Daniel B. Szyld | Academic Influence

Daniel B. Szyld's AcademicInfluence.com Rankings

Daniel B. Szyld

Mathematics

#7487

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#10174

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Linear Algebra

#23

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#29

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Measure Theory

#2686

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#3210

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mathematics Degrees

Daniel B. Szyld

Computer Science

#10682

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#11233

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Numerical Analysis

#53

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#56

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Parallel Computing

#62

World Rank

#64

Historical Rank

computer-science Degrees

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Mathematics
Computer Science

Daniel B. Szyld's Degrees

PhD Mathematics University of Buenos Aires
Masters Mathematics University of Buenos Aires
Bachelors Mathematics University of Buenos Aires

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Why Is Daniel B. Szyld Influential?

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According to Wikipedia, Daniel B. Szyld is an Argentinian and American mathematician who is a professor at Temple University in Philadelphia. He has made contributions to numerical and applied linear algebra as well as matrix theory.

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Daniel B. Szyld's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Recent computational developments in Krylov subspace methods for linear systems (2007) (399)
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing (2003) (267)
H-Splittings and two-stage iterative methods (1992) (238)
An introduction to iterative Toeplitz solvers (2009) (186)
Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems (1999) (169)
Flexible Inner-Outer Krylov Subspace Methods (2002) (142)
On asynchronous iterations (2000) (130)
The many proofs of an identity on the norm of oblique projections (2006) (128)
Asynchronous Iterations (2011) (119)
Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods (1997) (114)
Convergence of nested classical iterative methods for linear systems (1990) (112)
Weighted max norms, splittings, and overlapping additive Schwarz iterations (1999) (110)
PARALLEL, SYNCHRONOUS AND ASYNCHRONOUS TWO-STAGE MULTISPLITTING METHODS (1995) (105)
Comparison theorems for weak splittings of bounded operators (1990) (96)
Asynchronous two-stage iterative methods (1994) (94)
An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms (2001) (92)
Algebraic theory of multiplicative Schwarz methods (2001) (88)
Two-Stage and Multisplitting Methods for the Parallel Solution of Linear Systems (1992) (88)
On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods (2005) (69)
On two numerical methods for the solution of large-scale algebraic Riccati equations (2014) (69)
ASYNCHRONOUS WEIGHTED ADDITIVE SCHWARZ METHODS (1997) (67)
A DYNAMIC INPUT‐OUTPUT MODEL WITH ASSURED POSITIVE OUTPUT(*) (2006) (66)
Krylov Subspace Recycling for Sequences of Shifted Linear Systems (2013) (65)
FQMR: A Flexible Quasi-Minimal Residual Method with Inexact Preconditioning (2001) (61)
A Block Ordering Method for Sparse Matrices (1990) (61)
The Optimized Schwarz Method with a Coarse Grid Correction (2012) (60)
ON GENERAL MATRICES HAVING THE PERRON-FROBENIUS PROPERTY ∗ (2008) (57)
Criteria for Combining Inverse and Rayleigh Quotient Iteration (1988) (55)
Block and asynchronous two-stage methods for mildly nonlinear systems (1999) (54)
Interpreting IDR as a Petrov--Galerkin Method (2010) (53)
Asynchronous optimized Schwarz methods with and without overlap (2017) (50)
Efficient low-rank solution of generalized Lyapunov equations (2016) (48)
Application of threshold partitioning of sparse matrices to Markov chains (1996) (46)
The matrix eigenvalue problem: GR and Krylov subspace methods (2009) (46)
Block Krylov subspace methods for functions of matrices (2018) (44)
Additive Schwarz Iterations for Markov Chains (2005) (41)
Two-stage Multisplitting Methods with Overlapping Blocks (1994) (40)
Timing Models and Local Stopping Criteria for Asynchronous Iterative Algorithms (1999) (39)
Different Models Of Parallel Asynchronous Iterations With Overlapping Blocks (1998) (37)
