegative tensor . . . . . 929--941
S. Friedland and
V. Mehrmann and
R. Pajarola and
S. K. Suter On best rank one approximation of
tensors . . . . . . . . . . . . . . . . 942--955
Todd F. Dupont and
L. Ridgway Scott The power method for tensor
eigenproblems and limiting directions of
Newton iterates . . . . . . . . . . . . 956--971
Shenglong Hu and
Zheng-Hai Huang and
Liqun Qi Finding the extreme $Z$-eigenvalues of
tensors via a sequential semidefinite
programming method . . . . . . . . . . . 972--984
Wen Li and
Lu-Bin Cui and
Michael K. Ng The perturbation bound for the Perron
vector of a transition probability
tensor . . . . . . . . . . . . . . . . . 985--1000
Guoyin Li and
Liqun Qi and
Gaohang Yu The $Z$-eigenvalues of a symmetric
tensor and its application to spectral
hypergraph theory . . . . . . . . . . . 1001--1029
Jinshan Xie and
An Chang On the $Z$-eigenvalues of the signless
Laplacian tensor for an even uniform
hypergraph . . . . . . . . . . . . . . . 1030--1045
Anonymous Issue Information . . . . . . . . . . . i--iii
Michael J. O'Hara On the perturbation of rank-one
symmetric tensors . . . . . . . . . . . 1--12
A. N. Malyshev and
M. Sadkane Fast solution of unsymmetric banded
Toeplitz systems by means of spectral
factorizations and Woodbury's formula 13--23
Yunrong Zhu Analysis of a multigrid preconditioner
for Crouzeix--Raviart discretization of
elliptic partial differential equation
with jump coefficients . . . . . . . . . 24--38
Chaoqian Li and
Yaotang Li and
Xu Kong New eigenvalue inclusion sets for
tensors . . . . . . . . . . . . . . . . 39--50
Jennifer Scott and
Yifan Hu Level-based heuristics and hill climbing
for the antibandwidth maximization
problem . . . . . . . . . . . . . . . . 51--67
Igor Moret and
Marina Popolizio The restarted shift-and-invert Krylov
method for matrix functions . . . . . . 68--80
John W. Pearson and
Martin Stoll and
Andrew J. Wathen Preconditioners for state-constrained
optimal control problems with
Moreau--Yosida penalty function . . . . 81--97
Guanghui Cheng and
Zhida Song and
Jianfeng Yang and
Jia Si The bounds of the eigenvalues for
rank-one modification of Hermitian
matrix . . . . . . . . . . . . . . . . . 98--107
Zhong-Zhi Bai and
Raymond H. Chan and
Zhi-Ru Ren On order-reducible sinc discretizations
and block-diagonal preconditioning
methods for linear third-order ordinary
differential equations . . . . . . . . . 108--135
Bedrich Sousedík and
Roger G. Ghanem and
Eric T. Phipps Hierarchical Schur complement
preconditioner for the stochastic
Galerkin finite element methods:
Dedicated to Professor Ivo Marek on the
occasion of his 80th birthday. . . . . . 136--151
Lev A. Krukier and
Boris L. Krukier and
Zhi-Ru Ren Generalized skew-Hermitian triangular
splitting iteration methods for
saddle-point linear systems . . . . . . 152--170
Shi-Liang Wu and
Luca Bergamaschi and
Cui-Xia Li A note on eigenvalue distribution of
constraint-preconditioned symmetric
saddle point matrices . . . . . . . . . 171--174
Anonymous Issue information . . . . . . . . . . . i--iii
J. E. Dendy, Jr. Multigrid methods 2013 . . . . . . . . . 175--176
Ira Livshits A scalable multigrid method for solving
indefinite Helmholtz equations with
constant wave numbers . . . . . . . . . 177--193
Scott P. MacLachlan and
Luke N. Olson Theoretical bounds for algebraic
multigrid performance: review and
analysis . . . . . . . . . . . . . . . . 194--220
Cao Lu and
Xiangmin Jiao and
Nikolaos Missirlis A hybrid geometric $+$ algebraic
multigrid method with semi-iterative
smoothers . . . . . . . . . . . . . . . 221--238
Marian Brezina and
Alireza Doostan and
Tom Manteuffel and
Steve McCormick and
John Ruge Smoothed aggregation algebraic multigrid
for stochastic PDE problems with layered
materials . . . . . . . . . . . . . . . 239--255
Jing Zhao and
Edwin A. H. Vollebregt and
Cornelis W. Oosterlee Multigrid with FFT smoother for a
simplified $2$D frictional contact
problem . . . . . . . . . . . . . . . . 256--274
Panayot S. Vassilevski and
Ulrike Meier Yang Reducing communication in algebraic
multigrid using additive variants . . . 275--296
Anonymous Issue Information . . . . . . . . . . . i--iii
Anonymous Issue information . . . . . . . . . . . i--iii
Panayot S. Vassilevski and
Ludmil T. Zikatanov Commuting projections on graphs . . . . 297--315
Fermín S. Viloche Bazán and
Maria C. C. Cunha and
Leonardo S. Borges Extension of GKB--FP algorithm to
large-scale general-form Tikhonov
regularization . . . . . . . . . . . . . 316--339
Stefan Kindermann and
Carmeliza Navasca New algorithms for tensor decomposition
based on a reduced functional . . . . . 340--374
Johannes Kraus and
Maria Lymbery and
Svetozar Margenov Robust multilevel methods for quadratic
finite element anisotropic elliptic
problems . . . . . . . . . . . . . . . . 375--398
Cui Guo and
Hua Xiang A note on the upper bound in SA AMG
convergence analysis . . . . . . . . . . 399--402
R. O. Akinola and
M. A. Freitag and
A. Spence The calculation of the distance to a
nearby defective matrix . . . . . . . . 403--414
T. A. Wiesner and
R. S. Tuminaro and
W. A. Wall and
M. W. Gee Multigrid transfers for nonsymmetric
systems based on Schur complements and
Galerkin projections . . . . . . . . . . 415--438
F. Soleymani A fast convergent iterative solver for
approximate inverse of matrices . . . . 439--452
Abdou M. Abdel-Rehim and
Ronald B. Morgan and
Walter Wilcox Improved seed methods for symmetric
positive definite linear equations with
multiple right-hand sides . . . . . . . 453--471
Anonymous Issue information . . . . . . . . . . . i--iii
A. M. Abdel-Rehim and
Andreas Stathopoulos and
Kostas Orginos Extending the eigCG algorithm to
nonsymmetric Lanczos for linear systems
with multiple right-hand sides . . . . . 473--493
S. Ragni Rational Krylov methods in exponential
integrators for European option pricing 494--512
Siegfried Cools and
Bram Reps and
Wim Vanroose A new level-dependent coarse grid
correction scheme for indefinite
Helmholtz problems . . . . . . . . . . . 513--533
Ljiljana Cvetkovi\'c and
Vladimir Kosti\'c A note on the convergence of the MSMAOR
method for linear complementarity
problems . . . . . . . . . . . . . . . . 534--539
M. Myllykoski and
T. Rossi A parallel radix-$4$ block cyclic
reduction algorithm . . . . . . . . . . 540--556
Shu-Qian Shen and
Ling Jian and
Wen-Di Bao and
Ting-Zhu Huang On the eigenvalue distribution of
preconditioned nonsymmetric saddle point
matrices . . . . . . . . . . . . . . . . 557--568
Daniel Kressner and
Jose E. Roman Memory-efficient Arnoldi algorithms for
linearizations of matrix polynomials in
Chebyshev basis . . . . . . . . . . . . 569--588
Anonymous Issue Information . . . . . . . . . . . i--iii
Silvia Noschese and
Lothar Reichel Inverse subspace problems with
applications . . . . . . . . . . . . . . 589--603
Klaus Neymeyr and
Ming Zhou Iterative minimization of the Rayleigh
quotient by block steepest descent
iterations . . . . . . . . . . . . . . . 604--617
Wiebe R. Pestman and
Rolf H. H. Groenwold and
Steven Teerenstra Comparison of strategies when building
linear prediction models . . . . . . . . 618--628
S. Amat and
J. A. Ezquerro and
M. A. Hernández-Verón Approximation of inverse operators by a
new family of high-order iterative
methods . . . . . . . . . . . . . . . . 629--644
Peter Benner and
Grece El Khoury and
Miloud Sadkane On the squared Smith method for
large-scale Stein equations . . . . . . 645--665
Daniel Kressner and
Martin Ple\vsinger and
Christine Tobler A preconditioned low-rank CG method for
parameter-dependent Lyapunov matrix
equations . . . . . . . . . . . . . . . 666--684
Tom S. Bertalan and
Akand W. Islam and
Roger B. Sidje and
Eric S. Carlson OpenMG: a new multigrid implementation
in Python . . . . . . . . . . . . . . . 685--700
Ken Hayami and
Masaaki Sugihara Corrigendum to: A geometric view of
Krylov subspace methods on singular
systems . . . . . . . . . . . . . . . . 701--702
Anonymous Issue Information . . . . . . . . . . . i--iii
Riadh Fezzani and
Laura Grigori and
Frédéric Nataf and
Ke Wang Block filtering decomposition . . . . . 703--721
A. S. Al-Fhaid and
S. Serra-Capizzano and
D. Sesana and
M. Zaka Ullah Singular-value (and eigenvalue)
distribution and Krylov preconditioning
of sequences of sampling matrices
approximating integral operators . . . . 722--743
Terry A. Loring Computing a logarithm of a unitary
matrix with general spectrum . . . . . . 744--760
N. Huang and
C. F. Ma Some predictor--corrector-type iterative
schemes for solving nonsymmetric
algebraic Riccati equations arising in
transport theory . . . . . . . . . . . . 761--780
M. Szularz Imposing symmetry in augmented linear
systems . . . . . . . . . . . . . . . . 781--795
S. Gazzola and
P. Novati and
M. R. Russo Embedded techniques for choosing the
parameter in Tikhonov regularization . . 796--812
Silvia Noschese and
Lothar Reichel A modified truncated singular value
decomposition method for discrete
ill-posed problems . . . . . . . . . . . 813--822
Anonymous Issue Information . . . . . . . . . . . i--iii
Martin B. van Gijzen and
Gerard L. G. Sleijpen and
Jens-Peter M. Zemke Flexible and multi-shift induced
dimension reduction algorithms for
solving large sparse linear systems . . 1--25
Yiding Lin and
Valeria Simoncini A new subspace iteration method for the
algebraic Riccati equation . . . . . . . 26--47
Laura Grigori and
Frédéric Nataf and
Long Qu Overlapping for preconditioners based on
incomplete factorizations and nested
arrow form . . . . . . . . . . . . . . . 48--75
Michael Griebel and
Alexander Hullmann and
Peter Oswald Optimal scaling parameters for sparse
grid discretizations . . . . . . . . . . 76--100
Bryan Quaife and
George Biros On preconditioners for the Laplace
double-layer in $2$D . . . . . . . . . . 101--122
Alessandro Russo and
Stefano Serra-Capizzano and
Cristina Tablino-Possio Quasi-optimal preconditioners for finite
element approximations of diffusion
dominated convection--diffusion
equations on (nearly) equilateral
triangle meshes . . . . . . . . . . . . 123--144
Fernando Guevara Vasquez and
Benjamin Z. Webb Pseudospectra of isospectrally reduced
matrices . . . . . . . . . . . . . . . . 145--174
Melina A. Freitag and
Patrick Kürschner Tuned preconditioners for inexact
two-sided inverse and Rayleigh quotient
iteration . . . . . . . . . . . . . . . 175--196
Anonymous Issue Information . . . . . . . . . . . i--iii
Sergey Dolgov and
Boris Khoromskij Simultaneous state-time approximation of
the chemical master equation using
tensor product formats . . . . . . . . . 197--219
Zvonimir Bujanovi\'c and
Zlatko Drma\vc A new framework for implicit restarting
of the Krylov--Schur algorithm . . . . . 220--232
Owe Axelsson Unified analysis of preconditioning
methods for saddle point matrices . . . 233--253
Jeffrey D. Blanchard and
Jared Tanner Performance comparisons of greedy
algorithms in compressed sensing . . . . 254--282
C. L. Hao and
C. F. Cui and
Y. H. Dai A sequential subspace projection method
for extreme $Z$-eigenvalues of
supersymmetric tensors . . . . . . . . . 283--298
Mariana Kolberg and
Gerd Bohlender and
Luiz Gustavo Fernandes An efficient approach to solve very
large dense linear systems with verified
computing on clusters . . . . . . . . . 299--316
Roman Andreev and
Christine Tobler Multilevel preconditioning and low-rank
tensor iteration for space--time
simultaneous discretizations of
parabolic PDEs . . . . . . . . . . . . . 317--337
Shi-Liang Wu Several variants of the Hermitian and
skew-Hermitian splitting method for a
class of complex symmetric linear
systems . . . . . . . . . . . . . . . . 338--356
Hao Chen Generalized Kronecker product splitting
iteration for the solution of implicit
Runge--Kutta and boundary value methods 357--370
Hakan Ba\ugcì and
Joseph E. Pasciak and
Kostyantyn Y. Sirenko A convergence analysis for a sweeping
preconditioner for block tridiagonal
systems of linear equations . . . . . . 371--392
Anonymous Issue Information . . . . . . . . . . . i--iii
Linzhang Lu and
Fei Yuan and
Ren-Cang Li A new look at the doubling algorithm for
a structured palindromic quadratic
eigenvalue problem . . . . . . . . . . . 393--409
Hans De Sterck and
Manda Winlaw A nonlinearly preconditioned conjugate
gradient algorithm for rank-$R$
canonical tensor approximation . . . . . 410--432
Yoni Levi and
Irad Yavneh Speed limit quasi splines and their
application to interpolation with
bounded first order derivative . . . . . 433--452
Daniel J. Bates and
Brent R. Davis and
Michael Kirby and
Justin Marks and
Chris Peterson The max-length-vector line of best fit
to a set of vector subspaces and an
optimization problem over a set of
hyperellipsoids . . . . . . . . . . . . 453--464
Yingxiong Xiao and
Zhiyang Zhou and
Shi Shu An efficient algebraic multigrid method
for quadratic discretizations of linear
elasticity problems on some typical
anisotropic meshes in three dimensions 465--482
A. J. N. Nielsen and
M. Weber Computing the nearest reversible Markov
chain . . . . . . . . . . . . . . . . . 483--499
Benxin Zhang and
Zhibin Zhu A modified quasi-Newton diagonal update
algorithm for total variation denoising
problems and nonlinear monotone
equations with applications in
compressive sensing . . . . . . . . . . 500--522
João R. Cardoso and
Krystyna Zi\ketak On a sub-Stiefel Procrustes problem
arising in computer vision . . . . . . . 523--547
Shinya Miyajima Fast enclosure for the minimum norm
least squares solution of the matrix
equation $ A X B = C $ . . . . . . . . . 548--563
Daniel Kressner and
Petar Sirkovi\'c Truncated low-rank methods for solving
general linear matrix equations . . . . 564--583
Anonymous Issue Information . . . . . . . . . . . i--iii
S. Amat and
J. A. Ezquerro and
M. A. Hernández-Verón On a new family of high-order iterative
methods for the matrix $p$-th root . . . 585--595
Helmut Harbrecht and
Michael Peters and
Markus Siebenmorgen Efficient approximation of random fields
