Bibtex entries of Daniel B. Szyld
@INPROCEEDINGS{Szyld.Widlund.79,
author = {Daniel B. Szyld and Olof B. Widlund},
title = {Applications of Conjugate Gradient Type Methods to
Eigenvalue Calculations},
pages = {167-173},
year = 1979,
booktitle = {Advances in Computer Methods for Partial
Differential Equations {III}},
editor = {R.Vichnevetsky and R.S. Stepleman},
publisher = {IMACS}
}
@ARTICLE{Duchin.Szyld.79,
author = {Faye Duchin and Daniel B. Szyld},
title = {Application of Sparse Matrix Techniques to Inter-Regional
Input-Output Analysis},
journal = {Economics of Planning},
volume = 15,
year = 1979,
pages = {142-167}
}
@INPROCEEDINGS{Szyld.81,
author = {Daniel B. Szyld},
title = {Using Sparse Matrix Techniques to Solve a Model of the World Economy},
pages = {357-365},
year = 1981,
booktitle = {Sparse Matrices and their Uses},
editor = {Iain S. Duff},
publisher = {Academic Press},
address = {London and New York}
}
@ARTICLE{Szyld.82,
author = {Daniel B. Szyld},
title = {Un Algoritmo Para Obtener una Submatriz y/o Permutaciones
de una Matriz Esparcida ({A}n Algorithm to Obtain a
Submatrix and/or Permutations of a Sparse Matrix)},
journal = {SIGMA, Revista de Matem{\'a}ticas Aplicadas},
volume = 8,
year = 1982,
pages = {133-144},
note = {In Spanish}
}
@PHDTHESIS{Szyld.Thesis.83,
author = {Daniel B. Szyld},
title = {A Two-level Iterative Method for Large Sparse Generalized
Eigenvalue Calculations},
school = {Department of Mathematics, Courant Institute of
Mathematical Sciences, New York University},
year = 1983,
month = OCT
}
@ARTICLE{Szyld.84,
author = {Daniel B. Szyld},
title = {Bilateral Representation of Trade for Inter-Regional Models},
journal = {Applied Mathematical Modelling},
volume = 8,
year = 1984,
pages = {50-52}
}
@INPROCEEDINGS{Szyld.Proc.84,
author = {Daniel B. Szyld},
title = {Preliminary Results in Implementing a Model of the World
Economy on the {C}yber 205: A Case of Large Sparse
Nonsymmetric Linear Equations},
booktitle = {Cyber 200 Applications Seminar},
year = 1984,
month = MAR,
publisher = {NASA Conference Publication 2295}
}
@ARTICLE{Leontief.Duchin.Szyld.85,
author = {Wassily Leontief and Faye Duchin and Daniel B. Szyld},
title = {New Approaches in Economic Analysis},
journal = {Science},
volume = 228,
year = 1985,
pages = {419-422}
}
@ARTICLE{Duchin.Szyld.85,
author = {Faye Duchin and Daniel B. Szyld},
title = {A Dynamic Input-Output Model with Assured Positive Output},
journal = {Metroeconomica},
volume = 37,
year = 1985,
pages = {269-282}
}
@ARTICLE{Szyld.85,
author = {Daniel B. Szyld},
title = {Conditions for the Existence of a Balanced Growth Solution
for the {L}eontief Dynamic Input-Output Model},
journal = {Econometrica},
volume = 53,
year = 1985,
pages = {1411-1419}
}
@INPROCEEDINGS{Dickstein.Rodrigues.Szyld.86,
author = {Fl{\'a}vio Dickstein and J. Roberto P. Rodrigues and
Daniel B. Szyld},
title = {Ordenamentos para M{\'e}todos Directos em
Simula{\c{c}}{\~a}o de Reservat{\'o}rios Petrol{\'i}feros
({O}rderings for Direct Methods in Oil Reservoir Simulation)},
booktitle = {Proceedings of the First National Meeting on Thermal Sciences},
address = {Rio de Janeiro, Brazil},
year = 1986,
month = DEC,
pages = {183-186},
note = {In Portuguese}
}
@INPROCEEDINGS{Szyld.Proc.85,
author = {Daniel B. Szyld},
title = {Combining Inverse and {R}ayleigh Quotient Iteration to
Solve {$Ax=\lambda Bx$}},
booktitle = {Innovative Numerical Methods in Engineering},
