Daniel B. Szyld

Publication Activity (10 Years)

Years Active: 1987-2024
Publications (10 Years): 27

Top Topics

Conjugate Gradient

Numerical Solution

Nash Equilibrium

Top Venues

SIAM J. Sci. Comput.

Numerische Mathematik

Numer. Algorithms

Publications

Isaac Klapper, Daniel B. Szyld, Xinli Yu, Karsten Zengler, Tianyu Zhang, Cristal Zuñiga
A Domain Decomposition Method for Solution of a PDE-Constrained Generalized Nash Equilibrium Model of Biofilm Community Metabolism. SIAM J. Appl. Math. 84 (1) (2024)
Ichitaro Yamazaki, Andrew J. Higgins, Erik G. Boman, Daniel B. Szyld
Two-Stage Block Orthogonalization to Improve Performance of s-step GMRES. CoRR (2024)
Ichitaro Yamazaki, Andrew J. Higgins, Erik G. Boman, Daniel B. Szyld
Two-Stage Block Orthogonalization to Improve Performance of s-step GMRES. IPDPS (2024)
Eric King-Wah Chu, Liangshao Hou, Daniel B. Szyld, Jieyong Zhou
Numerical solution of singular Sylvester equations. J. Comput. Appl. Math. 436 (2024)
Andreas Frommer, Daniel B. Szyld
On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations. Numer. Algorithms 92 (1) (2023)
Erik G. Boman, Andrew J. Higgins, Daniel B. Szyld
Optimal size of the block in block GMRES on GPUs: computational model and experiments. Numer. Algorithms 92 (1) (2023)
Nicole Spillane, Daniel B. Szyld
New Convergence Analysis of GMRES with Weighted Norms, Preconditioning and Deflation, Leading to a New Deflation Space. CoRR (2023)
Andrew J. Higgins, Daniel B. Szyld, Erik G. Boman, Ichitaro Yamazaki
Analysis of Randomized Householder-Cholesky QR Factorization with Multisketching. CoRR (2023)
Siobhán Correnty, Elias Jarlebring, Daniel B. Szyld
Preconditioned Chebyshev BiCG for parameterized linear systems. CoRR (2022)
Candan Güdücü, Jörg Liesen, Volker Mehrmann, Daniel B. Szyld
On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs. SIAM J. Sci. Comput. 44 (4) (2022)
Andreas Frommer, Daniel B. Szyld
On the Convergence of Randomized and Greedy Relaxation Schemes for Solving Nonsingular Linear Systems of Equations. CoRR (2022)
Eric King-Wah Chu, Daniel B. Szyld, Jieyong Zhou
Numerical solution of singular Lyapunov equations. Numer. Linear Algebra Appl. 28 (5) (2021)
Christian E. Schaerer, Daniel B. Szyld, Pedro J. Torres
A posteriori superlinear convergence bounds for block conjugate gradient. CoRR (2021)
Edmond Chow, Andreas Frommer, Daniel B. Szyld
Asynchronous Richardson iterations: theory and practice. Numer. Algorithms 87 (4) (2021)
Candan Güdücü, Jörg Liesen, Volker Mehrmann, Daniel B. Szyld
On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs. CoRR (2021)
Christian A. Glusa, Erik G. Boman, Edmond Chow, Sivasankaran Rajamanickam, Daniel B. Szyld
Scalable Asynchronous Domain Decomposition Solvers. SIAM J. Sci. Comput. 42 (6) (2020)
Edmond Chow, Andreas Frommer, Daniel B. Szyld
Asynchronous Richardson iterations. CoRR (2020)
Mireille El Haddad, José C. Garay, Frédéric Magoulès, Daniel B. Szyld
Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains. Numer. Linear Algebra Appl. 27 (2) (2020)
Andreas Frommer, Kathryn Lund, Daniel B. Szyld
Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM. SIAM J. Matrix Anal. Appl. 41 (2) (2020)
Frédéric Magoulès, Daniel B. Szyld, Cédric Venet
Asynchronous optimized Schwarz methods with and without overlap. Numerische Mathematik 137 (1) (2017)
Mian Ilyas Ahmad, Daniel B. Szyld, Martin B. van Gijzen
-Optimal Model Reduction. SIAM J. Matrix Anal. Appl. 38 (2) (2017)
Tania Bakhos, Peter K. Kitanidis, Scott Ladenheim, Arvind K. Saibaba, Daniel B. Szyld
Multipreconditioned Gmres for Shifted Systems. SIAM J. Sci. Comput. 39 (5) (2017)
Andreas Frommer, Kathryn Lund, Marcel Schweitzer, Daniel B. Szyld
The Radau-Lanczos Method for Matrix Functions. SIAM J. Matrix Anal. Appl. 38 (3) (2017)
Stephen D. Shank, Valeria Simoncini, Daniel B. Szyld
Efficient low-rank solution of generalized Lyapunov equations. Numerische Mathematik 134 (2) (2016)
Prince Chidyagwai, Scott Ladenheim, Daniel B. Szyld