for numerical applications . . . . . . . 596--617
S. Friedhoff and
S. MacLachlan A generalized predictive analysis tool
for multigrid methods . . . . . . . . . 618--647
Jonathan Hogg and
Jennifer Scott On the use of suboptimal matchings for
scaling and ordering sparse symmetric
matrices . . . . . . . . . . . . . . . . 648--663
Hari Sundar and
Georg Stadler and
George Biros Comparison of multigrid algorithms for
high-order continuous finite element
discretizations . . . . . . . . . . . . 664--680
Meng-Huo Chen and
Anne Greenbaum Analysis of an aggregation-based
algebraic two-grid method for a rotated
anisotropic diffusion problem . . . . . 681--701
Philipp Birken Termination criteria for inexact
fixed-point schemes . . . . . . . . . . 702--716
C. F. Ma and
Q. Q. Zheng The corrected Uzawa method for solving
saddle point problems . . . . . . . . . 717--730
Patricio Farrell and
Jennifer Pestana Block preconditioners for linear systems
arising from multiscale collocation with
compactly supported RBFs . . . . . . . . 731--747
Wei-wei Xu Modified modulus-based matrix splitting
iteration methods for linear
complementarity problems . . . . . . . . 748--760
Davod Hezari and
Vahid Edalatpour and
Davod Khojasteh Salkuyeh Preconditioned GSOR iterative method for
a class of complex symmetric system of
linear equations . . . . . . . . . . . . 761--776
Gang Wu and
Ting-ting Feng and
Yimin Wei An inexact shift-and-invert Arnoldi
algorithm for Toeplitz matrix
exponential . . . . . . . . . . . . . . 777--792
Anonymous Issue Information . . . . . . . . . . . i--iii
James Nagy and
Michael Ng Dedication to Robert J. Plemmons . . . . 793--794
Sebastian Berisha and
James G. Nagy and
Robert J. Plemmons Estimation of atmospheric PSF parameters
for hyperspectral imaging . . . . . . . 795--813
Weiyang Ding and
Liqun Qi and
Yimin Wei Fast Hankel tensor--vector product and
its application to exponential data
fitting . . . . . . . . . . . . . . . . 814--832
Denise K. Gosnell and
Michael W. Berry Using semidiscrete decomposition and
vector space models to identify users of
social networks . . . . . . . . . . . . 833--844
Xinxin Li and
Michael K. Ng and
Xiaoming Yuan Median filtering-based methods for
static background extraction from
surveillance video . . . . . . . . . . . 845--865
Xin Lu and
Hong-Kui Pang and
Hai-Wei Sun Fast approximate inversion of a block
triangular Toeplitz matrix with
applications to fractional sub-diffusion
equations . . . . . . . . . . . . . . . 866--882
You-Wei Wen and
Man Wang and
Zhiying Cao and
Xiaoqing Cheng and
Wai-Ki Ching and
Vassilios S. Vassiliadis Sparse solution of nonnegative least
squares problems with applications in
the construction of probabilistic
Boolean networks . . . . . . . . . . . . 883--899
Anonymous Issue Information . . . . . . . . . . . i--iii
O. Axelsson and
R. Blaheta and
M. Neytcheva and
I. Pultarov\`a Preconditioning of iterative methods ---
theory and applications . . . . . . . . 901--902
Jakub \vSístek and
Jan B\vrezina and
Bed\vrich Sousedík BDDC for mixed-hybrid formulation of
flow in porous media with combined mesh
dimensions . . . . . . . . . . . . . . . 903--929
Owe Axelsson and
Radim Blaheta and
Roman Kohut Preconditioning methods for high-order
strongly stable time integration methods
with an application for a DAE problem 930--949
Roman Ku\vzel and
Petr Van\vek Exact interpolation scheme with
approximation vector used as a column of
the prolongator . . . . . . . . . . . . 950--964
J. Kraus and
M. Lymbery and
S. Margenov Auxiliary space multigrid method based
on additive Schur complement
approximation . . . . . . . . . . . . . 965--986
Z. Dostál and
T. Kozubek and
O. Vlach and
T. Brzobohatý Reorthogonalization-based stiffness
preconditioning in FETI algorithms with
applications to variational inequalities 987--998
Chuan Chen and
Xutao Li and
Michael K. Ng and
Xiaoming Yuan Total variation based tensor
decomposition for multi-dimensional data
with time dimension . . . . . . . . . . 999--1019
Hailun Shen and
Hua Xiang Uzawa algorithms with variable
relaxation for nonsymmetric generalized
saddle point problems . . . . . . . . . 1020--1038
Pablo Salas and
Luc Giraud and
Yousef Saad and
Stéphane Moreau Spectral recycling strategies for the
solution of nonlinear eigenproblems in
thermoacoustics . . . . . . . . . . . . 1039--1058
Yiju Wang and
Louis Caccetta and
Guanglu Zhou Convergence analysis of a block
improvement method for polynomial
optimization over unit spheres . . . . . 1059--1076
P. Tsuji and
R. Tuminaro Augmented AMG-shifted Laplacian
preconditioners for indefinite Helmholtz
problems . . . . . . . . . . . . . . . . 1077--1101
Sivaram Ambikasaran Generalized Rybicki Press algorithm . . 1102--1114
Hanyu Li and
Yimin Wei Improved rigorous perturbation bounds
for the LU and QR factorizations . . . . 1115--1130
Karl Meerbergen and
Bor Plestenjak A Sylvester--Arnoldi type method for the
generalized eigenvalue problem with
two-by-two operator determinants . . . . 1131--1146
M. S. Litsarev and
I. V. Oseledets Fast low-rank approximations of
multidimensional integrals in ion-atomic
collisions modelling . . . . . . . . . . 1147--1160
Assi N'Guessan and
Issa Cherif Geraldo A cyclic algorithm for maximum
likelihood estimation using Schur
complement . . . . . . . . . . . . . . . 1161--1179
Gang Wu and
Ting-Ting Feng A theoretical contribution to the fast
implementation of null linear
discriminant analysis with random matrix
multiplication . . . . . . . . . . . . . 1180--1188
Anonymous Issue Information . . . . . . . . . . . 1--3
Barry Lee Parallel preconditioners and multigrid
solvers for stochastic polynomial chaos
discretizations of the diffusion
equation at the large scale . . . . . . 5--36
Zhong-Zhi Bai On SSOR-like preconditioners for
non-Hermitian positive definite matrices 37--60
Artem Napov and
Xiaoye S. Li An algebraic multifrontal preconditioner
that exploits the low-rank property . . 61--82
Marco Donatelli and
Carlo Garoni and
Mariarosa Mazza and
Stefano Serra-Capizzano and
Debora Sesana Preconditioned HSS method for large
multilevel block Toeplitz linear systems
via the notion of matrix-valued symbol 83--119
Hui Liu and
Kun Wang and
Zhangxin Chen A family of constrained pressure
residual preconditioners for parallel
reservoir simulations . . . . . . . . . 120--146
Volker Mehrmann and
Federico Poloni An inverse-free ADI algorithm for
computing Lagrangian invariant subspaces 147--168
Federico Poloni and
Timo Reis A structure-preserving doubling
algorithm for Luré equations . . . . . . 169--186
Silvia Gazzola and
Enyinda Onunwor and
Lothar Reichel and
Giuseppe Rodriguez On the Lanczos and Golub--Kahan
reduction methods applied to discrete
ill-posed problems . . . . . . . . . . . 187--204
Anonymous Issue Information . . . . . . . . . . . 205--207
Bruno Iannazzo The geometric mean of two matrices from
a computational viewpoint . . . . . . . 208--229
A. Yu. Mikhalev and
I. V. Oseledets Iterative representing set selection for
nested cross approximation . . . . . . . 230--248
Venera Khoromskaia and
Boris N. Khoromskij Fast tensor method for summation of
long-range potentials on $3$D lattices
with defects . . . . . . . . . . . . . . 249--271
Vladimir R. Kosti\'c and
Agnieszka Mi\kEdlar and
Ljiljana Cvetkovi\'c An algorithm for computing minimal
Ger\vsgorin sets . . . . . . . . . . . . 272--290
Tsung-Ming Huang and
Wei-Qiang Huang and
Ren-Cang Li and
Wen-Wei Lin A new two-phase structure-preserving
doubling algorithm for critically
singular $M$-matrix algebraic Riccati
equations . . . . . . . . . . . . . . . 291--313
Arvind K. Saibaba and
Jonghyun Lee and
Peter K. Kitanidis Randomized algorithms for generalized
Hermitian eigenvalue problems with
application to computing
Karhunen--Lo\`eve expansion . . . . . . 314--339
Xue-Feng Duan and
Jian-Chao Bai and
Jiao-Fen Li and
Jing-Jing Peng On the low rank solution of the
$Q$-weighted nearest correlation matrix
problem . . . . . . . . . . . . . . . . 340--355
V. R. Kosti\'c and
Lj. Cvetkovi\'c and
D. Lj. Cvetkovi\'c Pseudospectra localizations and their
applications . . . . . . . . . . . . . . 356--372
I. Pultarová Convergence theory of exact
interpolation scheme for computing
several eigenvectors . . . . . . . . . . 373--390
Anonymous Issue Information . . . . . . . . . . . 391--393
Massimiliano Ferronato and
Carlo Janna and
Giorgio Pini Parallel Jacobi--Davidson with block
FSAI preconditioning and controlled
inner iterations . . . . . . . . . . . . 394--409
Yinbing Lu and
Jianyu Pan Shifted power method for computing
tensor $H$-eigenpairs . . . . . . . . . 410--426
Ángeles Martínez Tuned preconditioners for the
eigensolution of large SPD matrices
arising in engineering problems . . . . 427--443
Fatemeh Panjeh Ali Beik and
Farid Saberi Movahed and
Salman Ahmadi-Asl On the Krylov subspace methods based on
tensor format for positive definite
Sylvester tensor equations . . . . . . . 444--466
Caterina Fenu and
Lothar Reichel and
Giuseppe Rodriguez GCV for Tikhonov regularization via
global Golub--Kahan decomposition . . . 467--484
Shaun Bangay and
Gleb Beliakov On the fast Lanczos method for
computation of eigenvalues of Hankel
matrices using multiprecision
arithmetics . . . . . . . . . . . . . . 485--500
Serge Gratton and
Pascal Hénon and
Pavel Jiránek and
Xavier Vasseur Reducing complexity of algebraic
multigrid by aggregation . . . . . . . . 501--518
S. Gratton and
J. Tshimanga-Ilunga On a second-order expansion of the
truncated singular subspace
decomposition . . . . . . . . . . . . . 519--534
Frank Lamping and
Juan-Manuel Peña and
Tomas Sauer Spline approximation, Kronecker products
and multilinear forms . . . . . . . . . 535--557
Na Huang and
Changfeng Ma The modulus-based matrix splitting
algorithms for a class of weakly
nonlinear complementarity problems . . . 558--569
Ke Chen and
Faisal Fairag and
Adel Al-Mahdi Preconditioning techniques for an image
deblurring problem . . . . . . . . . . . 570--584
Anonymous Issue Information . . . . . . . . . . . 585--587
Xin-Guo Liu and
Wei-Guo Wang On convergence of iterative methods for
maximal correlation problems . . . . . . 588--606
Roel Van Beeumen and
Elias Jarlebring and
Wim Michiels A rank-exploiting infinite Arnoldi
algorithm for nonlinear eigenvalue
problems . . . . . . . . . . . . . . . . 607--628
Jun-Tao Hong and
Chen-Liang Li Modulus-based matrix splitting iteration
methods for a class of implicit
complementarity problems . . . . . . . . 629--641
Weiqi Zhou Triangular truncation and its extremal
matrices . . . . . . . . . . . . . . . . 642--655
Shengguo Li and
Xiangke Liao and
Jie Liu and
Hao Jiang New fast divide-and-conquer algorithms
for the symmetric tridiagonal eigenvalue
problem . . . . . . . . . . . . . . . . 656--673
Edoardo Di Napoli and
Eric Polizzi and
Yousef Saad Efficient estimation of eigenvalue
counts in an interval . . . . . . . . . 674--692
R. Estrin and
C. Greif Towards an optimal condition number of
certain augmented Lagrangian-type
saddle-point matrices . . . . . . . . . 693--705
Ruipeng Li and
Yuanzhe Xi and
Yousef Saad Schur complement-based domain
decomposition preconditioners with
low-rank corrections . . . . . . . . . . 706--729
Carmen Campos and
Jose E. Roman Parallel iterative refinement in
polynomial eigenvalue problems . . . . . 730--745
Xiaozhe Hu and
Panayot S. Vassilevski and
Jinchao Xu A two-grid SA-AMG convergence bound that
improves when increasing the polynomial
degree . . . . . . . . . . . . . . . . . 746--771
Anonymous Issue Information . . . . . . . . . . . 773--775
Benedetta Morini and
Valeria Simoncini and
Mattia Tani Spectral estimates for unreduced
symmetric KKT systems arising from
Interior Point methods . . . . . . . . . 776--800
Damiana Lazzaro A nonconvex approach to low-rank matrix
completion using convex optimization . . 801--824
Juan Carlos Arismendi and
Herbert Kimura Monte Carlo approximate tensor moment
simulations . . . . . . . . . . . . . . 825--847
Daniel Maurer and
Christian Wieners A scalable parallel factorization of
finite element matrices with distributed
Schur complements . . . . . . . . . . . 848--864
Serge Gratton and
Sylvain Mercier and
Nicolas Tardieu and
Xavier Vasseur Limited memory preconditioners for
symmetric indefinite problems with
application to structural mechanics . . 865--887
Emmanuel Agullo and
Luc Giraud and
Abdou Guermouche and
Jean Roman and
Mawussi Zounon Numerical recovery strategies for
parallel resilient Krylov linear solvers 888--905
Wei-Ru Xu and
Guoliang Chen and
Yi Gong Procrustes problems and inverse
eigenproblems for multilevel block $
\alpha $-circulants . . . . . . . . . . 906--930
Katsuhisa Ozaki and
Takeshi Ogita and
Shin'ichi Oishi Error-free transformation of matrix
multiplication with a posteriori
validation . . . . . . . . . . . . . . . 931--946
J. W. Gillard and
A. A. Zhigljavsky Weighted norms in subspace-based methods
for time series analysis . . . . . . . . 947--967
Anonymous Issue Information . . . . . . . . . . . 969--971
Hassan Bozorgmanesh and
Masoud Hajarian Convergence of a transition probability
tensor of a higher-order Markov chain to
the stationary probability vector . . . 972--988
Weiyang Ding and
Zongyuan Hou and
Yimin Wei Tensor logarithmic norm and its
applications . . . . . . . . . . . . . . 989--1006
Miroslav S. Prani\'c and
Lothar Reichel and
Giuseppe Rodriguez and
Zhengsheng Wang and
Xuebo Yu A rational Arnoldi process with
applications . . . . . . . . . . . . . . 1007--1022
Jorge Delgado and
Guillermo Peña and
Juan Manuel Peña Accurate and fast computations with
positive extended Schoenmakers--Coffey
matrices . . . . . . . . . . . . . . . . 1023--1031
Ronald B. Morgan and
Zhao Yang and
Baojiang Zhong Pseudoeigenvector bases and deflated
GMRES for highly nonnormal matrices . . 1032--1045
H. Barkouki and
A. H. Bentbib and
K. Jbilou A matrix rational Lanczos method for
model reduction in large-scale first-
and second-order dynamical systems . . . ??
