+
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New Convergence Analysis of GMRES with Weighted Norms, Preconditioning, and Deflation, Leading to a New Deflation Space
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2024
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Nicole Spillane
Daniel B. Szyld
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+
PDF
Chat
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Two-Stage Block Orthogonalization to Improve Performance of s-step GMRES
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2024
|
Ichitaro Yamazaki
Andrew J. Higgins
Erik G. Boman
Daniel B. Szyld
|
+
PDF
Chat
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Two-Stage Block Orthogonalization to Improve Performance of $s$-step
GMRES
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2024
|
Ichitaro Yamazaki
Andrew J. Higgins
Erik G. Boman
Daniel B. Szyld
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+
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Numerical solution of singular Sylvester equations
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2023
|
Eric Kingâwah Chu
Liangshao Hou
Daniel B. Szyld
Jieyong Zhou
|
+
PDF
Chat
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A computational framework for the swelling dynamics of mucin-like polyelectrolyte gels
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2023
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Jian Du
Bindi M. Nagda
Owen Lewis
Daniel B. Szyld
Aaron L. Fogelson
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+
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Analysis of Randomized Householder-Cholesky QR Factorization with Multisketching
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2023
|
Andrew J. Higgins
Daniel B. Szyld
Erik G. Boman
Ichitaro Yamazaki
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+
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New Convergence Analysis of GMRES with Weighted Norms, Preconditioning and Deflation, Leading to a New Deflation Space *
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2023
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Nicole Spillane
Daniel B. Szyld
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+
PDF
Chat
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On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations
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2022
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Andreas Frommer
Daniel B. Szyld
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+
PDF
Chat
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On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs
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2022
|
Candan GĂŒdĂŒcĂŒ
Jörg Liesen
Volker Mehrmann
Daniel B. Szyld
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PDF
Chat
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A posteriori superlinear convergence bounds for block conjugate gradient
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2022
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Christian E. Schaerer
Daniel B. Szyld
Pedro J. Torres
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+
PDF
Chat
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Synchronous and asynchronous optimized Schwarz methods for Poisson's equation in rectangular domains
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2022
|
José C. Garay
Frédéric MagoulÚs
Daniel B. Szyld
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+
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On the Convergence of Randomized and Greedy Relaxation Schemes for Solving Nonsingular Linear Systems of Equations
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2022
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Andreas Frommer
Daniel B. Szyld
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+
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Preconditioned Chebyshev BiCG for parameterized linear systems
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2022
|
SiobhĂĄn Correnty
Elias Jarlebring
Daniel B. Szyld
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+
PDF
Chat
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Asynchronous domain decomposition methods for nonlinear PDEs
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2022
|
Fayçal Chaouqui
Edmond Chow
Daniel B. Szyld
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+
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SParse Approximate Inverse (SPAI) Based Transmission Conditions for Optimized Algebraic Schwarz Methods
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2022
|
Martin J. Gander
Lahcen Laayouni
Daniel B. Szyld
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+
PDF
Chat
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Numerical solution of singular Lyapunov equations
|
2021
|
Eric Kingâwah Chu
Daniel B. Szyld
Jieyong Zhou
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+
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On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs
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2021
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Candan GĂŒdĂŒcĂŒ
Jörg Liesen
Volker Mehrmann
Daniel B. Szyld
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+
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Appendix A: A Brief Review of Relevant Linear Algebra
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2021
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Isaac Klapper
Daniel B. Szyld
Kai Zhao
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+
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A posteriori superlinear convergence bounds for block conjugate gradient
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2021
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Christian E. Schaerer
Daniel B. Szyld
Pedro J. Torres
|
+
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Asynchronous Richardson iterations: theory and practice
