Daniel B. Szyld

88 papers A 1Journal 79Unranked 5
YearRankTypeTitle / Venue / Authors
2025 J jnl
Analysis of Randomized Householder-Cholesky QR factorization with multisketching.
Numerische Mathematik
Andrew J. Higgins, Daniel B. Szyld, Erik G. Boman, Ichitaro Yamazaki
2025 J jnl
Do you precondition on the left or on the right?
CoRR
Nicole Spillane, Pierre Matalon, Daniel B. Szyld
2025 J jnl
Improved Polynomial Bounds and Acceleration of GMRES by Solving a min-max Problem on Rectangles, and by Deflating.
CoRR
Nicole Spillane, Daniel B. Szyld
2025 J jnl
Multiprecision computations with Schwarz methods.
CoRR
Michal Outrata, Daniel B. Szyld
2025 J jnl
Random-sketching Techniques to Enhance the Numerically Stability of Block Orthogonalization Algorithms for s-step GMRES.
CoRR
Ichitaro Yamazaki, Andrew J. Higgins, Erik G. Boman, Daniel B. Szyld
2024 J jnl
A Domain Decomposition Method for Solution of a PDE-Constrained Generalized Nash Equilibrium Model of Biofilm Community Metabolism.
SIAM J. Appl. Math.
Isaac Klapper, Daniel B. Szyld, Xinli Yu, Karsten Zengler, Tianyu Zhang, Cristal Zuñiga
2024 J jnl
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space.
SIAM J. Matrix Anal. Appl.
Nicole Spillane, Daniel B. Szyld
2024 J jnl
Numerical solution of singular Sylvester equations.
J. Comput. Appl. Math.
Eric King-Wah Chu, Liangshao Hou, Daniel B. Szyld, Jieyong Zhou
2024 A conf
Two-Stage Block Orthogonalization to Improve Performance of s-step GMRES.
IPDPS
Ichitaro Yamazaki, Andrew J. Higgins, Erik G. Boman, Daniel B. Szyld
2024 J jnl
Two-Stage Block Orthogonalization to Improve Performance of s-step GMRES.
CoRR
Ichitaro Yamazaki, Andrew J. Higgins, Erik G. Boman, Daniel B. Szyld
2023 J jnl
Analysis of Randomized Householder-Cholesky QR Factorization with Multisketching.
CoRR
Andrew J. Higgins, Daniel B. Szyld, Erik G. Boman, Ichitaro Yamazaki
2023 J jnl
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning and Deflation, Leading to a New Deflation Space.
CoRR
Nicole Spillane, Daniel B. Szyld
2023 J jnl
On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations.
Numer. Algorithms
Andreas Frommer, Daniel B. Szyld
2023 J jnl
Optimal size of the block in block GMRES on GPUs: computational model and experiments.
Numer. Algorithms
Erik G. Boman, Andrew J. Higgins, Daniel B. Szyld
2022 J jnl
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs.
SIAM J. Sci. Comput.
Candan Güdücü, Jörg Liesen, Volker Mehrmann, Daniel B. Szyld
2022 J jnl
On the Convergence of Randomized and Greedy Relaxation Schemes for Solving Nonsingular Linear Systems of Equations.
CoRR
Andreas Frommer, Daniel B. Szyld
2022 J jnl
Preconditioned Chebyshev BiCG for parameterized linear systems.
CoRR
Siobhán Correnty, Elias Jarlebring, Daniel B. Szyld
2021 J jnl
A posteriori superlinear convergence bounds for block conjugate gradient.
CoRR
Christian E. Schaerer, Daniel B. Szyld, Pedro J. Torres
2021 J jnl
Asynchronous Richardson iterations: theory and practice.
Numer. Algorithms
Edmond Chow, Andreas Frommer, Daniel B. Szyld
2021 J jnl
Numerical solution of singular Lyapunov equations.
Numer. Linear Algebra Appl.
Eric King-Wah Chu, Daniel B. Szyld, Jieyong Zhou
2021 J jnl
On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs.