Chuan Chen and
Michael K. Ng and
Shuqin Zhang Block spectral clustering methods for
multiple graphs . . . . . . . . . . . . ??
Yan-Fei Jing and
Pei Yuan and
Ting-Zhu Huang A simpler GMRES and its adaptive variant
for shifted linear systems . . . . . . . ??
P. Luo and
C. Rodrigo and
F. J. Gaspar and
C. W. Oosterlee On an Uzawa smoother in multigrid for
poroelasticity equations . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Zhongxiao Jia and
Wenjie Kang A residual based sparse approximate
inverse preconditioning procedure for
large sparse linear systems . . . . . . ??
Yuan Jian Extremal eigenvalue intervals of
symmetric tridiagonal interval matrices ??
Geunseop Lee and
Jesse Barlow Updating approximate principal
components with applications to template
tracking . . . . . . . . . . . . . . . . ??
L. Marioni and
J. R. Alves Z. and
E. Hachem and
F. Bay A new approach to solve complex valued
systems arising from the solution of
Maxwell equations in the frequency
domain through real-equivalent
formulations . . . . . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Silvia Noschese and
Lothar Reichel Approximated structured pseudospectra ??
Xiaowen Xu and
Zeyao Mo Algebraic interface-based coarsening AMG
preconditioner for multi-scale sparse
matrices with applications to radiation
hydrodynamics computation . . . . . . . ??
James H. Adler and
Thomas R. Benson and
Scott P. MacLachlan Preconditioning a mass-conserving
discontinuous Galerkin discretization of
the Stokes equations . . . . . . . . . . ??
David J. Appelhans and
Tom Manteuffel and
Steve McCormick and
John Ruge A low-communication, parallel algorithm
for solving PDEs based on range
decomposition . . . . . . . . . . . . . ??
Michele Benzi and
Thomas M. Evans and
Steven P. Hamilton and
Massimiliano Lupo Pasini and
Stuart R. Slattery Analysis of Monte Carlo accelerated
iterative methods for sparse linear
systems . . . . . . . . . . . . . . . . ??
Luca Bergamaschi and
Ángeles Martínez Two-stage spectral preconditioners for
iterative eigensolvers . . . . . . . . . ??
Patrick Blonigan and
Qiqi Wang Multigrid-in-time for sensitivity
analysis of chaotic dynamical systems ??
Mahadevan Ganesh and
Charles Morgenstern An efficient multigrid algorithm for
heterogeneous acoustic media
sign-indefinite high-order FEM models ??
Bo Jiang and
Fan Yang and
Shuzhong Zhang Tensor and its Tucker core: The
invariance relationships . . . . . . . . ??
Igor Konshin and
Maxim Olshanskii and
Yuri Vassilevski $ L U $ factorizations and $ I L U $
preconditioning for stabilized
discretizations of incompressible
Navier--Stokes equations . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Miloud Sadkane and
Ahmed Touhami Convergence analysis of the ChebFilterCG
algorithm . . . . . . . . . . . . . . . ??
Huy D. Vo and
Roger B. Sidje Approximating the large sparse matrix
exponential using incomplete
orthogonalization and Krylov subspaces
of variable dimension . . . . . . . . . ??
Zhong-Zhi Bai and
Kang-Ya Lu and
Jian-Yu Pan Diagonal and Toeplitz splitting
iteration methods for
diagonal-plus-Toeplitz linear systems
from spatial fractional diffusion
equations . . . . . . . . . . . . . . . ??
Alessandro Buccini and
Marco Donatelli and
Lothar Reichel Iterated Tikhonov regularization with a
general penalty term . . . . . . . . . . ??
Tobias Damm and
Hermann Mena and
Tony Stillfjord Numerical solution of the finite horizon
stochastic linear quadratic control
problem . . . . . . . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Guojian Yin and
Raymond H. Chan and
Man-Chung Yeung A FEAST algorithm with oblique
projection for generalized eigenvalue
problems . . . . . . . . . . . . . . . . ??
Kim Batselier and
Ngai Wong A constructive arbitrary-degree
Kronecker product decomposition of
tensors . . . . . . . . . . . . . . . . ??
Guoyi Ke and
Eugenio Aulisa and
Giorgio Bornia and
Victoria Howle Block triangular preconditioners for
linearization schemes of the
Rayleigh--Bénard convection problem . . . ??
V. R. Kosti\'c and
Lj. Cvetkovi\'c On the inertia of the block $H$-matrices ??
Dong-Hui Li and
Shuilian Xie and
Hong-Ru Xu Splitting methods for tensor equations ??
Qiaohua Liu and
Minghui Wang On the weighting method for mixed least
squares--total least squares problems ??
Shinya Miyajima Fast verified computation for solutions
of algebraic Riccati equations arising
in transport theory . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Lars Ruthotto and
Chen Greif and
Jan Modersitzki A stabilized multigrid solver for
hyperelastic image registration . . . . ??
Jennifer Scott and
Miroslav T\ocircuma Improving the stability and robustness
of incomplete symmetric indefinite
factorization preconditioners . . . . . ??
Zhong-Zhi Bai and
Li-Li Zhang Modulus-based multigrid methods for
linear complementarity problems . . . . ??
Matthias Bolten and
Dieter Moser and
Robert Speck A multigrid perspective on the parallel
full approximation scheme in space and
time . . . . . . . . . . . . . . . . . . ??
Steffen Börm Directional $ {\cal H}^2 $-matrix
compression for high-frequency problems ??
Suzan C. Buranay and
Dervis Subasi and
Ovgu C. Iyikal On the two classes of high-order
convergent methods of approximate
inverse preconditioners for solving
linear systems . . . . . . . . . . . . . ??
Yogi A. Erlangga and
Reinhard Nabben On the convergence of two-level Krylov
methods for singular symmetric systems ??
Hung-Yuan Fan and
Liping Zhang and
Eric King-wah Chu and
Yimin Wei Numerical solution to a linear equation
with tensor product structure . . . . . ??
Wen Li and
Dongdong Liu and
Michael K. Ng and
Seak-Weng Vong The uniqueness of multilinear PageRank
vectors . . . . . . . . . . . . . . . . ??
Yonghui Ling and
Zhengda Huang An analysis on the efficiency of Euler's
method for computing the matrix $p$ th
root . . . . . . . . . . . . . . . . . . ??
Michael K. Ng and
Wei Wang and
Xile Zhao A variational approach for restoring
images corrupted by noisy blur kernels
and additive noise . . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Andrey Prokopenko and
Raymond S. Tuminaro An algebraic multigrid method for $Q_2 -
Q_1$ mixed discretizations of the
Navier--Stokes equations . . . . . . . . ??
James H. Adler and
Ilya Lashuk and
Scott P. MacLachlan Composite-grid multigrid for diffusion
on the sphere . . . . . . . . . . . . . ??
S. Amat and
I. Argyros and
S. Busquier and
M. A. Hernández-Verón On two high-order families of frozen
Newton-type methods . . . . . . . . . . ??
Haibin Chen and
Yannan Chen and
Guoyin Li and
Liqun Qi A semidefinite program approach for
computing the maximum eigenvalue of a
class of structured tensors and its
applications in hypergraphs and
copositivity test . . . . . . . . . . . ??
Martin Galgon and
Lukas Krämer and
Bruno Lang Improving projection-based eigensolvers
via adaptive techniques . . . . . . . . ??
Wei Gong and
Zhiyu Tan and
Shuo Zhang A robust optimal preconditioner for the
mixed finite element discretization of
elliptic optimal control problems . . . ??
Meisam Jozi and
Saeed Karimi A weighted singular value decomposition
for the discrete inverse problems . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Jiang Qian and
Alan L. Andrew and
Delin Chu and
Roger C. E. Tan Methods for solving underdetermined
systems . . . . . . . . . . . . . . . . ??
Tyrone Rees and
Jennifer Scott A comparative study of null-space
factorizations for sparse symmetric
saddle point systems . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Alex Druinsky and
Eyal Carlebach and
Sivan Toledo Wilkinson's inertia-revealing
factorization and its application to
sparse matrices . . . . . . . . . . . . ??
Xin Lu and
Hong-Kui Pang and
Hai-Wei Sun and
Seak-Weng Vong Approximate inversion method for
time-fractional subdiffusion equations ??
Jason S. Howell Prestructuring sparse matrices with
dense rows and columns via null space
methods . . . . . . . . . . . . . . . . ??
Guanglu Zhou and
Gang Wang and
Liqun Qi and
Mohammed Alqahtani A fast algorithm for the spectral radii
of weakly reducible nonnegative tensors ??
Gabriel Hollander and
Philippe Dreesen and
Mariya Ishteva and
Johan Schoukens Approximate decoupling of multivariate
polynomials using weighted tensor
decomposition . . . . . . . . . . . . . ??
Xiaofei Wang and
Carmeliza Navasca Low-rank approximation of tensors via
sparse optimization . . . . . . . . . . ??
Vadim Stotland and
Oded Schwartz and
Sivan Toledo High-performance direct algorithms for
computing the sign function of
triangular matrices . . . . . . . . . . ??
Ronald Webster CLC in AMG solvers for saddle-point
problems . . . . . . . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Joel E. Dendy, Jr. Multigrid Methods 2017 . . . . . . . . . ??
Yunhui He and
Scott P. MacLachlan Local Fourier analysis of
block-structured multigrid relaxation
schemes for the Stokes equations . . . . ??
Wayne Mitchell and
Tom Manteuffel Advances in implementation, theoretical
motivation, and numerical results for
the nested iteration with range
decomposition algorithm . . . . . . . . ??
Sarah Osborn and
Patrick Zulian and
Thomas Benson and
Umberto Villa and
Rolf Krause and
Panayot S. Vassilevski Scalable hierarchical PDE sampler for
generating spatially correlated random
fields using nonmatching meshes . . . . ??