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2020
|
Edmond Chow
Andreas Frommer
Daniel B. Szyld
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+
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Asynchronous Richardson iterations
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2020
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Edmond Chow
Andreas Frommer
Daniel B. Szyld
|
+
PDF
Chat
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Dynamic jamming of dense suspensions under tilted impact
|
2019
|
Endao Han
Liang Zhao
Nigel Van Ha
S. Tonia Hsieh
Daniel B. Szyld
Heinrich M. Jaeger
|
+
PDF
Chat
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Block Krylov subspace methods for functions of matrices
|
2018
|
Andreas Frommer
Kathryn Lund
Daniel B. Szyld
|
+
PDF
Chat
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Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh
|
2018
|
Carlos EcheverrĂa
Jörg Liesen
Daniel B. Szyld
Petr TichĂœ
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+
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Dynamic jamming of dense suspensions under tilted impact
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2018
|
Endao Han
Liang Zhao
Nigel Van Ha
S. Tonia Hsieh
Daniel B. Szyld
Heinrich M. Jaeger
|
+
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Convergence of Asynchronous Optimized Schwarz Methods in the Plane
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2018
|
José C. Garay
Frédéric MagoulÚs
Daniel B. Szyld
|
+
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Asynchronous optimized Schwarz methods with and without overlap
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2017
|
Frédéric MagoulÚs
Daniel B. Szyld
CĂ©dric Venet
|
+
PDF
Chat
|
The Radau--Lanczos Method for Matrix Functions
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2017
|
Andreas Frommer
Kathryn Lund
Marcel Schweitzer
Daniel B. Szyld
|
+
PDF
Chat
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Multipreconditioned Gmres for Shifted Systems
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2017
|
Tania Bakhos
Peter K. Kitanidis
Scott Ladenheim
Arvind K. Saibaba
Daniel B. Szyld
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+
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Multipreconditioned GMRES for Shifted Systems
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2016
|
Tania Bakhos
Peter K. Kitanidis
Scott Ladenheim
Arvind K. Saibaba
Daniel B. Szyld
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+
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A block Recycled GMRES method with investigations into aspects of solver performance
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2016
|
Michael L. Parks
Kirk M. Soodhalter
Daniel B. Szyld
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+
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Domain Overlap for Iterative Sparse Triangular Solves on GPUs
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2016
|
Hartwig Anzt
Edmond Chow
Daniel B. Szyld
Jack Dongarra
|
+
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Multipreconditioned GMRES for Shifted Systems
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2016
|
Tania Bakhos
Peter K. Kitanidis
Scott Ladenheim
Arvind K. Saibaba
Daniel B. Szyld
|
+
PDF
Chat
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Nonlinear Schwarz iterations with reduced rank extrapolation
|
2015
|
SĂ©bastien Duminil
H. Sadok
Daniel B. Szyld
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+
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Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. II. Interior eigenvalues
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2015
|
Daniel B. Szyld
Eugene Vecharynski
Fei Xue
|
+
PDF
Chat
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Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues
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2015
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Daniel B. Szyld
Eugene Vecharynski
Fei Xue
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+
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Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms
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2014
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Daniel B. Szyld
Fei Xue
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+
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Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms
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2014
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Daniel B. Szyld
Fei Xue
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+
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On necessary conditions for convergence of stationary iterative methods for Hermitian semidefinite linear systems
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2014
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Andreas Frommer
Daniel B. Szyld
|
+
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Nearly positive matrices
|
2014
|
Bryan L. Shader
Naomi Shaked-Monderer
Daniel B. Szyld
|
+
PDF
Chat
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Krylov subspace recycling for sequences of shifted linear systems
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2014
|
Kirk M. Soodhalter
Daniel B. Szyld
Fei Xue
|
+
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Several properties of invariant pairs of nonlinear algebraic eigenvalue problems
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2013
|
Daniel B. Szyld
Fei Xue
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+
PDF
Chat
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On two numerical methods for the solution of large-scale algebraic Riccati equations
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2013
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Valeria Simoncini
Daniel B. Szyld
Marlliny Monsalve
|
+
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Scharz Preconditioners for Krylov Methods: Theory and Practice