Subdirect sums of nonsingular M-matrices and of their inverses (2005) (37)
Block Two-stage Methods for Singular Systems and Markov Chains (1996) (37)
Asynchronous Iterative Computations with Web Information Retrieval Structures: The PageRank Case (2006) (36)
Optimal left and right additive Schwarz preconditioning for minimal residual methods with Euclidean and energy norms (2007) (36)
Algebraic Schwarz methods for the numerical solution of Markov chains (2004) (35)
Conditions for the Existence of a Balanced Growth Solution for the Leontief Dynamic Input-Output Model (1985) (35)
Nonstationary parallel relaxed multisplitting methods (1996) (34)
Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems (2013) (32)
Preconditioned Multishift BiCG for ℋ2-Optimal Model Reduction (2017) (31)
Iterative and semi-iterative methods for computing stationary probability vectors of Markov operators (1993) (30)
An SVD approach to identifying metastable states of Markov chains. (2007) (29)
Generalizations of M-matrices which may not have a nonnegative inverse (2008) (28)
INEXACT AND TRUNCATED PARAREAL-INTIME KRYLOV SUBSPACE METHODS FOR PARABOLIC OPTIMAL CONTROL PROBLEMS (2012) (27)
A new look at CMRH and its relation to GMRES (2012) (27)
Convergence Theory of Restricted Multiplicative Schwarz Methods (2002) (27)
Equivalence of conditions for convergence of iterative methods for singular equations (1994) (26)
Nonstationary Multisplittings with General Weighting Matrices (2000) (25)
SUBDIRECT SUMS OF S-STRICTLY DIAGONALLY DOMINANT MATRICES ∗ (2006) (25)
Constraint Preconditioning for the Coupled Stokes-Darcy System (2016) (24)
A block Recycled GMRES method with investigations into aspects of solver performance (2016) (23)
The effect of non-optimal bases on the convergence of Krylov subspace methods (2005) (23)
An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains (2012) (22)
Schwarz Iterations for Symmetric Positive Semidefinite Problems (2006) (22)
Comparison theorems for the convergence factor of iterative methods for singular matrices (2000) (22)
Overlapping additive and multiplicative Schwarz iterations for H -matrices (2004) (21)
Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues (2015) (21)
Multipreconditioned Gmres for Shifted Systems (2016) (21)
Efficient Preconditioned Inner Solves For Inexact Rayleigh Quotient Iteration And Their Connections To The Single-Vector Jacobi-Davidson Method (2011) (21)
Several properties of invariant pairs of nonlinear algebraic eigenvalue problems (2014) (20)
New conditions for non-stagnation of minimal residual methods (2008) (20)
Convergence of Stationary Iterative Methods for Hermitian Semidefinite Linear Systems and Applications to Schwarz Methods (2008) (20)
On the geometric convergence of optimized Schwarz methods with applications to elliptic problems (2010) (19)
The Mystery Of Asynchronous Iterations Convergence When The Spectral Radius Is One (1998) (19)
Asynchronous Iterations with Flexible Commu- nication for Linear Systems (2007) (17)
Local convergence of the (exact and inexact) iterative aggregation method for linear systems and Markov operators (1994) (17)
New Approaches in Economic Analysis (1985) (16)
GMRES with multiple preconditioners (2017) (16)
Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices (2003) (16)
Block Krylov Subspace Methods for Functions of Matrices II: Modified Block FOM (2020) (16)
Scalable Asynchronous Domain Decomposition Solvers (2020) (15)
Regions of convergence of the Rayleigh quotient iteration method (1995) (14)
A sequence of lower bounds for the spectral radius of nonnegatfve matrices (1992) (14)
Additive Schwarz with variable weights (2014) (14)
Comparison of Convergence of General Stationary Iterative Methods for Singular Matrices (2002) (14)
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues (2016) (13)
Convergence of nested iterative methods for linear systems (1991) (12)
Inexact GMRES for singular linear systems (2008) (12)
Dynamic jamming of dense suspensions under tilted impact (2018) (12)
Experimental study of parallel iterative solutions of Markov chains with block partitions (1999) (11)
Extensions of Certain Graph-based Algorithms for Preconditioning (2007) (11)
Two characterizations of matrices with the Perron–Frobenius property (2009) (11)
Nonlinear Schwarz iterations with reduced rank extrapolation (2015) (11)
Application of sparse matrix techniques to inter-regional input-output analysis (1979) (10)
Newton additive and multiplicative Schwarz iterative methods (2007) (10)