CoRR
Candan Güdücü, Jörg Liesen, Volker Mehrmann, Daniel B. Szyld
2020 — book
75 Years of Mathematics of Computation
75 Years of Mathematics of Computation
Susanne C. Brenner, Igor E. Shparlinski, Chi-Wang Shu, Daniel B. Szyld
2020 J jnl
Asynchronous Richardson iterations.
CoRR
Edmond Chow, Andreas Frommer, Daniel B. Szyld
2020 J jnl
Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM.
SIAM J. Matrix Anal. Appl.
Andreas Frommer, Kathryn Lund, Daniel B. Szyld
2020 J jnl
Scalable Asynchronous Domain Decomposition Solvers.
SIAM J. Sci. Comput.
Christian Glusa, Erik G. Boman, Edmond Chow, Sivasankaran Rajamanickam, Daniel B. Szyld
2020 J jnl
Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains.
Numer. Linear Algebra Appl.
Mireille El Haddad, José C. Garay, Frédéric Magoulès, Daniel B. Szyld
2017 J jnl
Asynchronous optimized Schwarz methods with and without overlap.
Numerische Mathematik
Frédéric Magoulès, Daniel B. Szyld, Cédric Venet
2017 J jnl
Multipreconditioned Gmres for Shifted Systems.
SIAM J. Sci. Comput.
Tania Bakhos, Peter K. Kitanidis, Scott Ladenheim, Arvind K. Saibaba, Daniel B. Szyld
2017 J jnl
Preconditioned Multishift BiCG for ℋ
SIAM J. Matrix Anal. Appl.
Mian Ilyas Ahmad, Daniel B. Szyld, Martin B. van Gijzen
2017 J jnl
The Radau-Lanczos Method for Matrix Functions.
SIAM J. Matrix Anal. Appl.
Andreas Frommer, Kathryn Lund, Marcel Schweitzer, Daniel B. Szyld
2016 J jnl
A block Recycled GMRES method with investigations into aspects of solver performance.
CoRR
Michael L. Parks, Kirk M. Soodhalter, Daniel B. Szyld
2016 J jnl
Constraint Preconditioning for the Coupled Stokes-Darcy System.
SIAM J. Sci. Comput.
Prince Chidyagwai, Scott Ladenheim, Daniel B. Szyld
2016 — ch.
Domain Overlap for Iterative Sparse Triangular Solves on GPUs.
Software for Exascale Computing
Hartwig Anzt, Edmond Chow, Daniel B. Szyld, Jack J. Dongarra
2016 J jnl
Efficient low-rank solution of generalized Lyapunov equations.
Numerische Mathematik
Stephen D. Shank, Valeria Simoncini, Daniel B. Szyld
2016 J jnl
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues.
Math. Comput.
Daniel B. Szyld, Fei Xue
2015 J jnl
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms.
Numerische Mathematik
Daniel B. Szyld, Fei Xue
2015 J jnl
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms.
Numerische Mathematik
Daniel B. Szyld, Fei Xue
2015 J jnl
Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues.
SIAM J. Sci. Comput.
Daniel B. Szyld, Eugene Vecharynski, Fei Xue
2014 J jnl
On the performance of the algebraic optimized Schwarz methods with applications.
Numer. Algorithms
Lahcen Laayouni, Daniel B. Szyld
2013 J jnl
Krylov Subspace Recycling for Sequences of Shifted Linear Systems
CoRR
Kirk M. Soodhalter, Daniel B. Szyld, Fei Xue
2013 J jnl
Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems.
Numerische Mathematik
Daniel B. Szyld, Fei Xue
2013 J jnl
Overlapping Blocks by Growing a Partition with Applications to Preconditioning.
SIAM J. Sci. Comput.
David Fritzsche, Andreas Frommer, Stephen D. Shank, Daniel B. Szyld
2012 J jnl
An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains.
SIAM J. Matrix Anal. Appl.
Martin J. Gander, Sébastien Loisel, Daniel B. Szyld
2012 J jnl
Short-Term Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices.
SIAM J. Matrix Anal. Appl.