Delyan Z. Kalchev and
Thomas A. Manteuffel and
Steffen Münzenmaier Mixed and least-squares finite element
methods with application to linear
hyperbolic problems . . . . . . . . . . ??
Alyson Fox and
Thomas Manteuffel Algebraic multigrid for directed graph
Laplacian linear systems (NS-LAMG) . . . ??
Jeffery Allen and
Tom Manteuffel and
Harihar Rajaram Exploring basal sliding with a
fluidity-based, ice-sheet model using
FOSLS . . . . . . . . . . . . . . . . . ??
Junyuan Lin and
Lenore J. Cowen and
Benjamin Hescott and
Xiaozhe Hu Computing the diffusion state distance
on graphs via algebraic multigrid and
random projections . . . . . . . . . . . ??
Olaf Steinbach and
Huidong Yang Comparison of algebraic multigrid
methods for an adaptive space--time
finite-element discretization of the
heat equation in $3$D and $4$D . . . . . ??
A. Hessenthaler and
D. Nordsletten and
O. Röhrle and
J. B. Schroder and
R. D. Falgout Convergence of the multigrid reduction
in time algorithm for the linear
elasticity equations . . . . . . . . . . ??
Fande Kong and
Yaqi Wang and
Sebastian Schunert and
John W. Peterson and
Cody J. Permann and
David Andr\vs and
Richard C. Martineau A fully coupled two-level Schwarz
preconditioner based on smoothed
aggregation for the transient multigroup
neutron diffusion equations . . . . . . ??
Christopher Coley and
Joseph Benzaken and
John A. Evans A geometric multigrid method for
isogeometric compatible discretizations
of the generalized Stokes and Oseen
problems . . . . . . . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Zhong-Zhi Bai and
Maya G. Neytcheva and
Lothar Reichel Editorial: Novel methods and theories in
numerical algebra with interdisciplinary
applications . . . . . . . . . . . . . . ??
Zhong-Zhi Bai Quasi-HSS iteration methods for
non-Hermitian positive definite linear
systems of strong skew-Hermitian parts ??
Jianjun Zhang and
James G. Nagy An alternating direction method of
multipliers for the solution of matrix
equations arising in inverse problems ??
Andreas Frommer and
Claudia Schimmel and
Marcel Schweitzer Bounds for the decay of the entries in
inverses and Cauchy--Stieltjes functions
of certain sparse, normal matrices . . . ??
Xiao-Liang Song and
Bo Yu A two-phase strategy for control
constrained elliptic optimal control
problems . . . . . . . . . . . . . . . . ??
Jun-Gang Wang and
Yu-Hong Ran and
Dong-Ling Wang On structure preserving and circulant
preconditioners for the space fractional
coupled nonlinear Schrödinger equations ??
Ai-Li Yang Scaled norm minimization method for
computing the parameters of the HSS and
the two-parameter HSS preconditioners ??
Ju-Li Zhang An efficient variant of HSS
preconditioner for generalized saddle
point problems . . . . . . . . . . . . . ??
Laura Dykes and
Guangxin Huang and
Silvia Noschese and
Lothar Reichel Regularization matrices for discrete
ill-posed problems in several space
dimensions . . . . . . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
S.-E. Ekström and
S. Serra-Capizzano Eigenvalues and eigenvectors of banded
Toeplitz matrices and the related
symbols . . . . . . . . . . . . . . . . ??
D. A. Kolesnikov and
I. V. Oseledets Convergence analysis of projected
fixed-point iteration on a low-rank
matrix manifold . . . . . . . . . . . . ??
L. Bergamaschi and
V. De Simone and
D. di Serafino and
A. Martínez BFGS-like updates of constraint
preconditioners for sequences of KKT
linear systems in quadratic programming ??
Dong-Lin Sun and
Ting-Zhu Huang and
Yan-Fei Jing and
Bruno Carpentieri A block GMRES method with deflated
restarting for solving linear systems
with multiple shifts and multiple
right-hand sides . . . . . . . . . . . . ??
M. Dumbser and
F. Fambri and
I. Furci and
M. Mazza and
S. Serra-Capizzano and
M. Tavelli Staggered discontinuous Galerkin methods
for the incompressible Navier--Stokes
equations: Spectral analysis and
computational results . . . . . . . . . ??
Nicolas Gillis and
Volker Mehrmann and
Punit Sharma Computing the nearest stable matrix
pairs . . . . . . . . . . . . . . . . . ??
Vassilis Kalantzis and
James Kestyn and
Eric Polizzi and
Yousef Saad Domain decomposition approaches for
accelerating contour integration
eigenvalue solvers for symmetric
eigenvalue problems . . . . . . . . . . ??
Zhong-Zhi Bai Respectively scaled HSS iteration
methods for solving discretized spatial
fractional diffusion equations . . . . . ??
Tu\ugrul Dayar and
M. Can Orhan On compact vector formats in the
solution of the chemical master equation
with backward differentiation . . . . . ??
A. Gómez-Corral and
M. López-García Perturbation analysis in finite LD-QBD
processes and applications to epidemic
models . . . . . . . . . . . . . . . . . ??
Jemima M. Tabeart and
Sarah L. Dance and
Stephen A. Haben and
Amos S. Lawless and
Nancy K. Nichols and
Joanne A. Waller The conditioning of least-squares
problems in variational data
assimilation . . . . . . . . . . . . . . ??
S. Harizanov and
R. Lazarov and
S. Margenov and
P. Marinov and
Y. Vutov Optimal solvers for linear systems with
fractional powers of sparse SPD matrices ??
F. S. Schneider and
M. Pisarenco Inverse generating function approach for
the preconditioning of Toeplitz-block
systems . . . . . . . . . . . . . . . . ??
Jie Chen and
Yousef Saad A posteriori error estimate for
computing $ {\rm tr}(f(A)) $ by using
the Lanczos method . . . . . . . . . . . ??
Marco Buck and
Oleg Iliev and
Heiko Andrä Domain decomposition preconditioners for
multiscale problems in linear elasticity ??
Zeng-Qi Wang On a Chebyshev accelerated splitting
iteration method with application to
two-by-two block linear systems . . . . ??
Sangye Lungten and
Wil H. A. Schilders and
Jennifer A. Scott Preordering saddle-point systems for
sparse $ L D L^T $ factorization without
pivoting . . . . . . . . . . . . . . . . ??
Shu-Lin Wu and
Hui Zhang and
Tao Zhou Solving time-periodic fractional
diffusion equations via diagonalization
technique and multigrid . . . . . . . . ??
Jiani Zhang and
Arvind K. Saibaba and
Misha E. Kilmer and
Shuchin Aeron A randomized tensor singular value
decomposition based on the $t$-product ??
Junjun Pan and
Michael K. Ng Symmetric orthogonal approximation to
symmetric tensors with applications to
image reconstruction . . . . . . . . . . ??
Ming Zhou Convergence estimates of nonrestarted
and restarted block-Lanczos methods . . ??
Victor A. P. Magri and
Andrea Franceschini and
Massimiliano Ferronato and
Carlo Janna Multilevel approaches for FSAI
preconditioning . . . . . . . . . . . . ??
E. Mainar and
J. M. Peña Accurate computations with collocation
matrices of a general class of bases . . ??
Xiao Shan Chen and
Chao Tao Wen and
Hai-wei Sun Two-step Newton-type methods for solving
inverse eigenvalue problems . . . . . . ??
Omar DeGuchy and
Jennifer B. Erway and
Roummel F. Marcia Compact representation of the full
Broyden class of quasi-Newton updates ??
M. Hached and
K. Jbilou Computational Krylov-based methods for
large-scale differential Sylvester
matrix problems . . . . . . . . . . . . ??
Brendan Gavin and
Eric Polizzi Krylov eigenvalue strategy using the
FEAST algorithm with inexact system
solves . . . . . . . . . . . . . . . . . ??
Zheng-Da Huang and
Hui-Di Wang On the optimal convergence factor of the
accelerated parameterized inexact Uzawa
method with three parameters for
augmented systems . . . . . . . . . . . ??
Susanne C. Brenner and
Duk-Soon Oh Multigrid methods for $ H ({\rm div}) $
in three dimensions with nonoverlapping
domain decomposition smoothers . . . . . ??
Sven-Erik Ekström and
Isabella Furci and
Carlo Garoni and
Carla Manni and
Stefano Serra-Capizzano and
Hendrik Speleers Are the eigenvalues of the B-spline
isogeometric analysis approximation of $
- \Delta u = \lambda u $ known in almost
closed form? . . . . . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Peter Benner and
Heike Faßbender and
Lars Grasedyck and
Daniel Kressner and
Beatrice Meini and
Valeria Simoncini 7th Workshop on Matrix Equations and
Tensor Techniques . . . . . . . . . . . ??
D. A. Bini and
S. Massei and
B. Meini and
L. Robol On quadratic matrix equations with
infinite size coefficients encountered
in QBD stochastic processes . . . . . . ??
P. Boito and
Y. Eidelman and
L. Gemignani Efficient solution of
parameter-dependent quasiseparable
systems and computation of meromorphic
matrix functions . . . . . . . . . . . . ??
Matthias Bolten and
Dieter Moser and
Robert Speck Asymptotic convergence of the parallel
full approximation scheme in space and
time for linear problems . . . . . . . . ??
M. Boussé and
N. Vervliet and
I. Domanov and
O. Debals and
L. De Lathauwer Linear systems with a canonical polyadic
decomposition constrained solution:
Algorithms and applications . . . . . . ??
Difeng Cai and
Edmond Chow and
Lucas Erlandson and
Yousef Saad and
Yuanzhe Xi SMASH: Structured matrix approximation
by separation and hierarchy . . . . . . ??
Tobias Damm and
Kazuhiro Sato and
Axel Vierling Numerical solution of Lyapunov equations
related to Markov jump linear systems ??
Ion Victor Gosea and
Athanasios C. Antoulas Data-driven model order reduction of
quadratic-bilinear systems . . . . . . . ??
Lars Grasedyck and
Christian Löbbert Distributed hierarchical SVD in the
Hierarchical Tucker format . . . . . . . ??
Gennadij Heidel and
Volker Schulz A Riemannian trust-region method for
low-rank tensor completion . . . . . . . ??
R. Huang and
J. Sun and
C. Yang Recursive integral method with Cayley
transformation . . . . . . . . . . . . . ??
Elias Jarlebring and
Giampaolo Mele and
Davide Palitta and
Emil Ringh Krylov methods for low-rank commuting
generalized Sylvester equations . . . . ??
B. Lee Multigrid for model reduction of power
grid networks . . . . . . . . . . . . . ??
Qiaohua Liu and
Dongmei Shen and
Ziwei Jia Making global simpler GMRES more stable ??
Beatrice Meini and
Federico Poloni Perron-based algorithms for the
multilinear PageRank . . . . . . . . . . ??
M Shadi Mohamed and
Mohammed Seaid and
Abderrahman Bouhamidi Iterative solvers for generalized finite
element solution of boundary-value
problems . . . . . . . . . . . . . . . . ??
S. Chandra Sekhara Rao and
Rabia Kamra A hybrid parallel algorithm for large
sparse linear systems . . . . . . . . . ??
Hans De Sterck and
Alexander J. M. Howse Nonlinearly preconditioned L-BFGS as an
acceleration mechanism for alternating
least squares with application to tensor
decomposition . . . . . . . . . . . . . ??
Zeng-Qi Wang A note on the block alternating
splitting implicit iteration method for
complex saddle-point problems . . . . . ??
Xue Yang and
Yu-Mei Huang and
Li Sun A modulus iteration method for retinex
problem . . . . . . . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . ??
Achiya Dax A restarted Krylov method with inexact
inversions . . . . . . . . . . . . . . . ??
Jorge Delgado and
Héctor Orera and
Juan Manuel Peña Accurate computations with Laguerre
matrices . . . . . . . . . . . . . . . . ??
Froilán M. Dopico and
Javier González-Pizarro A compact rational Krylov method for
large-scale rational eigenvalue problems ??
Aditi Ghai and
Cao Lu and
Xiangmin Jiao A comparison of preconditioned Krylov
subspace methods for large-scale
nonsymmetric linear systems . . . . . . ??
Gennadij Heidel and
Andy Wathen Preconditioning for boundary control
problems in incompressible fluid
dynamics . . . . . . . . . . . . . . . . ??
Miroslav Kuchta and
Kent-Andre Mardal and
Mikael Mortensen On the singular Neumann problem in
linear elasticity . . . . . . . . . . . ??
G. Pitton and
L. Heltai Accelerating the iterative solution of
convection-diffusion problems using
singular value decomposition . . . . . . ??
Asbjòrn Nilsen Riseth Objective acceleration for unconstrained
optimization . . . . . . . . . . . . . . ??
Eran Treister and
Eldad Haber A multigrid solver to the Helmholtz
equation with a point source based on
travel time and amplitude . . . . . . . ??
Pengpeng Xie and
Hua Xiang and
Yimin Wei Randomized algorithms for total least
squares problems . . . . . . . . . . . . ??
Anonymous Issue Information . . . . . . . . . . . e2193:1--e2193:??
Stefano Cipolla and
Carmine Di Fiore and
Fabio Durastante and
Paolo Zellini Regularizing properties of a class of
matrices including the optimal and the
superoptimal preconditioners . . . . . . e2225:1--e2225:??
