Daniel B. Szyld

Numer. Algorithms, January, 2023

Optimal size of the block in block GMRES on GPUs: computational model and experiments.

[BibT_eX]

[DOI]

Erik G. Boman

Andrew J. Higgins

Numer. Algorithms, January, 2023

New Convergence Analysis of GMRES with Weighted Norms, Preconditioning and Deflation, Leading to a New Deflation Space.

[BibT_eX]

[DOI]

Nicole Spillane

CoRR, 2023

Analysis of Randomized Householder-Cholesky QR Factorization with Multisketching.

[BibT_eX]

[DOI]

CoRR, 2023

2022

On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., August, 2022

Preconditioned Chebyshev BiCG for parameterized linear systems.

[BibT_eX]

[DOI]

Siobhán Correnty

Elias Jarlebring

CoRR, 2022

2021

Numerical solution of singular Lyapunov equations.

[BibT_eX]

[DOI]

Eric King-Wah Chu

Jieyong Zhou

Numer. Linear Algebra Appl., 2021

Asynchronous Richardson iterations: theory and practice.

[BibT_eX]

[DOI]

Edmond Chow

Numer. Algorithms, 2021

A posteriori superlinear convergence bounds for block conjugate gradient.

[BibT_eX]

[DOI]

Christian E. Schaerer

Sivasankaran Rajamanickam

Pedro J. Torres

CoRR, 2021

2020

Scalable Asynchronous Domain Decomposition Solvers.

[BibT_eX]

[DOI]

Christian A. Glusa

Erik G. Boman

Edmond Chow

SIAM J. Sci. Comput., 2020

Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM.

[BibT_eX]

[DOI]

Kathryn Lund

SIAM J. Matrix Anal. Appl., 2020

Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2020

Asynchronous Richardson iterations.

[BibT_eX]

[DOI]

Edmond Chow

CoRR, 2020

2017

Multipreconditioned Gmres for Shifted Systems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2017

The Radau-Lanczos Method for Matrix Functions.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2017

Preconditioned Multishift BiCG for ℋ<sub>2</sub>-Optimal Model Reduction.

[BibT_eX]

[DOI]

Mian Ilyas Ahmad

Martin B. van Gijzen

SIAM J. Matrix Anal. Appl., 2017

Asynchronous optimized Schwarz methods with and without overlap.

[BibT_eX]

[DOI]

Frédéric Magoulès

Cédric Venet

Numerische Mathematik, 2017

2016

Domain Overlap for Iterative Sparse Triangular Solves on GPUs.

[BibT_eX]

[DOI]

Proceedings of the Software for Exascale Computing - SPPEXA 2013-2015, 2016

Constraint Preconditioning for the Coupled Stokes-Darcy System.

[BibT_eX]

[DOI]

Prince Chidyagwai

Scott Ladenheim

SIAM J. Sci. Comput., 2016

Efficient low-rank solution of generalized Lyapunov equations.

[BibT_eX]

[DOI]

Stephen D. Shank

Numerische Mathematik, 2016

Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues.

[BibT_eX]

[DOI]

Math. Comput., 2016

A block Recycled GMRES method with investigations into aspects of solver performance.

[BibT_eX]

[DOI]

Michael L. Parks

Kirk M. Soodhalter

CoRR, 2016

2015

Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues.

[BibT_eX]

[DOI]

Eugene Vecharynski

SIAM J. Sci. Comput., 2015

Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms.

[BibT_eX]

[DOI]

Numerische Mathematik, 2015

Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms.

[BibT_eX]

[DOI]

Numerische Mathematik, 2015

2014

On the performance of the algebraic optimized Schwarz methods with applications.

[BibT_eX]

[DOI]

Lahcen Laayouni

Numer. Algorithms, 2014

2013

Overlapping Blocks by Growing a Partition with Applications to Preconditioning.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2013

Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2013

Krylov Subspace Recycling for Sequences of Shifted Linear Systems

[BibT_eX]

[DOI]

Kirk M. Soodhalter

CoRR, 2013

2012

The Optimized Schwarz Method with a Coarse Grid Correction.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2012

An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains.

[BibT_eX]

[DOI]

Martin J. Gander

Sébastien Loisel

SIAM J. Matrix Anal. Appl., 2012

Short-Term Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2012

2011

Efficient Preconditioned Inner Solves For Inexact Rayleigh Quotient Iteration And Their Connections To The Single-Vector Jacobi-Davidson Method.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2011

2010

Interpreting IDR as a Petrov--Galerkin Method.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2010

On the geometric convergence of optimized Schwarz methods with applications to elliptic problems.

[BibT_eX]

[DOI]

Sébastien Loisel

Numerische Mathematik, 2010

2009

Two characterizations of matrices with the Perron-Frobenius property.

[BibT_eX]

[DOI]

Abed Elhashash

Numer. Linear Algebra Appl., 2009

The matrix eigenvalue problem: GR and Krylov subspace methods.

[BibT_eX]

[DOI]

Math. Comput., 2009

An introduction to iterative Toeplitz solvers.