Mark Embree, Josef A. Sifuentes, Kirk M. Soodhalter, Daniel B. Szyld, Fei Xue
2012 J jnl
The Optimized Schwarz Method with a Coarse Grid Correction.
SIAM J. Sci. Comput.
Olivier Dubois, Martin J. Gander, Sébastien Loisel, Amik St.-Cyr, Daniel B. Szyld
2011 J jnl
Efficient Preconditioned Inner Solves For Inexact Rayleigh Quotient Iteration And Their Connections To The Single-Vector Jacobi-Davidson Method.
SIAM J. Matrix Anal. Appl.
Daniel B. Szyld, Fei Xue
2010 J jnl
Interpreting IDR as a Petrov--Galerkin Method.
SIAM J. Sci. Comput.
Valeria Simoncini, Daniel B. Szyld
2010 J jnl
On the geometric convergence of optimized Schwarz methods with applications to elliptic problems.
Numerische Mathematik
Sébastien Loisel, Daniel B. Szyld
2009 J jnl
An introduction to iterative Toeplitz solvers.
Math. Comput.
Daniel B. Szyld
2009 J jnl
The matrix eigenvalue problem: GR and Krylov subspace methods.
Math. Comput.
Daniel B. Szyld
2009 J jnl
Two characterizations of matrices with the Perron-Frobenius property.
Numer. Linear Algebra Appl.
Abed Elhashash, Daniel B. Szyld
2008 J jnl
A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES.
Numer. Linear Algebra Appl.
Xiuhong Du, Daniel B. Szyld
2008 J jnl
Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods.
SIAM J. Matrix Anal. Appl.
Andreas Frommer, Reinhard Nabben, Daniel B. Szyld
2008 J jnl
New conditions for non-stagnation of minimal residual methods.
Numerische Mathematik
Valeria Simoncini, Daniel B. Szyld
2008 J jnl
On Hybrid Multigrid-Schwarz Algorithms.
J. Sci. Comput.
Sébastien Loisel, Reinhard Nabben, Daniel B. Szyld
2007 — conf
07071 Abstracts Collection -- Web Information Retrieval and Linear Algebra Algorithms.
Web Information Retrieval and Linear Algebra Algorithms
Andreas Frommer, Michael W. Mahoney, Daniel B. Szyld
2007 — conf
07071 Report on Dagstuhl Seminar -- Web Information Retrieval and Linear Algebra Algorithms.
Web Information Retrieval and Linear Algebra Algorithms
Andreas Frommer, Michael W. Mahoney, Daniel B. Szyld
2007 J jnl
Extensions of Certain Graph-based Algorithms for Preconditioning.
SIAM J. Sci. Comput.
David Fritzsche, Andreas Frommer, Daniel B. Szyld
2007 J jnl
Recent computational developments in Krylov subspace methods for linear systems.
Numer. Linear Algebra Appl.
Valeria Simoncini, Daniel B. Szyld
2007 — ed.
Web Information Retrieval and Linear Algebra Algorithms, 11.02. - 16.02.2007
Web Information Retrieval and Linear Algebra Algorithms
Andreas Frommer, Michael W. Mahoney, Daniel B. Szyld
2006 J jnl
Asynchronous iterative computations with Web information retrieval structures: The PageRank case
CoRR
Giorgios Kollias, Efstratios Gallopoulos, Daniel B. Szyld
2006 J jnl
Schwarz Iterations for Symmetric Positive Semidefinite Problems.
SIAM J. Matrix Anal. Appl.
Reinhard Nabben, Daniel B. Szyld
2006 J jnl
The many proofs of an identity on the norm of oblique projections.
Numer. Algorithms
Daniel B. Szyld
2005 J jnl
Additive Schwarz Iterations for Markov Chains.
SIAM J. Matrix Anal. Appl.
Rafael Bru, Francisco Pedroche, Daniel B. Szyld
2005 — conf
Asynchronous Iterative Computations with Web Information Retrieval Structures: The PageRank Case.