Lars Eldén and
Salman Ahmadi-Asl Solving bilinear tensor least squares
problems and application to Hammerstein
identification . . . . . . . . . . . . . e2226:1--e2226:??
Seyyed Abbas Mohammadi and
Heinrich Voss On the distribution of real eigenvalues
in linear viscoelastic oscillators . . . e2228:1--e2228:??
Miloud Sadkane and
Ahmed Touhami ChebStaBlkCG: A block variant of
ChebFilterCG . . . . . . . . . . . . . . e2227:1--e2227:??
Martin Schreiber and
Richard Loft A parallel time integrator for solving
the linearized shallow water equations
on the rotating sphere . . . . . . . . . e2220:1--e2220:??
Petar Sirkovi\'c A reduced basis approach to large-scale
pseudospectra computation . . . . . . . e2222:1--e2222:??
You-Wei Wen and
Hai-Wei Sun and
Michael K. Ng A primal-dual method for the Meyer model
of cartoon and texture decomposition . . e2224:1--e2224:??
Teng-Teng Yao and
Zheng-Jian Bai and
Zhi Zhao A Riemannian variant of the
Fletcher--Reeves conjugate gradient
method for stochastic inverse eigenvalue
problems with partial eigendata . . . . e2221:1--e2221:??
Anonymous Issue Information . . . . . . . . . . . e2194:1--e2194:??
Haim Avron and
Alex Druinsky and
Sivan Toledo Spectral condition-number estimation of
large sparse matrices . . . . . . . . . e2235:1--e2235:??
Owe Axelsson and
Ivar Gustafsson A coarse-fine-mesh stabilization for an
alternating Schwarz domain decomposition
method . . . . . . . . . . . . . . . . . e2236:1--e2236:??
Kui Du Tight upper bounds for the convergence
of the randomized extended Kaczmarz and
Gauss--Seidel algorithms . . . . . . . . e2233:1--e2233:??
Luka Grubisi\'c and
Josip Tambaca Direct solution method for the
equilibrium problem for elastic stents e2231:1--e2231:??
Per Christian Hansen and
Yiqiu Dong and
Kuniyoshi Abe Hybrid enriched bidiagonalization for
discrete ill-posed problems . . . . . . e2230:1--e2230:??
Silvia Noschese and
Lothar Reichel Eigenvector sensitivity under general
and structured perturbations of
tridiagonal Toeplitz-type matrices . . . e2232:1--e2232:??
Iwona Skalna and
Milan Hladík Direct and iterative methods for
interval parametric algebraic systems
producing parametric solutions . . . . . e2229:1--e2229:??
Shashanka Ubaru and
Yousef Saad Sampling and multilevel coarsening
algorithms for fast matrix
approximations . . . . . . . . . . . . . e2234:1--e2234:??
Fatemeh Abdi and
Fatemeh Shakeri Power iteration and inverse power
iteration for eigenvalue complementarity
problem . . . . . . . . . . . . . . . . e2244:1--e2244:??
Anonymous Issue Information . . . . . . . . . . . e2195:1--e2195:??
Zhong-Zhi Bai and
Wen-Ting Wu On greedy randomized coordinate descent
methods for solving large linear
least-squares problems . . . . . . . . . e2237:1--e2237:??
Yunfeng Cai and
Guanghui Cheng and
Decai Shi Solving the general joint block
diagonalization problem via linearly
independent eigenvectors of a matrix
polynomial . . . . . . . . . . . . . . . e2238:1--e2238:??
Hongjia Chen and
Jie Meng and
Tetsuya Sakurai and
Xiang Wang Backward error analysis for
linearizations in heavily damped
quadratic eigenvalue problem . . . . . . e2253:1--e2253:??
Yuliya Gorb and
Vasiliy Kramarenko and
Yuri Kuznetsov Preconditioned iterative methods for
diffusion problems with high-contrast
inclusions . . . . . . . . . . . . . . . e2243:1--e2243:??
Michiel E. Hochstenbach and
Karl Meerbergen and
Emre Mengi and
Bor Plestenjak Subspace methods for three-parameter
eigenvalue problems . . . . . . . . . . e2240:1--e2240:??
Qingguo Hong and
Johannes Kraus and
Maria Lymbery and
Fadi Philo Conservative discretizations and
parameter-robust preconditioners for
Biot and multiple-network flux-based
poroelasticity models . . . . . . . . . e2242:1--e2242:??
Baohua Huang and
Yajun Xie and
Changfeng Ma Krylov subspace methods to solve a class
of tensor equations via the Einstein
product . . . . . . . . . . . . . . . . e2254:1--e2254:??
Zhigang Jia and
Michael K. Ng and
Guang-Jing Song Robust quaternion matrix completion with
applications to image inpainting . . . . e2245:1--e2245:??
Massimiliano Lupo Pasini Convergence analysis of Anderson-type
acceleration of Richardson's iteration e2241:1--e2241:??
Serge L. Shishkin and
Arkadi Shalaginov and
Shaunak D. Bopardikar Fast approximate truncated SVD . . . . . e2246:1--e2246:??
Bing Zheng and
Zhanshan Yang Perturbation analysis for mixed least
squares-total least squares problems . . e2239:1--e2239:??
Anonymous Issue Information . . . . . . . . . . . e2196:1--e2196:??
Natália Bebiano and
Susana Furtado Nearness results for real tridiagonal
$2$-Toeplitz matrices . . . . . . . . . e2257:1--e2257:??
Torsten Bosse (Almost) matrix-free solver for
piecewise linear functions in abs-normal
form . . . . . . . . . . . . . . . . . . e2258:1--e2258:??
Haniye Dehestani and
Yadollah Ordokhani and
Mohsen Razzaghi On the applicability of Genocchi wavelet
method for different kinds of
fractional-order differential equations
with delay . . . . . . . . . . . . . . . e2259:1--e2259:??
Yan Dou and
Ming Gu and
Shivkumar Chandrasekaran An efficient algorithm for bounded
spectral matching with affine constraint e2264:1--e2264:??
Boris N. Khoromskij and
N. Kishore Kumar and
Jan Schneider Quantized CP approximation and sparse
tensor interpolation of
function-generated data . . . . . . . . e2262:1--e2262:??
B. Lee Multigrid for second-order ADN elliptic
systems . . . . . . . . . . . . . . . . e2256:1--e2256:??
Dongdong Liu and
Wen Li and
Seak-Weng Vong Relaxation methods for solving the
tensor equation arising from the
higher-order Markov chains . . . . . . . e2260:1--e2260:??
Koen Ruymbeek and
Karl Meerbergen and
Wim Michiels Calculating the minimal/maximal
eigenvalue of symmetric parameterized
matrices using projection . . . . . . . e2263:1--e2263:??
Marek J. \'Smieta\'nski On a new exponential iterative method
for solving nonsmooth equations . . . . e2255:1--e2255:??
Fernando De Terán and
Bruno Iannazzo and
Federico Poloni and
Leonardo Robol Nonsingular systems of generalized
Sylvester equations: An algorithmic
approach . . . . . . . . . . . . . . . . e2261:1--e2261:??
Anonymous Issue Information . . . . . . . . . . . e2197:1--e2197:??
Na Huang and
Yu-Hong Dai and
QiYa Hu Uzawa methods for a class of block
three-by-three saddle-point problems . . e2265:1--e2265:??
Gianna M. Del Corso and
Federico Poloni and
Leonardo Robol and
Raf Vandebril When is a matrix unitary or Hermitian
plus low rank? . . . . . . . . . . . . . e2266:1--e2266:??
Burak Aksoylu and
Adem Kaya On smoothers for multigrid of the second
kind . . . . . . . . . . . . . . . . . . e2267:1--e2267:??
Elisa de Cássia Silva Rodrigues and
Jorge Stolfi ECLES: A general method for local
editing of parameters with linear
constraints . . . . . . . . . . . . . . e2268:1--e2268:??
Pasqua D'Ambra and
Panayot S. Vassilevski Improving solve time of
aggregation-based adaptive AMG . . . . . e2269:1--e2269:??
Anonymous Issue Information . . . . . . . . . . . e2247:1--e2247:??
Carlos M. da Fonseca Eigenpairs of some particular band
Toeplitz matrices: A comment . . . . . . e2270:1--e2270:??
Sven-Erik Ekström and
Stefano Serra-Capizzano Eigenpairs of some particular band
Toeplitz matrices: A comment . . . . . . e2273:1--e2273:??
Hans De Sterck and
Stephanie Friedhoff and
Alexander J. M. Howse and
Scott P. MacLachlan Convergence analysis for
parallel-in-time solution of hyperbolic
systems . . . . . . . . . . . . . . . . e2271:1--e2271:??
V. Angelova and
M. Hached and
K. Jbilou Approximate solutions to large
nonsymmetric differential Riccati
problems with applications to transport
theory . . . . . . . . . . . . . . . . . e2272:1--e2272:??
Zhong-Zhi Bai and
Kang-Ya Lu On regularized Hermitian splitting
iteration methods for solving
discretized almost-isotropic spatial
fractional diffusion equations . . . . . e2274:1--e2274:??
Anonymous Issue Information . . . . . . . . . . . e2248:1--e2248:??
Gregory J. Clark and
Joshua N. Cooper Stably computing the multiplicity of
known roots given leading coefficients e2275:1--e2275:??
John W. Pearson and
Margherita Porcelli and
Martin Stoll Interior-point methods and
preconditioning for PDE-constrained
optimization problems involving sparsity
terms . . . . . . . . . . . . . . . . . e2276:1--e2276:??
Zixuan Chen and
James G. Nagy and
Yuanzhe Xi and
Bo Yu Structured FISTA for image restoration e2278:1--e2278:??
Mireille El Haddad and
José C. Garay and
Frédéric Magoul\`es and
Daniel B. Szyld Synchronous and asynchronous optimized
Schwarz methods for one-way subdivision
of bounded domains . . . . . . . . . . . e2279:1--e2279:??
Stefano Cipolla and
Michela Redivo-Zaglia and
Francesco Tudisco Extrapolation methods for fixed-point
multilinear PageRank computations . . . e2280:1--e2280:??
Anonymous Issue Information . . . . . . . . . . . e2249:1--e2249:??
Kota Sugihara and
Ken Hayami and
Ning Zheng Right preconditioned MINRES for singular
systems . . . . . . . . . . . . . . . . e2277:1--e2277:??
Jari Toivanen and
Monika Wolfmayr* A Fast Fourier transform based direct
solver for the Helmholtz problem . . . . e2283:1--e2283:??
P. N. Vabishchevich Approximation of a fractional power of
an elliptic operator . . . . . . . . . . e2287:1--e2287:??
Ruijuan Zhao and
Bing Zheng and
Maolin Liang and
Yangyang Xu A locally and cubically convergent
algorithm for computing $Z$-eigenpairs
of symmetric tensors . . . . . . . . . . e2284:1--e2284:??
Yunhui He and
Scott MacLachlan Two-level Fourier analysis of multigrid
for higher-order finite-element
discretizations of the Laplacian . . . . e2285:1--e2285:??
Kathryn Lund The tensor $t$-function: A definition
for functions of third-order tensors . . e2288:1--e2288:??
Oscar Mickelin and
Sertac Karaman On algorithms for and computing with the
tensor ring decomposition . . . . . . . e2289:1--e2289:??
Neelam Choudhary and
Nicolas Gillis and
Punit Sharma On approximating the nearest $ \Omega
$-stable matrix . . . . . . . . . . . . e2282:1--e2282:??
Giovanni Barbarino and
Stefano Serra-Capizzano Non-Hermitian perturbations of Hermitian
matrix-sequences and applications to the
spectral analysis of the numerical
approximation of partial differential
equations . . . . . . . . . . . . . . . e2286:1--e2286:??
Chao Zeng and
Michael K. Ng Decompositions of third-order tensors:
HOSVD, T-SVD, and Beyond . . . . . . . . e2290:1--e2290:??
Hanzhang Hu and
Yanping Chen A two-grid method for characteristic
expanded mixed finite element solution
of miscible displacement problem . . . . e2292:1--e2292:??
Esmeralda Mainar and
Juan Manuel Peña and
Beatriz Rubio Accurate bidiagonal decomposition of
collocation matrices of weighted $
\varphi $-transformed systems . . . . . e2295:1--e2295:??
Zixing Xin and
Jianlin Xia and
Stephen Cauley and
Venkataramanan Balakrishnan Effectiveness and robustness revisited
for a preconditioning technique based on
structured incomplete factorization . . e2294:1--e2294:??
Jifei Miao and
Guanghui Cheng and
Wenrui Li and
Eric Moreau A unitary joint diagonalization
algorithm for nonsymmetric higher-order
tensors based on Givens-like rotations e2291:1--e2291:??
Venera Khoromskaia and
Boris N. Khoromskij and
Felix Otto Numerical study in stochastic
homogenization for elliptic partial
differential equations: Convergence rate
in the size of representative volume
elements . . . . . . . . . . . . . . . . e2296:1--e2296:??
Kensuke Aihara GPBi-CGstab($L$): A Lanczos-type product
method unifying Bi-CGstab($L$) and
GPBi-CG . . . . . . . . . . . . . . . . e2298:1--e2298:??
Guangjing Song and
Michael K. Ng and
Xiongjun Zhang Robust tensor completion using
transformed tensor singular value
decomposition . . . . . . . . . . . . . e2299:1--e2299:??
Anonymous Issue Information . . . . . . . . . . . e2250:1--e2250:??
Carmen Campos and
Jose E. Roman Inertia-based spectrum slicing for
symmetric quadratic eigenvalue problems e2293:1--e2293:??