editor = {R. Shaw and J. Periaux and A. Chaudouet and J. Wu and
C. Marino and C. Brebbia},
publisher = {Springer Verlag},
address = {Berlin},
year = 1986,
pages = {109-114}
}
@INPROCEEDINGS{Szyld.Moledo.Sauber.88,
author = {Daniel B. Szyld and Leonardo Moledo and Beatriz Sauber},
title = { Positive Solutions for the {L}eontief Dynamic Input-Output Model},
booktitle = {Input Output Analysis: Current Developments},
editor = {M. Ciaschini},
publisher = {Chapman {and} Hall},
address = {London},
year = 1988,
pages = {91-97}
}
@ARTICLE{Szyld.88,
author = {Daniel B. Szyld},
title = {Criteria for combining inverse and {R}ayleigh quotient iteration},
journal = {SIAM Journal on Numerical Analysis},
year = 1988,
volume = 25,
pages = {1369-1375}
}
@TECHREPORT{Ma.Patrick.Szyld.88,
author = {Shing C. Ma and Merrell L. Patrick and Daniel B. Szyld},
title = {A Parallel, Hybrid Algorithm for Small Bandwidth Generalized
Eigenproblems},
institution = {Department of Computer Science, Duke University},
number = {CS-1988-28},
year = 1988,
month = NOV
}
@INPROCEEDINGS{Ma.Patrick.Szyld.89,
author = {Shing C. Ma and Merrell L. Patrick and Daniel B. Szyld},
title = {A Parallel, Hybrid Algorithm for the Generalized Eigenproblem},
booktitle = {Parallel Processing for Scientific Computing},
editor = {Gary Rodrigue},
publisher = {{SIAM}},
address = {Philadelphia},
year = 1989,
pages = {82-86}
}
@ARTICLE{Oneil.Szyld.90,
author = {James O'Neil and Daniel B. Szyld},
title = {A Block Ordering Method for Sparse Matrices},
year = 1990,
pages = {811-823},
volume = 11,
journal = {SIAM Journal on Scientific and Statistical Computing}
}
@INPROCEEDINGS{Pantazis.Szyld.90,
author = {Ricardo D. Pantazis and Daniel B. Szyld},
title = {A multiprocessor method for the solution of the generalized
eigenvalue problem on an interval},
publisher = {SIAM},
editor = {Jack J. Dongarra and Paul Messina and Danny G. Sorensen
and Robert G. Voigt},
booktitle = {Parallel Processing for Scientific Computing,
Proceedings of the {F}ourth {SIAM} Conference},
address = {Philadelphia},
year = 1990,
pages = {36-41}
}
@ARTICLE{Marek.Szyld.90,
author = {Ivo Marek and Daniel B. Szyld},
title = {Comparison Theorems for Weak Splittings of Bounded Operators},
journal = {Numerische Mathematik},
year = 1990,
volume = 58,
pages = {387-397}
}
@ARTICLE{Marek.Szyld.90a,
author = {Ivo Marek and Daniel B. Szyld},
title = {Splittings of {$M$}-Operators: Irreducibility and the Index
of the Iteration Operator},
journal = {Numerical Functional Analysis and Optimization},
volume = 11,
year = 1990,
pages = {529-553}
}
@ARTICLE{Marek.Szyld.91,
author = {Ivo Marek and Daniel B. Szyld},
title = {Pseudo-irreducible and Pseudo-primitive Bounded Operators},
year = 1991,
journal = {Linear Algebra and its Applications},
volume = {154--156},
pages = {779--792}
}
@TECHREPORT{Marek.Szyld.91b,
author = {Ivo Marek and Daniel B. Szyld},
title = {Iterative Aggregation with Inexact Correction},
institution = {Department of Mathematics, Temple University},
address = {Philadelphia},
number = {91-52},
month = {May},
year = 1991
}
@ARTICLE{Lanzkron.Rose.Szyld.91,
author = {Paul J. Lanzkron and Donald J. Rose and Daniel B. Szyld},
title = {Convergence of Nested Classical Iterative Methods for Linear Systems},
journal = {Numerische Mathematik},
year = 1991,
volume = 58,
pages = {685-702}
}
@ARTICLE{Szyld.Jones.92,
author = {Daniel B. Szyld and Mark T. Jones},