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2013
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Daniel B. Szyld
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+
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Varying Iteration Accuracy Using Inexact Conjugate Gradients in Control Problems Governed by Partial Differential Equations
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2013
|
Xiuhong Du
Eldad Haber
Maria Karampataki
Daniel B. Szyld
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+
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Overlapping Blocks by Growing a Partition with Applications to Preconditioning
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2013
|
David Fritzsche
Andreas Frommer
Stephen D. Shank
Daniel B. Szyld
|
+
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ON NECESSARY CONDITIONS FOR CONVERGENCE OF STATIONARY ITERATIVE METHODS FOR HERMITIAN DEFINITE AND SEMIDEFINITE LINEAR SYSTEMS
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2013
|
Andreas Frommer
Daniel B. Szyld
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+
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On the Superlinear Convergence of MINRES
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2012
|
Valeria Simoncini
Daniel B. Szyld
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+
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Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems
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2012
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Daniel B. Szyld
Fei Xue
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+
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Matrices with Perron-Frobenius Properties
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2012
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Daniel B. Szyld
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+
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A new look at CMRH and its relation to GMRES
|
2011
|
H. Sadok
Daniel B. Szyld
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+
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Variational Analysis of Some Conjugate Gradient Methods
|
2011
|
Olof B. Widlund
Daniel B. Szyld
|
+
PDF
Chat
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On the field of values of oblique projections
|
2010
|
Valeria Simoncini
Daniel B. Szyld
|
+
PDF
Chat
|
Matrix functions preserving sets of generalized nonnegative matrices
|
2010
|
Abed Elhashash
Daniel B. Szyld
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+
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On the geometric convergence of optimized Schwarz methods with applications to elliptic problems
|
2009
|
SĂ©bastien Loisel
Daniel B. Szyld
|
+
PDF
Chat
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Two characterizations of matrices with the PerronâFrobenius property
|
2009
|
Abed Elhashash
Daniel B. Szyld
|
+
PDF
Chat
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Paths of matrices with the strong Perron-Frobenius property converging to a given matrix with the Perron-Frobenius property
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2009
|
Abed Elhashash
Uriel G. Rothblum
Daniel B. Szyld
|
+
PDF
Chat
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Book Review: An introduction to iterative Toeplitz solvers
|
2008
|
Daniel B. Szyld
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+
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A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES
|
2008
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Xiuhong Du
Daniel B. Szyld
|
+
PDF
Chat
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Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods
|
2008
|
Andreas Frommer
Reinhard Nabben
Daniel B. Szyld
|
+
PDF
Chat
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On general matrices having the Perron-Frobenius Property
|
2008
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Abed Elhashash
Daniel B. Szyld
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+
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A Proposal for a Dynamically Adapted Inexact Additive Schwarz Preconditioner
|
2007
|
Marcus Sarkis
Daniel B. Szyld
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+
PDF
Chat
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Newton additive and multiplicative Schwarz iterative methods
|
2007
|
Josep Arnal
V. Migallon
Jose Penadés
Daniel B. Szyld
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+
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On the convergence of Algebraic Optimizable Schwarz Methods with applications to elliptic problems
|
2007
|
SĂ©bastien Loisel
Daniel B. Szyld
|
+
PDF
Chat
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Schwarz Iterations for Symmetric Positive Semidefinite Problems
|
2006
|
Reinhard Nabben
Daniel B. Szyld
|
+
PDF
Chat
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The many proofs of an identity on the norm of oblique projections
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2006
|
Daniel B. Szyld
|
+
PDF
Chat
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Recent computational developments in Krylov subspace methods for linear systems
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2006
|
Valeria Simoncini
Daniel B. Szyld
|
+
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Asynchronous iterative computations with Web information retrieval structures: The PageRank case
|
2006
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Giorgios Kollias
Efstratios Gallopoulos
Daniel B. Szyld
|
+
PDF
Chat
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Subdirect sums of S-strictly diagonally dominant matrices
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2006
|
Rafael Bru
Francisco Pedroche
Daniel B. Szyld
|
+
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Subdirect sums of -strictly diagonally dominant matrices.