Zoran Tomljanovi\'c and
Matthias Voigt Semi-active $ H_\infty $ damping
optimization by adaptive interpolation e2300:1--e2300:??
Drew Mitchell and
Nan Ye and
Hans De Sterck Nesterov acceleration of alternating
least squares for canonical tensor
decomposition: Momentum step size
selection and restart mechanisms . . . . e2297:1--e2297:??
Ryma Imene Rahla and
Stefano Serra-Capizzano and
Cristina Tablino-Possio Spectral analysis of $ \mathbb {P}_k $
Finite Element matrices in the case of
Friedrichs--Keller triangulations via
Generalized Locally Toeplitz technology e2302:1--e2302:??
Qinmeng Zou and
Frédéric Magoul\`es Parameter estimation in the Hermitian
and skew-Hermitian splitting method
using gradient iterations . . . . . . . e2304:1--e2304:??
Qiang Ye Preconditioning for accurate solutions
of ill-conditioned linear systems . . . e2315:1--e2315:??
Qingqing Zheng and
Yuanzhe Xi and
Yousef Saad Multicolor low-rank preconditioner for
general sparse linear systems . . . . . e2316:1--e2316:??
Anonymous Issue Information . . . . . . . . . . . e2251:1--e2251:??
Ieva Dauzickaite and
Amos S. Lawless and
Jennifer A. Scott and
Peter Jan van Leeuwen Spectral estimates for saddle point
matrices arising in weak constraint
four-dimensional variational data
assimilation . . . . . . . . . . . . . . e2313:1--e2313:??
Juan C. Cabral and
Christian E. Schaerer and
Amit Bhaya Improving GMRES($m$) using an adaptive
switching controller . . . . . . . . . . e2305:1--e2305:??
Zhongyun Liu and
Yang Zhou and
Yulin Zhang On inexact alternating direction
implicit iteration for continuous
Sylvester equations . . . . . . . . . . e2320:1--e2320:??
Xinru Yuan and
Wen Huang and
P.-A. Absil and
Kyle A. Gallivan Computing the matrix geometric mean:
Riemannian versus Euclidean
conditioning, implementation techniques,
and a Riemannian BFGS method . . . . . . e2321:1--e2321:??
Arvind K. Saibaba and
Julianne Chung and
Katrina Petroske Efficient Krylov subspace methods for
uncertainty quantification in large
Bayesian linear inverse problems . . . . e2325:1--e2325:??
Ratikanta Behera and
Ashish Kumar Nandi and
Jajati Keshari Sahoo Further results on the Drazin inverse of
even-order tensors . . . . . . . . . . . e2317:1--e2317:??
Francesco Mezzadri Modulus-based synchronous multisplitting
methods for solving horizontal linear
complementarity problems on parallel
computers . . . . . . . . . . . . . . . e2319:1--e2319:??
Anonymous Issue Information . . . . . . . . . . . e2252:1--e2252:??
Carlo Garoni and
Carla Manni and
Stefano Serra-Capizzano and
Hendrik Speleers NURBS in isogeometric discretization
methods: A spectral analysis . . . . . . e2318:1--e2318:??
Luca Bergamaschi and
José Marín and
Ángeles Martínez Compact quasi-Newton preconditioners for
symmetric positive definite linear
systems . . . . . . . . . . . . . . . . e2322:1--e2322:??
Yu-Hong Yeung and
Alex Pothen and
Jessica Crouch AMPS: Real-time mesh cutting with
augmented matrices for surgical
simulations . . . . . . . . . . . . . . e2323:1--e2323:??
Yunjie Wang and
Gang Wu New strategies for determining backward
perturbation bound of approximate
two-sided Krylov subspaces . . . . . . . e2324:1--e2324:??
Zeynab Dalvand and
Masoud Hajarian and
Jose E. Roman An extension of the Cayley transform
method for a parameterized generalized
inverse eigenvalue problem . . . . . . . e2327:1--e2327:??
Xuezhong Wang and
Maolin Che and
Yimin Wei Preconditioned tensor splitting AOR
iterative methods for H -tensor
equations . . . . . . . . . . . . . . . e2329:1--e2329:??
Hanieh Tavakolipour and
Fatemeh Shakeri Asymptotics of the eigenvalues for
exponentially parameterized
pentadiagonal matrices . . . . . . . . . e2330:1--e2330:??
Anonymous Issue Information . . . . . . . . . . . e2307:1--e2307:??
Daan Camps and
Roel Van Beeumen and
Chao Yang Quantum Fourier transform revisited . . e2331:1--e2331:??
Paola Ferrari and
Nikos Barakitis and
Stefano Serra-Capizzano Asymptotic spectra of large matrices
coming from the symmetrization of
Toeplitz structure functions and
applications to preconditioning . . . . e2332:1--e2332:??
Andrew T. Barker and
Andrei Draganescu Algebraic multigrid preconditioning of
the Hessian in optimization constrained
by a partial differential equation . . . e2333:1--e2333:??
Nianci Wu and
Hua Xiang Semiconvergence analysis of the
randomized row iterative method and its
extended variants . . . . . . . . . . . e2334:1--e2334:??
Renato Spigler On the numerical solution of
ill-conditioned linear systems by
regularization and iteration . . . . . . e2335:1--e2335:??
Ru-Ru Ma and
Zheng-Jian Bai A Riemannian inexact Newton--CG method
for stochastic inverse singular value
problems . . . . . . . . . . . . . . . . e2336:1--e2336:??
Serge Gratton and
Ehouarn Simon and
David Titley-Peloquin and
Philippe L. Toint Minimizing convex quadratics with
variable precision conjugate gradients e2337:1--e2337:??
Ke Li and
Gang Wu A randomized generalized low rank
approximations of matrices algorithm for
high dimensionality reduction and image
compression . . . . . . . . . . . . . . e2338:1--e2338:??
Daniel Kressner and
Kathryn Lund and
Stefano Massei and
Davide Palitta Compress-and-restart block Krylov
subspace methods for Sylvester matrix
equations . . . . . . . . . . . . . . . e2339:1--e2339:??
Doulaye Dembélé A method for computing the Perron root
for primitive matrices . . . . . . . . . e2340:1--e2340:??
Anonymous Issue Information . . . . . . . . . . . e2308:1--e2308:??
Taylor M. Hernandez and
Roel Van Beeumen and
Mark A. Caprio and
Chao Yang A greedy algorithm for computing
eigenvalues of a symmetric matrix with
localized eigenvectors . . . . . . . . . e2341:1--e2341:??
Katarzyna \'Swirydowicz and
Julien Langou and
Shreyas Ananthan and
Ulrike Yang and
Stephen Thomas Low synchronization Gram--Schmidt and
generalized minimal residual algorithms e2343:1--e2343:??
Zdenek Dostál and
David Horák and
Tomás Brzobohatý and
Petr Vodstrcil Book Review: \booktitleBounds on the
spectra of Schur complements of large
H-TFETI-DP clusters for $2$D Laplacian e2344:1--e2344:??
Mohammadhossein Derakhshan and
Azim Aminataei An iterative method for solving
fractional diffusion-wave equation
involving the Caputo--Weyl fractional
derivative . . . . . . . . . . . . . . . e2345:1--e2345:??
Haniye Dehestani and
Yadollah Ordokhani and
Mohsen Razzaghi A novel direct method based on the Lucas
multiwavelet functions for
variable-order fractional
reaction-diffusion and subdiffusion
equations . . . . . . . . . . . . . . . e2346:1--e2346:??
Barry Lee and
Enrique Pereira Batista Algebraic multigrid for the nonlinear
powerflow equations . . . . . . . . . . e2347:1--e2347:??
Andrew T. Barker and
Tzanio Kolev Matrix-free preconditioning for
high-order $H$ (curl) discretizations e2348:1--e2348:??
Yue Qiu and
Martin B. van Gijzen and
Jan-Willem van Wingerden and
Michel Verhaegen and
Cornelis Vuik Preconditioning Navier--Stokes control
using multilevel sequentially
semiseparable matrix computations . . . e2349:1--e2349:??
Baohua Huang and
Wen Li Numerical subspace algorithms for
solving the tensor equations involving
Einstein product . . . . . . . . . . . . e2351:1--e2351:??
Alessandro Buccini and
Marco Donatelli and
Lothar Reichel and
Wei-Hong Zhang A new nonstationary preconditioned
iterative method for linear discrete
ill-posed problems with application to
image deblurring . . . . . . . . . . . . e2353:1--e2353:??
Anonymous Issue Information . . . . . . . . . . . e2309:1--e2309:??
James Brannick Multigrid methods . . . . . . . . . . . e2359:1--e2359:??
Charles D. Murray and
Tobias Weinzierl Stabilized asynchronous fast adaptive
composite multigrid using additive
damping . . . . . . . . . . . . . . . . e2328:1--e2328:??
Patrick E. Farrell and
Yunhui He and
Scott P. MacLachlan A local Fourier analysis of additive
Vanka relaxation for the Stokes
equations . . . . . . . . . . . . . . . e2306:1--e2306:??
Benjamin Quiring and
Panayot S. Vassilevski Multilevel graph embedding . . . . . . . e2326:1--e2326:??
Pieterjan Robbe and
Dirk Nuyens and
Stefan Vandewalle Enhanced multi-index Monte Carlo by
means of multiple semicoarsened
multigrid for anisotropic diffusion
problems . . . . . . . . . . . . . . . . e2281:1--e2281:??
Barry Lee Algebraic multigrid for systems of
elliptic boundary-value problems . . . . e2303:1--e2303:??
Martin J. Gander and
Thibaut Lunet ParaStieltjes: Parallel computation of
Gauss quadrature rules using a
Parareal-like approach for the Stieltjes
procedure . . . . . . . . . . . . . . . e2314:1--e2314:??
Hillary R. Fairbanks and
Sarah Osborn and
Panayot S. Vassilevski Estimating posterior quantity of
interest expectations in a multilevel
scalable framework . . . . . . . . . . . e2352:1--e2352:??
Wayne B. Mitchell and
Robert Strzodka and
Robert D. Falgout Parallel performance of algebraic
multigrid domain decomposition . . . . . e2342:1--e2342:??
Stephanie Friedhoff and
Ben S. Southworth On ``Optimal'' $h$-independent
convergence of Parareal and
multigrid-reduction-in-time using
Runge--Kutta time integration . . . . . e2301:1--e2301:??
Anonymous Issue Information . . . . . . . . . . . e2310:1--e2310:??
Barry Lee Spectral analysis for uncertainty
quantification . . . . . . . . . . . . . e2354:1--e2354:??
Huiqing Xie A perturbation-based method for a
parameter-dependent nonlinear eigenvalue
problem . . . . . . . . . . . . . . . . e2355:1--e2355:??
Marco Donatelli and
Paola Ferrari and
Isabella Furci and
Stefano Serra-Capizzano and
Debora Sesana Multigrid methods for block-Toeplitz
linear systems: convergence analysis and
applications . . . . . . . . . . . . . . e2356:1--e2356:??
Chengjian Zhang and
Yongtao Zhou A preconditioned implicit difference
scheme for semilinear two-dimensional
time-space fractional Fokker--Planck
equations . . . . . . . . . . . . . . . e2357:1--e2357:??
Jinkui Liu and
Haisong Cao and
Yongxiang Zhao and
Liqiao Zhang A gradient-type iterative method for
impulse noise removal . . . . . . . . . e2358:1--e2358:??
Harry Oviedo and
Oscar Dalmau and
Rafael Herrera A hybrid gradient method for strictly
convex quadratic programming . . . . . . e2360:1--e2360:??
Luca Bergamaschi and
Jacek Gondzio and
Ángeles Martínez and
John W. Pearson and
Spyridon Pougkakiotis A new preconditioning approach for an
interior point-proximal method of
multipliers for linear and convex
quadratic programming . . . . . . . . . e2361:1--e2361:??
Yang Cao and
Maya Neytcheva Cell-by-cell approximate Schur
complement technique in preconditioning
of meshfree discretized piezoelectric
equations . . . . . . . . . . . . . . . e2362:1--e2362:??
Jiao-fen Li and
Kai Wang and
Yue-yuan Liu and
Xue-feng Duan and
Xue-lin Zhou A trust-region method for the
parameterized generalized eigenvalue
problem with nonsquare matrix pencils e2363:1--e2363:??
Arvind K. Saibaba and
Joseph Hart and
Bart van Bloemen Waanders Randomized algorithms for generalized
singular value decomposition with
application to sensitivity analysis . . e2364:1--e2364:??
Ana Susnjara and
Daniel Kressner A fast spectral divide-and-conquer
method for banded matrices . . . . . . . e2365:1--e2365:??
Jakob Schneck and
Martin Weiser and
Florian Wende Impact of mixed precision and storage
layout on additive Schwarz smoothers . . e2366:1--e2366:??
Hans De Sterck and
Robert D. Falgout and
Stephanie Friedhoff and
Oliver A. Krzysik and
Scott P. MacLachlan Optimizing multigrid reduction-in-time
and Parareal coarse-grid operators for
linear advection . . . . . . . . . . . . e2367:1--e2367:??
Joris Tavernier and
Jaak Simm and
Karl Meerbergen and
Yves Moreau Two-level preconditioning for Ridge
Regression . . . . . . . . . . . . . . . e2371:1--e2371:??
Ken Hayami and
Kota Sugihara Corrigendum 2 to: A geometric view of
Krylov subspace methods on singular
systems . . . . . . . . . . . . . . . . e2368:1--e2368:??