title = {Two-stage and Multisplitting Methods for the
Parallel Solution of Linear Systems},
year = 1992,
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = 13,
pages = {671--679}
}
@ARTICLE{Szyld.92,
author = {Daniel B. Szyld},
title = {A Sequence of Lower Bounds for the Spectral Radius of
Nonnegative Matrices},
year = 1992,
volume = 174,
pages = {239-242},
journal = {Linear Algebra and its Applications}
}
@ARTICLE{Frommer.Szyld.92,
author = {Andreas Frommer and Daniel B. Szyld},
title = {{$H$}-splittings and Two-stage Iterative Methods},
journal = {Numerische Mathematik},
volume = 63,
pages = {345-356},
year = 1992
}
@ARTICLE{Marek.Szyld.93,
author = {Ivo Marek and Daniel B. Szyld},
title = {Iterative and Semi-iterative Methods for Computing
Stationary Probability Vectors of {M}arkov Operators},
journal = {Mathematics of Computation},
year = 1993,
volume = 61,
pages = {719-731}
}
@ARTICLE{Szyld.Widlund.93,
author = {Daniel B. Szyld and Olof B. Widlund},
title = {Variational Analysis of Some Conjugate Gradient Methods},
year = 1993,
volume = 1,
pages = {51-74},
journal = {East-West Journal of Numerical Mathematics}
}
@INPROCEEDINGS{Szyld.93,
author = {Daniel B. Szyld},
title = {Local Convergence of (Exact and Inexact) Iterative Aggregation},
editor = {Carl D. Meyer and Robert J. Plemmons},
booktitle = {Linear Algebra, {M}arkov Chains and Queuing Models},
series = {IMA Volumes in Mathematics and its Applications},
volume = 48,
publisher = {Springer},
address = {New York -- Berlin},
year = 1993,
pages = {137-143}
}
@ARTICLE{Marek.Szyld.94,
author = {Ivo Marek and Daniel B. Szyld},
title = {Local Convergence of the (Exact and Inexact) Iterative
Aggregation Method for Linear Systems and {M}arkov Operators},
journal = {Numerische Mathematik},
year = 1994,
volume = 69,
pages = {61-82}
}
@ARTICLE{Szyld.94,
author = {Daniel B. Szyld},
title = {Equivalence of Convergence Conditions for Iterative Methods
for Singular Equations},
journal = {Numerical Linear Algebra with Applications},
year = 1994,
volume = 1,
pages = {151-154}
}
@ARTICLE{Frommer.Szyld.94,
author = {Andreas Frommer and Daniel B. Szyld},
title = {Asynchronous Two-stage Iterative Methods},
journal = {Numerische Mathematik},
volume = 69,
pages = {141-153},
year = 1994
}
@INPROCEEDINGS{Szyld.Proc.94,
author = {Daniel B. Szyld},
title = {Synchronous and Asynchronous Two-stage Multisplitting Methods},
year = 1994,
publisher = {{SIAM}},
address = {Philadelphia},
booktitle = {Proceedings of the Fifth {SIAM} Conference on Applied Linear
Algebra},
editor = {John G. Lewis},
pages = {39-44}
}
@ARTICLE{Pantazis.Szyld.95,
author = {Ricardo D. Pantazis and Daniel B. Szyld},
title = {Regions of Convergence of the {R}ayleigh Quotient Iteration Method},
journal = {Numerical Linear Algebra with Applications},
volume = 2,
year = 1995,
pages = {251-269}
}
@ARTICLE{Bru.Migall.Szyld.95,
author = {Rafael Bru and Violeta Migall{\'o}n and Jos{\'e} Penad{\'e}s
and Daniel B. Szyld},
title = {Parallel, Synchronous and Asynchronous Two-stage Multisplitting
Methods},
journal = {Electronic Transactions on Numerical Analysis},
year = 1995,
volume = 3,
pages = {24-38}
}
@ARTICLE{Jones.Szyld.96,
author = {Mark T. Jones and Daniel B. Szyld},
title = {Two-stage Multisplitting Methods with Overlapping Blocks},
journal = {Numerical Linear Algebra with Applications},
year = 1996,
volume = 3,
pages = {113-124}
