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Volume 1, Number 1, 1992Andrew 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:??
Anonymous Issue Information . . . . . . . . . . . e2504:1--e2504:?? Daniele Bertaccini and Pasqua D'Ambra and Fabio Durastante and Salvatore Filippone Why diffusion-based preconditioning of Richards equation works: Spectral analysis and computational experiments at very large scale . . . . . . . . . . e2523:1--e2523:?? Thijs Steel and Raf Vandebril and Julien Langou A new deflation criterion for the $ Q Z $ algorithm . . . . . . . . . . . . . . e2524:1--e2524:10 Alexander Osinsky Volume-based subset selection . . . . . e2525:1--e2525:?? Mikhail Lepilov and Jianlin Xia Rank-structured approximation of some Cauchy matrices with sublinear complexity . . . . . . . . . . . . . . . e2526:1--e2526:?? Shany Shmueli and Petros Drineas and Haim Avron Low-rank updates of matrix square roots e2528:1--e2528:?? Olivier Goux and Selime Gürol and Anthony T. Weaver and Youssef Diouane and Oliver Guillet Impact of correlated observation errors on the conditioning of variational data assimilation problems . . . . . . . . . e2529:1--e2529:?? Ana Marco and José-Javier Martínez and Raquel Viaña Accurate bidiagonal decomposition of Lagrange--Vandermonde matrices and applications . . . . . . . . . . . . . . e2527:1--e2527:?? Owe Axelsson and Ivo Dravins and Maya Neytcheva Stage-parallel preconditioners for implicit Runge--Kutta methods of arbitrarily high order, linear problems e2532:1--e2532:?? Diana Halikias and Alex Townsend Structured matrix recovery from matrix-vector products . . . . . . . . . e2531:1--e2531:??
Anonymous Issue Information . . . . . . . . . . . e2505:1--e2505:?? Pengjie Liu and Hu Shao and Zihang Yuan and Jianhao Zhou A family of inertial-based derivative-free projection methods with a correction step for constrained nonlinear equations and their applications . . . . . . . . . . . . . . e2533:1--e2533:?? Shaerdan Shataer and Amos S. Lawless and Nancy K. Nichols Conditioning of hybrid variational data assimilation . . . . . . . . . . . . . . e2534:1--e2534:?? R. Behling and H. Lara and H. Oviedo Computing the completely positive factorization via alternating minimization . . . . . . . . . . . . . . e2535:1--e2535:?? A. El Hachimi and K. Jbilou and A. Ratnani and L. Reichel A tensor bidiagonalization method for higher-order singular value decomposition with applications . . . . e2530:1--e2530:?? Ren-Jie Zhao and Tomohiro Sogabe and Tomoya Kemmochi and Shao-Liang Zhang Shifted LOPBiCG: A locally orthogonal product-type method for solving nonsymmetric shifted linear systems based on Bi-CGSTAB . . . . . . . . . . . e2538:1--e2538:?? Barry Lee Bringing physics into the coarse-grid selection: Approximate diffusion distance/effective resistance measures for network analysis and algebraic multigrid for graph Laplacians and systems of elliptic partial differential equations . . . . . . . . . . . . . . . e2539:1--e2539:?? Michiel E. Hochstenbach and Tomaz Kosir and Bor Plestenjak Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models . . . . . . . . . . . . . . . e2540:1--e2540:??
Anonymous Issue Information . . . . . . . . . . . e2506:1--e2506:?? Zhong-Zhi Bai A two-step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations e2510:1--e2510:?? Mariarosa Mazza and Stefano Serra-Capizzano and Rosita Luisa Sormani Algebra preconditionings for $2$D Riesz distributed-order space-fractional diffusion equations on convex domains e2536:1--e2536:?? J. Karátson and S. Sysala and M. Béres Quasi-Newton variable preconditioning for nonlinear elasticity systems in $3$D e2537:1--e2537:?? Zhao-Li Shen and Bruno Carpentieri and Chun Wen and Jian-Jun Wang and Stefano Serra-Capizzano and Shi-Ping Du Preconditioned weighted full orthogonalization method for solving singular linear systems from PageRank problems . . . . . . . . . . . . . . . . e2541:1--e2541:?? Yajie Yu and Hanyu Li Practical alternating least squares for tensor ring decomposition . . . . . . . e2542:1--e2542:?? Jianheng Chen and Wen Huang An iterative algorithm for low-rank tensor completion problem with sparse noise and missing values . . . . . . . . e2544:1--e2544:?? Tareq Zaman and Nicolas Nytko and Ali Taghibakhshi and Scott MacLachlan and Luke Olson and Matthew West Generalizing reduction-based algebraic multigrid . . . . . . . . . . . . . . . e2543:1--e2543:?? Tomás Luber and Stanislav Sysala Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material . . . . . . . . . e2546:1--e2546:??