[BibT_eX]

[DOI]

Math. Comput., 2009

2008

Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2008

New conditions for non-stagnation of minimal residual methods.

[BibT_eX]

[DOI]

Numerische Mathematik, 2008

A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES.

[BibT_eX]

[DOI]

Xiuhong Du

Numer. Linear Algebra Appl., 2008

On Hybrid Multigrid-Schwarz Algorithms.

[BibT_eX]

[DOI]

Sébastien Loisel

J. Sci. Comput., 2008

2007

Extensions of Certain Graph-based Algorithms for Preconditioning.

[BibT_eX]

[DOI]

David Fritzsche

SIAM J. Sci. Comput., 2007

Recent computational developments in Krylov subspace methods for linear systems.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2007

07071 Abstracts Collection -- Web Information Retrieval and Linear Algebra Algorithms.

[BibT_eX]

[DOI]

Michael W. Mahoney

Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

07071 Report on Dagstuhl Seminar -- Web Information Retrieval and Linear Algebra Algorithms.

[BibT_eX]

[DOI]

Michael W. Mahoney

Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

2006

Schwarz Iterations for Symmetric Positive Semidefinite Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

The many proofs of an identity on the norm of oblique projections.

[BibT_eX]

[DOI]

Numer. Algorithms, 2006

2005

On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods.

[BibT_eX]

[DOI]

SIAM Rev., 2005

Additive Schwarz Iterations for Markov Chains.

[BibT_eX]

[DOI]

Rafael Bru

Francisco Pedroche

SIAM J. Matrix Anal. Appl., 2005

The effect of non-optimal bases on the convergence of Krylov subspace methods.

[BibT_eX]

[DOI]

Numerische Mathematik, 2005

Asynchronous Iterative Computations with Web Information Retrieval Structures: The PageRank Case.

[BibT_eX]

Giorgios Kollias

Efstratios Gallopoulos

Proceedings of the Parallel Computing: Current & Future Issues of High-End Computing, 2005

2003

Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2003

2002

Flexible Inner-Outer Krylov Subspace Methods.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2002

Convergence Theory of Restricted Multiplicative Schwarz Methods.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2002

Comparison of Convergence of General Stationary Iterative Methods for Singular Matrices.

[BibT_eX]

[DOI]

Ivo Marek

SIAM J. Matrix Anal. Appl., 2002

2001

FQMR: A Flexible Quasi-Minimal Residual Method with Inexact Preconditioning.

[BibT_eX]

[DOI]

Judith A. Vogel

SIAM J. Sci. Comput., 2001

An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2001

Nonstationary Multisplittings with General Weighting Matrices.

[BibT_eX]

[DOI]

Violeta Migallón

José Penadés

SIAM J. Matrix Anal. Appl., 2001

Algebraic theory of multiplicative Schwarz methods.

[BibT_eX]

[DOI]

Numerische Mathematik, 2001

2000

Convergence of some asynchronous nonlinear multisplitting methods.

[BibT_eX]

[DOI]

Jian-Jun Xu

Numer. Algorithms, 2000

1999

Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems.

[BibT_eX]

[DOI]

Michele Benzi

Arno C. N. van Duin

SIAM J. Sci. Comput., 1999

Weighted max norms, splittings, and overlapping additive Schwarz iterations.

[BibT_eX]

[DOI]

Numerische Mathematik, 1999

Block and asynchronous two-stage methods for mildly nonlinear systems.

[BibT_eX]

[DOI]

Numerische Mathematik, 1999

Timing Models and Local Stopping Criteria for Asynchronous Iterative Algorithms.

[BibT_eX]

[DOI]

Kostas Blathras

Yuan Shi

J. Parallel Distributed Comput., 1999

1996

Block Two-stage Methods for Singular Systems and Markov Chains.

[BibT_eX]

[DOI]

Violeta Migallón

José Penadés

Numer. Linear Algebra Appl., 1996

Two-stage Multisplitting Methods with Overlapping Blocks.

[BibT_eX]

[DOI]

Mark T. Jones

Numer. Linear Algebra Appl., 1996

1995

Regions of convergence of the Rayleigh quotient iteration method.

[BibT_eX]

[DOI]

Ricardo D. Pantazis

Numer. Linear Algebra Appl., 1995

1994

Equivalence of conditions for convergence of iterative methods for singular equations.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 1994

1992

Two-Stage and Multisplitting Methods for the Parallel Solution of Linear Systems.

[BibT_eX]

[DOI]

Mark T. Jones

SIAM J. Matrix Anal. Appl., 1992

1990

A Block Ordering Method for Sparse Matrices.

[BibT_eX]

[DOI]

James O'Neil

SIAM J. Sci. Comput., 1990

1989

A Multiprocessor Method for the Solution of the Generalized Eigenvalue Problem on an Interval.

[BibT_eX]

Ricardo D. Pantazis

Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing, 1989

1987

A Parallel, Hybrid Algorithm for the Genrealized Eigenproblem.

[BibT_eX]

Shing C. Ma

Merrell L. Patrick