|
2006
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Rafael Bru
Francisco Pedroche
Daniel B. Szyld
|
+
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Asynchronous iterative computations with Web information retrieval structures: The PageRank case
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2006
|
Giorgos Kollias
Efstratios Gallopoulos
Daniel B. Szyld
|
+
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Algebraic Analysis of Schwarz Methods for Singular Systems
|
2005
|
Ivo Marek
Daniel B. Szyld
|
+
PDF
Chat
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Additive Schwarz Iterations for Markov Chains
|
2005
|
Rafael Bru
Francisco Pedroche
Daniel B. Szyld
|
+
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ADDENDUM TO: ALGEBRAIC SCHWARZ METHODS FOR THE NUMERICAL SOLUTION OF MARKOV CHAINS
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2005
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Ivo Marek
Daniel B. Szyld
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+
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On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov
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2005
|
Valeria Simoncini
Daniel B. Szyld
|
+
PDF
Chat
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Subdirect sums of nonsingular M-matrices and of their inverses
|
2005
|
Rafael Bru
Francisco Pedroche
Daniel B. Szyld
|
+
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Overlapping additive and multiplicative Schwarz iterations for H-matrices
|
2004
|
Rafael Bru
Francisco Pedroche
Daniel B. Szyld
|
+
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Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices
|
2003
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L. Elsner
Andreas Frommer
Reinhard Nabben
Hans Schneider
Daniel B. Szyld
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+
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Application of threshold partitioning of sparse matrices to Markov chains
|
2002
|
HyeungâSik Choi
Daniel B. Szyld
|
+
PDF
Chat
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Convergence Theory of Restricted Multiplicative Schwarz Methods
|
2002
|
Reinhard Nabben
Daniel B. Szyld
|
+
PDF
Chat
|
Comparison of Convergence of General Stationary Iterative Methods for Singular Matrices
|
2002
|
Ivo Marek
Daniel B. Szyld
|
+
PDF
Chat
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Algebraic theory of multiplicative Schwarz methods
|
2001
|
Michele Benzi
Andreas Frommer
Reinhard Nabben
Daniel B. Szyld
|
+
PDF
Chat
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Nonstationary Multisplittings with General Weighting Matrices
|
2001
|
Violeta MigallĂłn
Jose Penadés
Daniel B. Szyld
|
+
PDF
Chat
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FQMR: A Flexible Quasi-Minimal Residual Method with Inexact Preconditioning
|
2001
|
Daniel B. Szyld
Judith A. Vogel
|
+
PDF
Chat
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An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms
|
2001
|
Andreas Frommer
Daniel B. Szyld
|
+
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NONSTATIONARY MULTISPLITTINGS WITH GENERAL
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2001
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Weighting Matrices
Penad
Daniel B. Szyld
|
+
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On asynchronous iterations
|
2000
|
Andreas Frommer
Daniel B. Szyld
|
+
PDF
Chat
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Comparison theorems for the convergence factor of iterative methods for singular matrices
|
2000
|
Ivo Marek
Daniel B. Szyld
|
+
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None
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2000
|
Daniel B. Szyld
Jianjun Xu
|
+
PDF
Chat
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Weighted max norms, splittings, and overlapping additive Schwarz iterations
|
1999
|
Andreas Frommer
Daniel B. Szyld
|
+
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Block and asynchronous two-stage methods for mildly nonlinear systems
|
1999
|
ZhongâZhi Bai
Violeta MigallĂłn
Jose Penadés
Daniel B. Szyld
|
+
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Experimental study of parallel iterative solutions of Markov chains with block partitions
|
1999
|
Violeta MigallĂłn
Jose Penadés
Daniel B. Szyld
|
+
PDF
Chat