}
@ARTICLE{Mas.Migall.Szyld.96,
author = {Jos{\'e} Mas and Violeta Migall{\'o}n and Jos{\'e} Penad{\'e}s
and Daniel B. Szyld },
title = {Nonstationary Parallel Relaxed Multisplitting Methods},
year = 1996,
journal = {Linear Algebra and its Applications},
pages = {733-747},
volume = {241--243}
}
@ARTICLE{Migall.Penades.Szyld.96,
author = {Violeta Migall{\'o}n and Jos{\'e} Penad{\'e}s and Daniel B. Szyld},
title = {Block Two-stage Methods for Singular Systems and {M}arkov Chains},
journal = {Numerical Linear Algebra with Applications},
volume = 3,
year = 1996,
pages = {413-426}
}
@INPROCEEDINGS{Choi.Szyld.96,
author = {Hwajeong Choi and Daniel B. Szyld},
title = {Application of Threshold Partitioning of Sparse Matrices to
{M}arkov Chains},
booktitle = {Proceedings of the {IEEE} International Computer Performance
and Dependability Symposium, IPDS'96, Urbana-Champaign, Illinois,
September 4--6, 1996},
year = 1996,
pages = {158-165},
publisher = {{IEEE} Computer Society Press},
address = {Los Alamitos, California}
}
@TECHREPORT{Choi.Szyld.96R,
author = {Hwajeong Choi and Daniel B. Szyld},
title = {Threshold Ordering for Preconditioning Nonsymmetric Problems
with Highly Varying Coefficients},
institution = {Department of Mathematics, Temple University},
address = {Philadelphia},
year = 1996,
month = MAY,
number = {96-51}
}
@ARTICLE{Benzi.Szyld.97,
author = {Michele Benzi and Daniel B. Szyld},
title = {Existence and Uniqueness of Splittings for Stationary
Iterative Methods with Applications to Alternating Methods},
journal = {Numerische Mathematik},
year = 1997,
volume = 76,
pages = {309-321}
}
@INPROCEEDINGS{Benzi.Choi.Szyld.97,
author = {Michele Benzi and Hwajeong Choi and Daniel B. Szyld},
title = {Threshold Ordering for Preconditioning Nonsymmetric Problems},
booktitle = {Scientific Computing, Proceedings of the Workshop,
10--12 March 1997, Hong Kong},
editor = {G.H. Golub and S.-H. Lui and F.T. Luk and R.J. Plemmons},
pages = {159-165},
publisher = {Springer},
address = {Singapore},
year = 1997
}
@ARTICLE{Frommer.Schwandt.Szyld.97,
author = {Andreas Frommer and Hartmut Schwandt and Daniel B. Szyld},
title = {Asynchronous Weighted Additive {S}chwarz Methods},
journal = {Electronic Transactions on Numerical Analysis},
year = 1997,
volume = 5,
pages = {48-61}
}
@ARTICLE{Szyld.98,
author = {Daniel B. Szyld},
title = {Different Models of Parallel Asynchronous Iterations with Overlapping Blocks},
journal = {Computational and Applied Mathematics},
volume = {17},
year = {1998},
pages = {101-115}
}
@TECHREPORT{Szyld.98b,
author = {Daniel B. Szyld},
title = {The Mystery of Asynchronous Iterations Convergence when the
Spectral Radius is One},
institution = {Department of Mathematics, Temple University},
address = {Philadelphia, Pa.},
year = 1998,
month = {October},
number = {98-102},
note = {Available at \verb+http://www.math.temple.edu/szyld+}
}
@INPROCEEDINGS{Benzi.Szyld.Duin.98-0,
author = {Michele Benzi and Daniel B. Szyld and Arno van Duin},
title = {Orderings for {ILU} Preconditionings of Nonsymmetric Problems},
booktitle = {Computational Engineering in Systems Applications --
Proceedings of the {IMACS}-{IEEE} Multiconference, Nabeul-Hammamet,
Tunisia, April 1--4, 1998},
editor = {Pierre Borne and Mekki Ksouri and Abdelkder El Kamel},
note = {CD-ROM},
year = 1998
}
@INPROCEEDINGS{Benzi.Szyld.Duin.98-1,
author = {Michele Benzi and Daniel B. Szyld and Arno van Duin},