Anonymous Issue Information . . . . . . . . . . . e2311:1--e2311:??
Qing-Le Meng and
Huai-An Diao and
Zheng-Jian Bai Condition numbers for the truncated
total least squares problem and their
estimations . . . . . . . . . . . . . . e2369:1--e2369:??
Jingwei Li and
Xiao-Chuan Cai Summation pollution of principal
component analysis and an improved
algorithm for location sensitive data e2370:1--e2370:??
Pingfei Dai and
Jinhong Jia and
Hong Wang and
Qingbiao Wu and
Xiangcheng Zheng An efficient positive-definite
block-preconditioned finite volume
solver for two-sided fractional
diffusion equations on composite mesh e2372:1--e2372:??
Andersen Man Shun Ang and
Jeremy E. Cohen and
Nicolas Gillis and
Le Thi Khanh Hien Accelerating block coordinate descent
for nonnegative tensor factorization . . e2373:1--e2373:??
Najib Ullah and
Jamilu Sabi'u and
Abdullah Shah A derivative-free scaling memoryless
Broyden--Fletcher--Goldfarb--Shanno
method for solving a system of monotone
nonlinear equations . . . . . . . . . . e2374:1--e2374:??
Thomas C. Clevenger and
Timo Heister Comparison between algebraic and
matrix-free geometric multigrid for a
Stokes problem on adaptive meshes with
variable viscosity . . . . . . . . . . . e2375:1--e2375:??
Abdulaziz Alqahtani and
Silvia Gazzola and
Lothar Reichel and
Giuseppe Rodriguez On the block Lanczos and block
Golub--Kahan reduction methods applied
to discrete ill-posed problems . . . . . e2376:1--e2376:??
Nguyen T. Thao and
Dominik Rzepka Coarse-arithmetic coordinate descent for
the resolution of semidefinite linear
systems . . . . . . . . . . . . . . . . e2377:1--e2377:??
Katerina G. Hadjifotinou and
Nicholas P. Karampetakis An algorithm for two-variable rational
interpolation suitable for matrix
manipulations with the
evaluation-interpolation method . . . . e2378:1--e2378:??
Christos K. Filelis-Papadopoulos Incomplete inverse matrices . . . . . . e2380:1--e2380:??
Eric K.-W. Chu and
Daniel B. Szyld and
Jieyong Zhou Numerical solution of singular Lyapunov
equations . . . . . . . . . . . . . . . e2381:1--e2381:??
Ivana Pultarová and
Martin Ladecký Two-sided guaranteed bounds to
individual eigenvalues of preconditioned
finite element and finite difference
problems . . . . . . . . . . . . . . . . e2382:1--e2382:??
Jorge Delgado and
Héctor Orera and
Juan M. Peña High relative accuracy with matrices of
$q$-integers . . . . . . . . . . . . . . e2383:1--e2383:??
Yue Hao and
Valeria Simoncini The Sherman--Morrison--Woodbury formula
for generalized linear matrix equations
and applications . . . . . . . . . . . . e2384:1--e2384:??
Jun Huang and
Gang Wu Convergence of the fixed-point iteration
for multilinear PageRank . . . . . . . . e2379:1--e2379:??
Anonymous Issue Information . . . . . . . . . . . e2312:1--e2312:??
Xue-Feng Duan and
Shan-Qi Duan and
Juan Li and
Jiao-fen Li and
Qing-Wen Wang An efficient algorithm for solving the
nonnegative tensor least squares problem e2385:1--e2385:??
Federico Danieli and
Andrew J. Wathen All-at-once solution of linear wave
equations . . . . . . . . . . . . . . . e2386:1--e2386:??
Ping-Ping Wang and
Liang Li and
Guang-Hui Cheng Low-rank tensor completion with sparse
regularization in a transformed domain e2387:1--e2387:??
Yunhui He Independence of placement for local
Fourier analysis . . . . . . . . . . . . e2388:1--e2388:??
Lisa Claus and
Matthias Bolten Nonoverlapping block smoothers for the
Stokes equations . . . . . . . . . . . . e2389:1--e2389:??
Shishun Li and
Xinping Shao and
Rongliang Chen Multilevel space-time multiplicative
Schwarz preconditioner for parabolic
equations . . . . . . . . . . . . . . . e2390:1--e2390:??
Radu Ioan Bot and
Dang-Khoa Nguyen Factorization of completely positive
matrices using iterative projected
gradient steps . . . . . . . . . . . . . e2391:1--e2391:??
Fu-Shin Hsu and
Yueh-Cheng Kuo and
Ching-Sung Liu Continuation methods for nonnegative
rank-1 approximation of nonnegative
tensors . . . . . . . . . . . . . . . . e2398:1--e2398:??
Xavier Antoine and
Emmanuel Lorin ODE-based double-preconditioning for
solving linear systems $ A \alpha x = b
$ and $ f(A) x = b $ . . . . . . . . . . e2399:1--e2399:??
Qiao Chen and
Aditi Ghai and
Xiangmin Jiao HILUCSI: Simple, robust, and fast
multilevel ILU for large-scale
saddle-point problems from PDEs . . . . e2400:1--e2400:??
Peter Kandolf and
Antti Koskela and
Samuel D. Relton and
Marcel Schweitzer Computing low-rank approximations of the
Fréchet derivative of a matrix function
using Krylov subspace methods . . . . . e2401:1--e2401:??
Mohit Kumar Baghel and
Nicolas Gillis and
Punit Sharma Characterization of the dissipative
mappings and their application to
perturbations of dissipative-Hamiltonian
systems . . . . . . . . . . . . . . . . e2402:1--e2402:??
Anonymous Issue Information . . . . . . . . . . . e2392:1--e2392:??
Xiongjun Zhang and
Michael K. Ng Robust tensor train component analysis e2403:1--e2403:??
Britta Schmitt and
Boris N. Khoromskij and
Venera Khoromskaia and
Volker Schulz Tensor method for optimal control
problems constrained by fractional
three-dimensional elliptic operator with
variable coefficients . . . . . . . . . e2404:1--e2404:??
Jemima M. Tabeart and
Sarah L. Dance and
Amos S. Lawless and
Nancy K. Nichols and
Joanne A. Waller New bounds on the condition number of
the Hessian of the preconditioned
variational data assimilation problem e2405:1--e2405:??
Haixia Liu Symmetric tensor decomposition by
alternating gradient descent . . . . . . e2406:1--e2406:??
Alfredo Buttari and
Markus Huber and
Philippe Leleux and
Theo Mary and
Ulrich Rüde and
Barbara Wohlmuth Block low-rank single precision coarse
grid solvers for extreme scale multigrid
methods . . . . . . . . . . . . . . . . e2407:1--e2407:??
Lukas Kogler and
Joachim Schöberl An algebraic multigrid method for
elasticity based on an auxiliary
topology with edge matrices . . . . . . e2408:1--e2408:??
Wen Huang and
Ke Wei An extension of fast iterative
shrinkage-thresholding algorithm to
Riemannian optimization for sparse
principal component analysis . . . . . . e2409:1--e2409:??
Duncan Gathungu and
Mario Bebendorf and
Alfio Borz\`\i Hierarchical-matrix method for a class
of diffusion-dominated partial
integro-differential equations . . . . . e2410:1--e2410:??
Hector Pascual and
Xin C. Yee Least squares regression principal
component analysis: a supervised
dimensionality reduction method . . . . e2411:1--e2411:??
Lothar Reichel and
Ugochukwu O. Ugwu The tensor Golub--Kahan--Tikhonov method
applied to the solution of ill-posed
problems with a $t$-product structure e2412:1--e2412:??
Anonymous Issue Information . . . . . . . . . . . e2393:1--e2393:??
Hongjia Chen and
Ke Zhang and
Tetsuya Sakurai The tropical scaling for the polynomial
eigenvalue problem solved by a contour
integral method . . . . . . . . . . . . e2413:1--e2413:??
Tao Li and
Qing-Wen Wang and
Xin-Fang Zhang Gradient based iterative methods for
solving symmetric tensor equations . . . e2414:1--e2414:??
Maxim A. Olshanskii and
Alexander Zhiliakov Recycling augmented Lagrangian
preconditioner in an incompressible
fluid solver . . . . . . . . . . . . . . e2415:1--e2415:??
Ratikanta Behera and
Jajati Keshari Sahoo and
Ram N. Mohapatra and
M. Zuhair Nashed Computation of generalized inverses of
tensors via $t$-product . . . . . . . . e2416:1--e2416:??
Tao Hong and
Irad Yavneh On adapting Nesterov's scheme to
accelerate iterative methods for linear
problems . . . . . . . . . . . . . . . . e2417:1--e2417:??
Silvia Noschese and
Lothar Reichel Estimating and increasing the structural
robustness of a network . . . . . . . . e2418:1--e2418:??
Santolo Leveque and
John W. Pearson Fast iterative solver for the optimal
control of time-dependent PDEs with
Crank--Nicolson discretization in time e2419:1--e2419:??
Anonymous Issue Information . . . . . . . . . . . e2394:1--e2394:??
Lu-Bin Cui and
Qing Hu and
Ying Chen and
Yi-Sheng Song A Rayleigh quotient-gradient neural
network method for computing
$Z$-eigenpairs of general tensors . . . e2420:1--e2420:??
Zhao Yang and
Xiao-Xiao Ma Computing eigenvalues of quasi-rational
Bernstein--Vandermonde matrices to high
relative accuracy . . . . . . . . . . . e2421:1--e2421:??
Xiao Shan Chen and
Hongguo Xu Two-sided Rayleigh quotient iteration
for periodic eigenvalue problems . . . . e2422:1--e2422:??
Esmeralda Mainar and
Juan M. Peña and
Beatriz Rubio Accurate and efficient computations with
Wronskian matrices of Bernstein and
related bases . . . . . . . . . . . . . e2423:1--e2423:??
Abdulkarim Hassan Ibrahim and
Poom Kumam and
Auwal Bala Abubakar and
Abubakar Adamu Accelerated derivative-free method for
nonlinear monotone equations with an
application . . . . . . . . . . . . . . e2424:1--e2424:??
Erin Carson and
Tomás Gergelits and
Ichitaro Yamazaki Mixed precision $s$-step Lanczos and
conjugate gradient algorithms . . . . . e2425:1--e2425:??
Alexey Voronin and
Yunhui He and
Scott MacLachlan and
Luke N. Olson and
Raymond Tuminaro Low-order preconditioning of the Stokes
equations . . . . . . . . . . . . . . . e2426:1--e2426:??
Anonymous Issue Information . . . . . . . . . . . e2395:1--e2395:??
Jennifer A. Loe and
Ronald B. Morgan Toward efficient polynomial
preconditioning for GMRES . . . . . . . e2427:1--e2427:??
Nikita Zvonarev and
Nina Golyandina Fast and stable modification of the
Gauss--Newton method for low-rank signal
estimation . . . . . . . . . . . . . . . e2428:1--e2428:??
Yanjun Zhang and
Hanyu Li Greedy Motzkin--Kaczmarz methods for
solving linear systems . . . . . . . . . e2429:1--e2429:??
Tianyi Lu and
Yangfeng Su A Newton-type method for two-dimensional
eigenvalue problems . . . . . . . . . . e2430:1--e2430:??
Linjian Ma and
Edgar Solomonik Accelerating alternating least squares
for tensor decomposition by pairwise
perturbation . . . . . . . . . . . . . . e2431:1--e2431:??
Alberto Bucci and
Federico Poloni A continuation method for computing the
multilinear PageRank . . . . . . . . . . e2432:1--e2432:??
Quoc Khanh Nguyen and
Stefano Serra-Capizzano and
Cristina Tablino-Possio and
Eddie Wadbro Spectral analysis of the finite element
matrices approximating $2$D linearly
elastic structures and multigrid
proposals . . . . . . . . . . . . . . . e2433:1--e2433:??
Eda Oktay and
Erin Carson Multistage mixed precision iterative
refinement . . . . . . . . . . . . . . . e2434:1--e2434:??
Anonymous Issue Information . . . . . . . . . . . e2396:1--e2396:??
Lars Eldén and
Maryam Dehghan Spectral partitioning of large and
sparse 3-tensors using low-rank tensor
approximation . . . . . . . . . . . . . e2435:1--e2435:??
Marco Donatelli and
Rolf Krause and
Mariarosa Mazza and
Matteo Semplice and
Ken Trotti Matrices associated to two conservative
discretizations of Riesz fractional
operators and related multigrid solvers e2436:1--e2436:??
Shengjie Xu and
Fei Xue Inexact rational Krylov subspace method
for eigenvalue problems . . . . . . . . e2437:1--e2437:??
Zhizhi Li and
Huai Zhang Anderson acceleration of the
modulus-based matrix splitting
algorithms for horizontal nonlinear
complementarity systems . . . . . . . . e2438:1--e2438:??
Koen Ruymbeek and
Karl Meerbergen and
Wim Michiels Subspace method for
multiparameter-eigenvalue problems based
on tensor-train representations . . . . e2439:1--e2439:??
Wei Ma Two-step Ulm--Chebyshev-like method for
inverse singular value problems . . . . e2440:1--e2440:??
Nikos Barakitis and
Sven-Erik Ekström and
Paris Vassalos Preconditioners for fractional diffusion
equations based on the spectral symbol e2441:1--e2441:??
Anonymous Issue Information . . . . . . . . . . . e2397:1--e2397:??
Jonathan J. Hu and
Christopher M. Siefert and
Raymond S. Tuminaro Smoothed aggregation for difficult
stretched mesh and coefficient variation
problems . . . . . . . . . . . . . . . . e2442:1--e2442:??
