Daniel B. Szyld

88 papers A 1Journal 79Unranked 5

Year	Rank	Type	Title / 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