title = {Orderings for Incomplete Factorization Preconditionings of
Nonsymmetric Linear Systems},
booktitle = {Proceedings of the Copper Mountain Conference on Iterative
Methods, March 30 -- April 3, 1998},
year = 1998
}
@INPROCEEDINGS{Benzi.Szyld.Duin.98-2,
author = {Michele Benzi and Daniel B. Szyld and Arno van Duin},
title = {A Study of Different Orderings for Incomplete Factorization
Preconditionings of Nonsymmetric Linear Systems},
booktitle = {Computational Mechanics, New Trends and Applications --
Proceedings of the Fourth World Congress, Buenos Aires,
June 29 --July 2, 1998},
editor = {Segio R. Idelsohn and Eugenio O{\~n}ate and Eduardo N. Dvorkin},
note = {CD-ROM, Section 2, paper 5},
year = 1998
}
@ARTICLE{Frommer.Szyld.98,
author = {Andreas Frommer and Daniel B. Szyld},
title = {Asynchronous Iterations with Flexible Communication for Linear
Systems},
journal = {Calculateurs Parall{\`e}les R{\'e}seaux et
Syst{\`e}mes R{\'e}partis},
volume = 10,
year = 1998,
pages = {421-429}
}
@ARTICLE{Bai.Migallon.Penades.Szyld.99,
author = {Zhong-Zhi Bai and Violeta Migall{\'o}n and Jos{\'e} Penad{\'e}s
and Daniel B. Szyld},
title = {Block and Asynchronous Two-stage Methods for Mildly Nonlinear Systems},
journal = {Numerische Mathematik},
volume = 82,
year = 1999,
pages = {1-20}
}
@ARTICLE{Blathras.Szyld.Shi.99,
author = {Kostas Blathras and Daniel B. Szyld and Yuan Shi},
title = {Timing Models and Local Stopping Criteria for Asynchronous
Iterative Algorithms},
journal = {Journal of Parallel and Distributed Computing},
volume = 58,
year = 1999,
pages = {446-465}
}
@ARTICLE{Benzi.Szyld.Duin.99,
author = {Michele Benzi and Daniel B. Szyld and Arno van Duin},
title = {Orderings for Incomplete Factorization Preconditionings
of Nonsymmetric Problems},
journal = {SIAM Journal on Scientific Computing},
volume = 20,
year = 1999,
pages = {1652-1670}
}
@ARTICLE{Frommer.Szyld.99,
author = {Andreas Frommer and Daniel B. Szyld},
title = {Weighted Max Norms, Splittings, and Overlapping Additive
{S}chwarz Iterations},
journal = {Numerische Mathematik},
year = 1999,
volume = 83,
pages = {259-278}
}
@INPROCEEDINGS{Migallon.Penades.Szyld.99,
author = {Violeta Migall{\'o}n and Jos{\'e} Penad{\'e}s and Daniel B. Szyld},
title = {Experimental Study of Parallel Iterative Solutions of
{M}arkov Chains with Block Partitions},
booktitle = {Numerical Solution of {M}arkov Chains (NSMC'99)},
editor = {Brigitte Plateau and William J. Stewart and Manuel Silva},
publisher = {Prensas Universitarias de Zaragoza},
pages = {96-110},
year = 1999
}
@ARTICLE{Marek.Szyld.00,
author = {Ivo Marek and Daniel B. Szyld},
title = {Comparison Theorems for the Convergence Factor of
Iterative Methods for Singular Matrices},
journal = {Linear Algebra and its Applications},
volume = 316,
year = 2000,
pages = {67-87}
}
@ARTICLE{Frommer.Szyld.00,
author = {Andreas Frommer and Daniel B. Szyld},
title = {On Asynchronous Iterations},
journal = {Journal of Computational and Applied Mathematics},
volume = 123,
year = 2000,
pages = {201-216}
}
@ARTICLE{Szyld.Xu.00,
author = {Daniel B. Szyld and Jian-Jun Xu},
title = {Convergence of Some Asynchronous Nonlinear Multisplitting Methods},
journal = {Numerical Algorithms},
volume = 25,
year = 2000,
pages = {347-361}
}
@ARTICLE{Szyld.Vogel.01,
author = {Daniel B. Szyld and Judith A. Vogel},
title = {A Flexible Quasi-Minimal Residual Method with Inexact
Preconditioning},