Boian Alexandrov and
Derek F. DeSantis and
Gianmarco Manzini and
Erik W. Skau Nonnegative canonical tensor
decomposition with linear constraints:
nnCANDELINC . . . . . . . . . . . . . . e2443:1--e2443:??
Maolin Che and
Xuezhong Wang and
Yimin Wei and
Xile Zhao Fast randomized tensor singular value
thresholding for low-rank tensor
optimization . . . . . . . . . . . . . . e2444:1--e2444:??
Peter Benner and
Xin Liang Convergence analysis of vector extended
locally optimal block preconditioned
extended conjugate gradient method for
computing extreme eigenvalues . . . . . e2445:1--e2445:??
Lars Swijsen and
Joeri Van der Veken and
Nick Vannieuwenhoven Tensor completion using geodesics on
Segr\`e manifolds . . . . . . . . . . . e2446:1--e2446:??
Sarah Huber and
Yasunori Futamura and
Martin Galgon and
Akira Imakura and
Bruno Lang and
Tetsuya Sakurai Flexible subspace iteration with moments
for an effective contour
integration-based eigensolver . . . . . e2447:1--e2447:??
Stefano Massei and
Leonardo Robol and
Daniel Kressner Hierarchical adaptive low-rank format
with applications to discretized partial
differential equations . . . . . . . . . e2448:1--e2448:??
Anonymous Issue Information . . . . . . . . . . . e2449:1--e2449:??
Yan Dou and
Zhao-Zheng Liang A class of block alternating splitting
implicit iteration methods for double
saddle point linear systems . . . . . . e2455:1--e2455:??
Daniele A. Di Pietro and
Pierre Matalon and
Paul Mycek and
Ulrich Rüde High-order multigrid strategies for
hybrid high-order discretizations of
elliptic equations . . . . . . . . . . . e2456:1--e2456:??
Raymond van Venetië and
Jan Westerdiep Efficient space-time adaptivity for
parabolic evolution equations using
wavelets in time and finite elements in
space . . . . . . . . . . . . . . . . . e2457:1--e2457:??
Yotam Yaniv and
Jacob D. Moorman and
William Swartworth and
Thomas Tu and
Daji Landis and
Deanna Needell Selectable Set Randomized Kaczmarz . . . e2458:1--e2458:??
Eisa Khosravi Dehdezi and
Saeed Karimi On finding strong approximate inverses
for tensors . . . . . . . . . . . . . . e2460:1--e2460:??
Mariarosa Mazza and
Marco Donatelli and
Carla Manni and
Hendrik Speleers On the matrices in B-spline collocation
methods for Riesz fractional equations
and their spectral properties . . . . . e2462:1--e2462:??
Masumi Sugiyama and
Jacob B. Schroder and
Ben S. Southworth and
Stephanie Friedhoff Weighted relaxation for multigrid
reduction in time . . . . . . . . . . . e2465:1--e2465:??
Anonymous Issue Information . . . . . . . . . . . e2450:1--e2450:??
Li-Ping Zhang and
Zi-Cai Li and
Ming-Gong Lee and
Hung-Tsai Huang Lower and upper bounds of condition
number for Vandermonde-wise matrices and
method of fundamental solutions using
pseudo radial-lines . . . . . . . . . . e2466:1--e2466:??
Chunfeng Cui and
Ziyan Luo and
Liqun Qi and
Hong Yan The analytic connectivity in uniform
hypergraphs: Properties and computation e2468:1--e2468:??
Afrah Farea and
M. Serdar Çelebi On the evaluation of general sparse
hybrid linear solvers . . . . . . . . . e2469:1--e2469:??
Ling Tang and
Yajie Yu and
Yanjun Zhang and
Hanyu Li Sketch-and-project methods for tensor
linear systems . . . . . . . . . . . . . e2470:1--e2470:??
Pengjie Liu and
Xiaoyu Wu and
Hu Shao and
Yan Zhang and
Shuhan Cao Three adaptive hybrid derivative-free
projection methods for constrained
monotone nonlinear equations and their
applications . . . . . . . . . . . . . . e2471:1--e2471:??
Fabio Nobile and
Tommaso Vanzan Preconditioners for robust optimal
control problems under uncertainty . . . e2472:1--e2472:??
Vassilis Kalantzis and
Lior Horesh Enhanced algebraic substructuring for
symmetric generalized eigenvalue
problems . . . . . . . . . . . . . . . . e2473:1--e2473:??
Anonymous Issue Information . . . . . . . . . . . e2451:1--e2451:??
Boris N. Khoromskij and
Venera Khoromskaia Editorial: Tensor numerical methods and
their application in scientific
computing and data science . . . . . . . e2493:1--e2493:??
Ivan V. Oseledets and
Maxim V. Rakhuba and
André Uschmajew Local convergence of alternating
low-rank optimization methods with
overrelaxation . . . . . . . . . . . . . e2459:1--e2459:??
Martin Eigel and
Reinhold Schneider and
David Sommer Dynamical low-rank approximations of
solutions to the
Hamilton--Jacobi--Bellman equation . . . e2463:1--e2463:??
Alexander Litvinenko and
Youssef Marzouk and
Hermann G. Matthies and
Marco Scavino and
Alessio Spantini Computing $f$-divergences and distances
of high-dimensional probability density
functions . . . . . . . . . . . . . . . e2467:1--e2467:??
Quan Yu and
Xinzhen Zhang and
Yannan Chen and
Liqun Qi Low Tucker rank tensor completion using
a symmetric block coordinate descent
method . . . . . . . . . . . . . . . . . e2464:1--e2464:??
Harbir Antil and
Sergey Dolgov and
Akwum Onwunta TTRISK: Tensor train decomposition
algorithm for risk averse optimization e2481:1--e2481:??
Lev Vysotsky and
Maxim Rakhuba Tensor rank bounds and explicit QTT
representations for the inverses of
circulant matrices . . . . . . . . . . . e2461:1--e2461:??
Boris N. Khoromskij and
Venera Khoromskaia Fast solution of three-dimensional
elliptic equations with randomly
generated jumping coefficients by using
tensor-structured preconditioners . . . e2477:1--e2477:??
Anonymous Issue Information . . . . . . . . . . . e2452:1--e2452:??
Hai-Hua Qin and
Hong-Kui Pang and
Hai-Wei Sun Sine transform based preconditioning
techniques for space fractional
diffusion equations . . . . . . . . . . e2474:1--e2474:??
Xiao Shan Chen and
Hongguo Xu $ Q Z $ algorithm with two-sided
generalized Rayleigh quotient shifts . . e2475:1--e2475:??
Sk Safique Ahmad and
Prince Kanhya Backward error analysis of specified
eigenpairs for sparse matrix polynomials e2476:1--e2476:??
Seryas Vakili and
Ghodrat Ebadi and
Cornelis Vuik A parameterized extended shift-splitting
preconditioner for nonsymmetric saddle
point problems . . . . . . . . . . . . . e2478:1--e2478:??
Oscar Mickelin and
Sertac Karaman Recovering orthogonal tensors under
arbitrarily strong, but locally
correlated, noise . . . . . . . . . . . e2479:1--e2479:??
Zhizhi Li and
Huai Zhang On estimation of the optimal parameter
of the modulus-based matrix splitting
algorithm for linear complementarity
problems on second-order cones . . . . . e2480:1--e2480:??
Qingjie Hu and
Hongrun Zhang and
Zhijuan Zhou and
Yu Chen A class of improved conjugate gradient
methods for nonconvex unconstrained
optimization . . . . . . . . . . . . . . e2482:1--e2482:??
Anonymous Issue Information . . . . . . . . . . . e2453:1--e2453:??
Zhao Yang A fast and accurate algorithm for
solving linear systems associated with a
class of negative matrix . . . . . . . . e2483:1--e2483:??
Vincent Darrigrand and
Andrei Dumitrasc and
Carola Kruse and
Ulrich Rüde Inexact inner--outer Golub--Kahan
bidiagonalization method: a relaxation
strategy . . . . . . . . . . . . . . . . e2484:1--e2484:??
Yingjie Tian and
Xiaotong Yu and
Saiji Fu Multi-view side information-incorporated
tensor completion . . . . . . . . . . . e2485:1--e2485:??
Sven Gross and
Arnold Reusken Analysis of optimal preconditioners for
CutFEM . . . . . . . . . . . . . . . . . e2486:1--e2486:??
Xiao Shan Chen and
Hongguo Xu QR algorithm with two-sided Rayleigh
quotient shifts . . . . . . . . . . . . e2487:1--e2487:??
Monica Dessole and
Marco Dell'Orto and
Fabio Marcuzzi The Lawson--Hanson algorithm with
deviation maximization: Finite
convergence and sparse recovery . . . . e2490:1--e2490:??
Quan Yu and
Minru Bai Nonconvex optimization for third-order
tensor completion under wavelet
transform . . . . . . . . . . . . . . . e2489:1--e2489:??
Tobias Danczul and
Clemens Hofreither and
Joachim Schöberl A unified rational Krylov method for
elliptic and parabolic fractional
diffusion problems . . . . . . . . . . . e2488:1--e2488:??
Qinmeng Zou A flexible block classical Gram--Schmidt
skeleton with reorthogonalization . . . e2491:1--e2491:??
Soheil Sarabandi and
Federico Thomas Solution methods to the nearest rotation
matrix problem in $ \mathbb {R}^3 $ : a
comparative survey . . . . . . . . . . . e2492:1--e2492:??
Jorge Delgado and
Juan Manuel Peña High relative accuracy with some special
matrices related to $ \Gamma $ and $
\beta $ functions . . . . . . . . . . . e2494:1--e2494:??
Tao Li and
Qing-Wen Wang Structure preserving quaternion full
orthogonalization method with
applications . . . . . . . . . . . . . . e2495:1--e2495:??
Manuel Bogoya and
Sergei M. Grudsky Asymptotics for the eigenvalues of
Toeplitz matrices with a symbol having a
power singularity . . . . . . . . . . . e2496:1--e2496:??
Sabine Le Borne A block Cholesky--$ L U $-based $ Q R $
factorization for rectangular matrices e2497:1--e2497:??
Ming Zhou and
Zhaojun Bai and
Yunfeng Cai and
Klaus Neymeyr Convergence analysis of a block
preconditioned steepest descent
eigensolver with implicit deflation . . e2498:1--e2498:??
Fuqi Lai and
Wen Li and
Xiaofei Peng and
Yannan Chen Anderson accelerated fixed-point
iteration for multilinear PageRank . . . e2499:1--e2499:??
Chen Greif and
Yunhui He A closed-form multigrid smoothing factor
for an additive Vanka-type smoother
applied to the Poisson equation . . . . e2500:1--e2500:??
Lukas Kogler and
Philip L. Lederer and
Joachim Schöberl A conforming auxiliary space
preconditioner for the mass conserving
stress-yielding method . . . . . . . . . e2503:1--e2503:??
Yuhan Chen and
Chenliang Li Preconditioned tensor format conjugate
gradient squared and biconjugate
gradient stabilized methods for solving
Stein tensor equations . . . . . . . . . e2502:1--e2502:??
Colin Ponce and
Ruipeng Li and
Christina Mao and
Panayot Vassilevski Multilevel-in-width training for deep
neural network regression . . . . . . . e2501:1--e2501:??
Anonymous Issue Information . . . . . . . . . . . e2454:1--e2454:??
Takeshi Iwashita and
Kota Ikehara and
Takeshi Fukaya and
Takeshi Mifune Convergence acceleration of
preconditioned conjugate gradient solver
based on error vector sampling for a
sequence of linear systems . . . . . . . e2512:1--e2512:??
Frank Uhlig Constructing the field of values of
decomposable and general matrices using
the ZNN based path following method . . e2513:1--e2513:??
Nathan Heavner and
Chao Chen and
Abinand Gopal and
Per-Gunnar Martinsson Efficient algorithms for computing
rank-revealing factorizations on a GPU e2515:1--e2515:??
Rachel Minster and
Irina Viviano and
Xiaotian Liu and
Grey Ballard CP decomposition for tensors via
alternating least squares with $ Q R $
decomposition . . . . . . . . . . . . . e2511:1--e2511:??
Yunhui He A Vanka-based parameter-robust multigrid
relaxation for the Stokes--Darcy
Brinkman problems . . . . . . . . . . . e2514:1--e2514:??
T. Abe and
A. T. Chronopoulos The generalized residual cutting method
and its convergence characteristics . . e2517:1--e2517:??
David Evans and
Nan Ye Blockwise acceleration of alternating
least squares for canonical tensor
decomposition . . . . . . . . . . . . . e2516:1--e2516:??
James Lottes Optimal polynomial smoothers for
multigrid $V$-cycles . . . . . . . . . . e2518:1--e2518:??
Difeng Cai and
Edmond Chow and
Yuanzhe Xi Data-driven linear complexity low-rank
approximation of general kernel
matrices: a geometric approach . . . . . e2519:1--e2519:??
Stanislav Budzinskiy and
Nikolai Zamarashkin Tensor train completion: Local recovery
guarantees via Riemannian optimization e2520:1--e2520:??
Petr N. Vabishchevich Nonlinear approximation of functions
based on nonnegative least squares
solver . . . . . . . . . . . . . . . . . e2522:1--e2522:??
E. Mainar and
J. M. Peña and
B. Rubio Total positivity and accurate
computations with Gram matrices of
Said--Ball bases . . . . . . . . . . . . e2521:1--e2521:??