MPGMRES : A GENERALIZED MINIMUM RESIDUAL METHOD WITH MULTIPLE PRECONDITIONERS (2012) (10)
Variational Analysis of Some Conjugate Gradient Methods (2015) (9)
The Radau-Lanczos Method for Matrix Functions (2017) (9)
On the convergence of Algebraic Optimizable Schwarz Methods with applications to elliptic problems (2007) (9)
Domain Overlap for Iterative Sparse Triangular Solves on GPUs (2016) (9)
Convergence of some asynchronous nonlinear multisplitting methods (2000) (9)
ON AN SVD-BASED ALGORITHM FOR IDENTIFYING META-STABLE STATES OF MARKOV CHAINS (2011) (9)
Convergence of Asynchronous Optimized Schwarz Methods in the Plane (2017) (8)
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms (2015) (8)
An Algebraic Convergence Theory for Restricted Additive and Multiplicative Schwarz Methods (2001) (8)
Optimized Schwarz Method for Poisson’s Equation in Rectangular Domains (2017) (8)
On the Superlinear Convergence of MINRES (2013) (8)
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms (2015) (8)
Synchronous and asynchronous optimized Schwarz methods for one‐way subdivision of bounded domains (2019) (7)
A Parallel, Hybrid Algorithm for the Genrealized Eigenproblem (1987) (7)
LOCAL CONVERGENCE OF (EXACT AND INEXACT) ITERATIVE AGGREGATION (1993) (7)
Synchronous and asynchronous optimized Schwarz methods for Poisson's equation in rectangular domains (2022) (7)
Short-Term Recurrence Krylov Subspace Methods for Nearly Hermitian Matrices (2012) (7)
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh (2018) (7)
On the Convergence of Optimized Schwarz Methods by way of Matrix Analysis (2009) (7)
Perspectives on asynchronous computations for fluid flow problems (2001) (7)
Relaxed Krylov subspace approximation (2005) (7)
Positive solutions for the Leontief dynamic input—output model (1988) (6)
Applications of conjugate gradient type methods to eigenvalue calcuations (1979) (6)
Overlapping Blocks by Growing a Partition with Applications to Preconditioning (2013) (6)
On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs (2021) (5)
Nearly positive matrices (2014) (5)
BLOCK KRYLOV SUBSPACE METHODS FOR COMPUTING FUNCTIONS OF MATRICES APPLIED TO MULTIPLE VECTORS (2017) (5)
75 Years of Mathematics of Computation (2020) (5)
Perron-Frobenius Properties of General Matrices (2007) (5)
MULTI-PRECONDITIONED GMRES (2011) (4)
Asynchronous optimized Schwarz methods with and without overlap (2017) (4)
On the Superlinear Convergence of Exact and Inexact Krylov Subspace Methods (2003) (4)
On necessary conditions for convergence of stationary iterative methods for Hermitian semidefinite linear systems (2014) (4)
Pseudoirreducible and pseudoprimitive bounded operators (1991) (4)
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblemsa (2012) (4)
Varying Iteration Accuracy Using Inexact Conjugate Gradients in Control Problems governed by PDE’s (2008) (4)
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms (2014) (4)
Adaptive Multilevel Krylov Methods (2019) (4)
A Multiprocessor Method for the Solution of the Generalized Eigenvalue Problem on an Interval (1989) (4)
Matrix functions preserving sets of generalized nonnegative matrices (2010) (3)
Varying Iteration Accuracy Using Inexact Conjugate Gradients in Control Problems Governed by Partial Differential Equations (2013) (3)
PATHS OF MATRICES WITH THE STRONG PERRON-FROBENIUS PROPERTY CONVERGING TO A GIVEN MATRIX WITH THE PERRON-FROBENIUS PROPERTY ∗ (2009) (3)
Algebraic Analysis of Schwarz Methods for Singular Systems (2005) (3)
Subdirect sums of -strictly diagonally dominant matrices. (2006) (2)
Metabolic Networks, Elementary Flux Modes, and Polyhedral Cones (2021) (2)
ON NECESSARY CONDITIONS FOR CONVERGENCE OF STATIONARY ITERATIVE METHODS FOR HERMITIAN DEFINITE AND SEMIDEFINITE LINEAR SYSTEMS (2013) (2)
A Proposal for a Dynamically Adapted Inexact Additive Schwarz Preconditioner (2007) (2)
A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES (2008) (2)
A Maximum Principle for L 2 -Trace Norms with an Application to Optimized Schwarz Methods (2009) (2)
ON THE NUMERICAL SOLUTION OF LARGE-SCALE RICCATI EQUATIONS (2012) (2)
Asynchronous Richardson iterations: theory and practice (2020) (2)
Parallel Processing of Linear Systems Using Asynchronous Iterative Algorithms (2007) (2)
Preliminary results in implementing a model of the world economy on the CYBER 205: A case of large sparse nonsymmetric linear equations (1984) (2)