Constraint Preconditioning for the Coupled Stokes-Darcy System. SIAM J. Sci. Comput. 38 (2) (2016)
Daniel B. Szyld, Fei Xue
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues. Math. Comput. 85 (302) (2016)
Michael L. Parks, Kirk M. Soodhalter, Daniel B. Szyld
A block Recycled GMRES method with investigations into aspects of solver performance. CoRR (2016)
Daniel B. Szyld, Eugene Vecharynski, Fei Xue
Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues. SIAM J. Sci. Comput. 37 (6) (2015)
Daniel B. Szyld, Fei Xue
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms. Numerische Mathematik 129 (2) (2015)
Daniel B. Szyld, Fei Xue
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms. Numerische Mathematik 129 (2) (2015)
Lahcen Laayouni, Daniel B. Szyld
On the performance of the algebraic optimized Schwarz methods with applications. Numer. Algorithms 67 (4) (2014)
Daniel B. Szyld, Fei Xue
Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems. Numerische Mathematik 123 (2) (2013)
David Fritzsche, Andreas Frommer, Stephen D. Shank, Daniel B. Szyld
Overlapping Blocks by Growing a Partition with Applications to Preconditioning. SIAM J. Sci. Comput. 35 (1) (2013)
Kirk M. Soodhalter, Daniel B. Szyld, Fei Xue
Krylov Subspace Recycling for Sequences of Shifted Linear Systems CoRR (2013)
Martin J. Gander, Sébastien Loisel, Daniel B. Szyld
An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains. SIAM J. Matrix Anal. Appl. 33 (2) (2012)
Olivier Dubois, Martin J. Gander, Sébastien Loisel, Amik St.-Cyr, Daniel B. Szyld
The Optimized Schwarz Method with a Coarse Grid Correction. SIAM J. Sci. Comput. 34 (1) (2012)
Mark Embree, Josef A. Sifuentes, Kirk M. Soodhalter, Daniel B. Szyld, Fei Xue
Short-Term Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices. SIAM J. Matrix Anal. Appl. 33 (2) (2012)
Daniel B. Szyld, Fei Xue
Efficient Preconditioned Inner Solves For Inexact Rayleigh Quotient Iteration And Their Connections To The Single-Vector Jacobi-Davidson Method. SIAM J. Matrix Anal. Appl. 32 (3) (2011)
Valeria Simoncini, Daniel B. Szyld
Interpreting IDR as a Petrov--Galerkin Method. SIAM J. Sci. Comput. 32 (4) (2010)
Sébastien Loisel, Daniel B. Szyld
On the geometric convergence of optimized Schwarz methods with applications to elliptic problems. Numerische Mathematik 114 (4) (2010)
Daniel B. Szyld
An introduction to iterative Toeplitz solvers. Math. Comput. 78 (266) (2009)
Abed Elhashash, Daniel B. Szyld
Two characterizations of matrices with the Perron-Frobenius property. Numer. Linear Algebra Appl. 16 (11-12) (2009)
Daniel B. Szyld
The matrix eigenvalue problem: GR and Krylov subspace methods. Math. Comput. 78 (268) (2009)
Valeria Simoncini, Daniel B. Szyld
New conditions for non-stagnation of minimal residual methods. Numerische Mathematik 109 (3) (2008)
Andreas Frommer, Reinhard Nabben, Daniel B. Szyld
Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods. SIAM J. Matrix Anal. Appl. 30 (2) (2008)
Xiuhong Du, Daniel B. Szyld
A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES. Numer. Linear Algebra Appl. 15 (6) (2008)
Sébastien Loisel, Reinhard Nabben, Daniel B. Szyld
On Hybrid Multigrid-Schwarz Algorithms. J. Sci. Comput. 36 (2) (2008)
Andreas Frommer, Michael W. Mahoney, Daniel B. Szyld
07071 Abstracts Collection -- Web Information Retrieval and Linear Algebra Algorithms. Web Information Retrieval and Linear Algebra Algorithms (2007)
Andreas Frommer, Michael W. Mahoney, Daniel B. Szyld
07071 Report on Dagstuhl Seminar -- Web Information Retrieval and Linear Algebra Algorithms. Web Information Retrieval and Linear Algebra Algorithms (2007)
Valeria Simoncini, Daniel B. Szyld
Recent computational developments in Krylov subspace methods for linear systems. Numer. Linear Algebra Appl. 14 (1) (2007)
David Fritzsche, Andreas Frommer, Daniel B. Szyld
Extensions of Certain Graph-based Algorithms for Preconditioning. SIAM J. Sci. Comput. 29 (5) (2007)
Daniel B. Szyld