PARCO
Giorgios Kollias, Efstratios Gallopoulos, Daniel B. Szyld
2005 J jnl
On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods.
SIAM Rev.
Valeria Simoncini, Daniel B. Szyld
2005 J jnl
The effect of non-optimal bases on the convergence of Krylov subspace methods.
Numerische Mathematik
Valeria Simoncini, Daniel B. Szyld
2003 J jnl
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing.
SIAM J. Sci. Comput.
Valeria Simoncini, Daniel B. Szyld
2002 J jnl
Comparison of Convergence of General Stationary Iterative Methods for Singular Matrices.
SIAM J. Matrix Anal. Appl.
Ivo Marek, Daniel B. Szyld
2002 J jnl
Convergence Theory of Restricted Multiplicative Schwarz Methods.
SIAM J. Numer. Anal.
Reinhard Nabben, Daniel B. Szyld
2002 J jnl
Flexible Inner-Outer Krylov Subspace Methods.
SIAM J. Numer. Anal.
Valeria Simoncini, Daniel B. Szyld
2001 J jnl
Algebraic theory of multiplicative Schwarz methods.
Numerische Mathematik
Michele Benzi, Andreas Frommer, Reinhard Nabben, Daniel B. Szyld
2001 J jnl
An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms.
SIAM J. Numer. Anal.
Andreas Frommer, Daniel B. Szyld
2001 J jnl
FQMR: A Flexible Quasi-Minimal Residual Method with Inexact Preconditioning.
SIAM J. Sci. Comput.
Daniel B. Szyld, Judith A. Vogel
2001 J jnl
Nonstationary Multisplittings with General Weighting Matrices.
SIAM J. Matrix Anal. Appl.
Violeta Migallón, José Penadés, Daniel B. Szyld
2000 J jnl
Convergence of some asynchronous nonlinear multisplitting methods.
Numer. Algorithms
Daniel B. Szyld, Jian-Jun Xu
1999 J jnl
Block and asynchronous two-stage methods for mildly nonlinear systems.
Numerische Mathematik
Zhong-Zhi Bai, Violeta Migallón, José Penadés, Daniel B. Szyld
1999 J jnl
Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems.
SIAM J. Sci. Comput.
Michele Benzi, Daniel B. Szyld, Arno C. N. van Duin
1999 J jnl
Timing Models and Local Stopping Criteria for Asynchronous Iterative Algorithms.
J. Parallel Distributed Comput.
Kostas Blathras, Daniel B. Szyld, Yuan Shi
1999 J jnl
Weighted max norms, splittings, and overlapping additive Schwarz iterations.
Numerische Mathematik
Andreas Frommer, Daniel B. Szyld
1996 J jnl
Block Two-stage Methods for Singular Systems and Markov Chains.
Numer. Linear Algebra Appl.
Violeta Migallón, José Penadés, Daniel B. Szyld
1996 J jnl
Two-stage Multisplitting Methods with Overlapping Blocks.
Numer. Linear Algebra Appl.
Mark T. Jones, Daniel B. Szyld
1995 J jnl
Regions of convergence of the Rayleigh quotient iteration method.
Numer. Linear Algebra Appl.
Ricardo D. Pantazis, Daniel B. Szyld
1994 J jnl
Equivalence of conditions for convergence of iterative methods for singular equations.
Numer. Linear Algebra Appl.
Daniel B. Szyld
1992 J jnl
Two-Stage and Multisplitting Methods for the Parallel Solution of Linear Systems.
SIAM J. Matrix Anal. Appl.
Daniel B. Szyld, Mark T. Jones
1990 J jnl
A Block Ordering Method for Sparse Matrices.
SIAM J. Sci. Comput.
James O'Neil, Daniel B. Szyld
1989 — conf
A Multiprocessor Method for the Solution of the Generalized Eigenvalue Problem on an Interval.
PP
Ricardo D. Pantazis, Daniel B. Szyld
1987 — conf
A Parallel, Hybrid Algorithm for the Genrealized Eigenproblem.
PP
Shing C. Ma, Merrell L. Patrick, Daniel B. Szyld