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Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems
|
1999
|
Michele Benzi
Daniel B. Szyld
Arno van Duin
|
+
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The spectral analysis of the matrix multisplitting method for the one-dimensional model problem
|
1998
|
ZhongâZhi Bai
Jiachang Sun
Daniel B. Szyld
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+
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Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
|
1997
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Michele Benzi
Daniel B. Szyld
|
+
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ASYNCHRONOUS WEIGHTED ADDITIVE SCHWARZ METHODS
|
1997
|
Andreas Frommer
Hartmut Schwandt
Daniel B. Szyld
Fachbereich Mathematik
|
+
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Threshold partitioning of sparse matrices and applications to Markov chains
|
1996
|
Hwajeong Choi
Daniel B. Szyld
|
+
PDF
Chat
|
Block Two-stage Methods for Singular Systems and Markov Chains
|
1996
|
Violeta MigallĂłn
Jose Penadés
Daniel B. Szyld
|
+
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Nonstationary parallel relaxed multisplitting methods
|
1996
|
J. Mas
Violeta Migall 'on
Jose Penadés
Daniel B. Szyld
|
+
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Two-stage Multisplitting Methods with Overlapping Blocks
|
1996
|
Mark T. Jones
Daniel B. Szyld
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+
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A projection cutting plane algorithm for convex programming problems
|
1996
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M. E. Primak
Daniel B. Szyld
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+
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Regions of convergence of the Rayleigh quotient iteration method
|
1995
|
Ricardo D. Pantazis
Daniel B. Szyld
|
+
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PARALLEL, SYNCHRONOUS AND ASYNCHRONOUS TWO-STAGE MULTISPLITTING METHODS
|
1995
|
Rafael Bru
Violeta MigallĂłn
Jose Penadés
Daniel B. Szyld
|
+
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Asynchronous two-stage iterative methods
|
1994
|
Andreas Frommer
Daniel B. Szyld
|
+
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Local convergence of the (exact and inexact) iterative aggregation method for linear systems and Markov operators
|
1994
|
Ivo Marek
Daniel B. Szyld
|
+
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Equivalence of conditions for convergence of iterative methods for singular equations
|
1994
|
Daniel B. Szyld
|
+
PDF
Chat
|
Iterative and semi-iterative methods for computing stationary probability vectors of Markov operators
|
1993
|
Ivo Marek
Daniel B. Szyld
|
+
|
H-Splittings and two-stage iterative methods
|
1992
|
Andreas Frommer
Daniel B. Szyld
|
+
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A sequence of lower bounds for the spectral radius of nonnegatfve matrices
|
1992
|
Daniel B. Szyld
|
+
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A sequence of lower bounds for the spectral radius of nonnegative matrices
|
1992
|
Daniel B. Szyld
|
+
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Two-Stage and Multisplitting Methods for the Parallel Solution of Linear Systems
|
1992
|
Daniel B. Szyld
Mark T. Jones
|
+
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Pseudoirreducible and pseudoprimitive bounded operators
|
1991
|
Ivo Marek
Daniel B. Szyld
|
+
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Convergence of nested classical iterative methods for linear systems
|
1990
|
P.J. Lanzkron
Donald J. Rose
Daniel B. Szyld
|
+
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Comparison theorems for weak splittings of bounded operators
|
1990
|
Ivo Marek
Daniel B. Szyld
|
+
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A Block Ordering Method for Sparse Matrices
|
1990
|
James P. OâNeil
Daniel B. Szyld
|
+
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Splittings of<i>M</i>-operators: Irreducibility and the index of the iteration operator
|
1990
|
Ivo Marek
Daniel B. Szyld
|
+
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A Block Ordering Method for Sparse Matrices.
|
1990
|
James O''Neil
Daniel B. Szyld
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+
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Criteria for Combining Inverse and Rayleigh Quotient Iteration
|
1988
|
Daniel B. Szyld
|