The many proofs of an identity on the norm of oblique projections. Numer. Algorithms 42 (3-4) (2006)
Reinhard Nabben, Daniel B. Szyld
Schwarz Iterations for Symmetric Positive Semidefinite Problems. SIAM J. Matrix Anal. Appl. 29 (1) (2006)
Giorgios Kollias, Efstratios Gallopoulos, Daniel B. Szyld
Asynchronous iterative computations with Web information retrieval structures: The PageRank case CoRR (2006)
Giorgios Kollias, Efstratios Gallopoulos, Daniel B. Szyld
Asynchronous Iterative Computations with Web Information Retrieval Structures: The PageRank Case. PARCO (2005)
Valeria Simoncini, Daniel B. Szyld
The effect of non-optimal bases on the convergence of Krylov subspace methods. Numerische Mathematik 100 (4) (2005)
Valeria Simoncini, Daniel B. Szyld
On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods. SIAM Rev. 47 (2) (2005)
Rafael Bru, Francisco Pedroche, Daniel B. Szyld
Additive Schwarz Iterations for Markov Chains. SIAM J. Matrix Anal. Appl. 27 (2) (2005)
Valeria Simoncini, Daniel B. Szyld
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing. SIAM J. Sci. Comput. 25 (2) (2003)
Reinhard Nabben, Daniel B. Szyld
Convergence Theory of Restricted Multiplicative Schwarz Methods. SIAM J. Numer. Anal. 40 (6) (2002)
Valeria Simoncini, Daniel B. Szyld
Flexible Inner-Outer Krylov Subspace Methods. SIAM J. Numer. Anal. 40 (6) (2002)
Ivo Marek, Daniel B. Szyld
Comparison of Convergence of General Stationary Iterative Methods for Singular Matrices. SIAM J. Matrix Anal. Appl. 24 (1) (2002)
Michele Benzi, Andreas Frommer, Reinhard Nabben, Daniel B. Szyld
Algebraic theory of multiplicative Schwarz methods. Numerische Mathematik 89 (4) (2001)
Andreas Frommer, Daniel B. Szyld
An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms. SIAM J. Numer. Anal. 39 (2) (2001)
Violeta Migallón, José Penadés, Daniel B. Szyld
Nonstationary Multisplittings with General Weighting Matrices. SIAM J. Matrix Anal. Appl. 22 (4) (2001)
Daniel B. Szyld, Judith A. Vogel
FQMR: A Flexible Quasi-Minimal Residual Method with Inexact Preconditioning. SIAM J. Sci. Comput. 23 (2) (2001)
Daniel B. Szyld, Jian-Jun Xu
Convergence of some asynchronous nonlinear multisplitting methods. Numer. Algorithms 25 (1-4) (2000)
Zhong-Zhi Bai, Violeta Migallón, José Penadés, Daniel B. Szyld
Block and asynchronous two-stage methods for mildly nonlinear systems. Numerische Mathematik 82 (1) (1999)
Kostas Blathras, Daniel B. Szyld, Yuan Shi
Timing Models and Local Stopping Criteria for Asynchronous Iterative Algorithms. J. Parallel Distributed Comput. 58 (3) (1999)
Michele Benzi, Daniel B. Szyld, Arno C. N. van Duin
Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems. SIAM J. Sci. Comput. 20 (5) (1999)
Andreas Frommer, Daniel B. Szyld
Weighted max norms, splittings, and overlapping additive Schwarz iterations. Numerische Mathematik 83 (2) (1999)
Violeta Migallón, José Penadés, Daniel B. Szyld
Block Two-stage Methods for Singular Systems and Markov Chains. Numer. Linear Algebra Appl. 3 (5) (1996)
Mark T. Jones, Daniel B. Szyld
Two-stage Multisplitting Methods with Overlapping Blocks. Numer. Linear Algebra Appl. 3 (2) (1996)
Ricardo D. Pantazis, Daniel B. Szyld
Regions of convergence of the Rayleigh quotient iteration method. Numer. Linear Algebra Appl. 2 (3) (1995)
Daniel B. Szyld
Equivalence of conditions for convergence of iterative methods for singular equations. Numer. Linear Algebra Appl. 1 (2) (1994)
Daniel B. Szyld, Mark T. Jones
Two-Stage and Multisplitting Methods for the Parallel Solution of Linear Systems. SIAM J. Matrix Anal. Appl. 13 (2) (1992)
James O'Neil, Daniel B. Szyld
A Block Ordering Method for Sparse Matrices. SIAM J. Sci. Comput. 11 (5) (1990)
Ricardo D. Pantazis, Daniel B. Szyld
A Multiprocessor Method for the Solution of the Generalized Eigenvalue Problem on an Interval. PPSC (1989)
Shing C. Ma, Merrell L. Patrick, Daniel B. Szyld
A Parallel, Hybrid Algorithm for the Genrealized Eigenproblem. PPSC (1987)