Diffusion on a Tensor Product Graph for Semi-Supervised Learning and Interactive Image Segmentation (2011) (2)
On the field of values of oblique projections (2010) (2)
Block GCRO-DR: A version of the recycled GMRES method using block Krylov subspaces and harmonic Ritz vectors (2016) (1)
Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems (2012) (1)
Threshold partitioning of sparse matrices and applications to Markov chains (1996) (1)
On the performance of the algebraic optimized Schwarz methods with applications (2014) (1)
A Computational Framework for the Swelling Dynamics of Mucin-Like Polyelectrolyte Gels (2023) (1)
Asynchronous domain decomposition methods for nonlinear PDEs (2022) (1)
Optimal size of the block in block GMRES on GPUs: computational model and experiments (2022) (1)
Bilateral representation of trade for inter- regional models (1984) (1)
The spectral analysis of the matrix multisplitting method for the one-dimensional model problem☆ (1998) (1)
EditionLocal convergence of the ( exact and inexact ) iterative aggregation method for linear systemsand (1994) (1)
A posteriori superlinear convergence bounds for block conjugate gradient (2021) (1)
07071 Abstracts Collection -- Web Information Retrieval and Linear Algebra Algorithms (2007) (0)
Analytical and Experimental Results for Inexact Methods for Linear and Nonlinear Eigenvalue Problems (2011) (0)
Theoretical and Computational Aspects of Matrix Algorithms (Dagstuhl Seminar 03421) (2021) (0)
A STUDY OF DIFFERENT ORDERINGS FOR INCOMPLETE FACTORIZATION PRECONDITIONING OF NONSYMMETRIC LINEAR SYSTEMS (1998) (0)
Preconditioned Chebyshev BiCG for parameterized linear systems (2022) (0)
Comparisontheoremsfor theconvergencefactor of iterativemethodsfor singularmatrices (1999) (0)
Numerical solution of singular semi-stable Lyapunov equations (2016) (0)
THRESHOLD PARTITIONING OF SPARSE MATRICES ANDAPPLICATIONS TO MARKOV (0)
Threshold Ordering for (1997) (0)
On optimal coarse space correction for Restricted and Optimized Additive Schwarz Method (2020) (0)
Asynchronous iterative methods for the effective computation of PageRank (2005) (0)
NORTH- I-IOLIAND Nonstationary Parallel Relaxed Multisplitting Methods (1996) (0)
A domain decomposition method for solution of a PDE-constrained generalized Nash equilibrium model of bioﬁlm community metabolism (2022) (0)
Preprint Bughw-sc 99/4 Bergische Universitt at Gh Wuppertal Fachbereich Mathematik on Asynchronous Iterations on Asynchronous Iterations (1999) (0)
PLASMA View project Performance API ( PAPI ) View project (2016) (0)
EQUIVALENCE OF CONDITIONS FOR CONVERGENCE OF ITERATIVE METHODS FOR SINGULAR LINEAR SYSTEMS (2006) (0)
Schwarz Preconditioners for Krylov Methods : Theory and Practice PI : (2013) (0)
Chapter 1 On the Superlinear Convergence of MINRES ⋆ (2012) (0)
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms (2014) (0)
A Two-Level Restricted Additive Schwarz Method For Asynchronous Computations (2022) (0)
Letter to the editor (1993) (0)
On the performance of the algebraic optimized Schwarz methods with applications (2014) (0)
INPUT-OUTPUT MODEL' (1985) (0)
On mesh independence of Convergence Bounds for Additive Schwarz Preconditioned GMRES (2007) (0)
Numerical solution of singular Lyapunov equations (2021) (0)
On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations (2022) (0)
Matrices with Perron-Frobenius Properties (2012) (0)
Scharz Preconditioners for Krylov Methods: Theory and Practice (2013) (0)
Book Review: An introduction to iterative Toeplitz solvers (2008) (0)
Web Information Retrieval and Linear Algebra Algorithms, 11.02. - 16.02.2007 (2007) (0)
Domain Decomposition for Nonsymmetric and Indefinite Linear Systems (2007) (0)
Final Report (2021) (0)
Asynchronous Optimized Schwarz Methods (2015) (0)
MINISYMPOSIUM 6: Schwarz Preconditioners and Accelerators (2007) (0)
07071 Report on Dagstuhl Seminar -- Web Information Retrieval and Linear Algebra Algorithms (2007) (0)
Efficient preconditioned inner solves for inexact (2011) (0)
A new look at CMRH and its relation to GMRES (2011) (0)
Asynchronous Richardson iterations (2020) (0)
NONSTATIONARY MULTISPLITTINGS WITH GENERAL (2001) (0)
Orderings for ILU Preconditioning of Nonsymmetric ProblemsMichele Benzi (1998) (0)
Efficient low-rank solution of generalized Lyapunov equations (2015) (0)
A projection cutting plane algorithm for convex programming problems (1996) (0)
GMRES with multiple preconditioners (2016) (0)

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