journal = {SIAM Journal on Scientific Computing},
volume = 23,
pages = {363-380},
year = 2001
}
@ARTICLE{Migallon.Penades.Szyld.01,
author = {Violeta Migall{\'o}n and Jos{\'e} Penad{\'e}s and Daniel B. Szyld},
title = {Nonstationary Multisplittings with General Weighting Matrices},
year = 2001,
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = 22,
pages = {1089-1094}
}
@ARTICLE{Benzi.Frommer.Szyld.01,
author = {Michele Benzi and Andreas Frommer and Reinhard Nabben and
Daniel B. Szyld},
title = {Algebraic Theory of Multiplicative {S}chwarz Methods},
year = 2001,
journal = {Numerische Mathematik},
volume = 89,
pages = {605-639}
}
@ARTICLE{Frommer.Szyld.01,
author = {Andreas Frommer and Daniel B. Szyld},
title = {An Algebraic Convergence Theory for Restricted Additive
{S}chwarz Methods Using Weighted Max Norms},
year = 2001,
journal = {SIAM Journal on Numerical Analysis},
volume = 39,
pages = {463-479}
}
@INPROCEEDINGS{Szyld.01,
author = {Daniel B. Szyld},
title = {Perspectives on Asynchronous Computations for Fluid Flow Problems},
booktitle = {Computational Fluid and Solid Mechanics},
publisher = {Elsevier},
year = 2001,
editor = {K. J. Bathe},
pages = {377-380}
}
@INPROCEEDINGS{Frommer.Nabben.Szyld.02,
author = {Andreas Frommer and Reinhard Nabben and Daniel B. Szyld},
title = {An Algebraic Convergence Theory for Restricted Additive and
Multiplicative {S}chwarz Methods},
booktitle = {Domain Decomposition Methods in Science and Engineering,
Thirteenth International Conference on Domain Decomposition Methods,
Lyon, France},
editor = {N. Debit and M. Garbey and R. Hoppe and D. Keyes and
Y. Kuznetzov and J. P{\'e}riaux},
pages = {371-377},
publisher = {CIMNE, UPC},
address = {Barcelona},
year = 2002
}
@ARTICLE{Marek.Szyld.02,
author = {Ivo Marek and Daniel B. Szyld},
title = {Comparison of Convergence of General Stationary Iterative
Methods for Singular Matrices},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = {24},
pages = {68-77},
year = 2002
}
@ARTICLE{Elsner.Frommer.Nabben.Schneider.Szyld.03,
author = {Ludwig Elsner and Andreas Frommer and Reinhard Nabben
and Hans Schneider and Daniel B. Szyld},
title = {Conditions for strict inequality in comparisons of spectral
radii of splittings of different matrices},
journal = {Linear Algebra and its Applications},
volume = {363},
year = 2003,
pages = {65-80}
}
@ARTICLE{Nabben.Szyld.03,
author = {Reinhard Nabben and Daniel B. Szyld},
title = {Convergence theory of restricted multiplicative {S}chwarz methods},
journal = {SIAM Journal on Numerical Analysis},
volume = {40},
year = 2003,
pages = {2318-2336}
}
@ARTICLE{Simoncini.Szyld.03a,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {Flexible Inner-Outer {Krylov} Subspace Methods},
year = 2003,
journal = {SIAM Journal on Numerical Analysis},
volume = 40,
pages = {2219-2239}
}
@ARTICLE{Simoncini.Szyld.03b,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {Theory of Inexact {Krylov} Subspace Methods and Applications to Scientific Computing},
year = 2003,
journal = {SIAM Journal on Scientific Computing},
volume = 25,
pages = {454-477}
}
@ARTICLE{Bru.Pedroche.Szyld.04a,
author = {Rafael Bru and Francisco Pedroche and Daniel B. Szyld},
title = {Overlapping additive and multiplicative {S}chwarz iterations
for {$H$}-matrices},
journal = {Linear Algebra and its Applications},
year = 2004,
volume = 393,
pages = {91-105}
}
@ARTICLE{Marek.Szyld.04,
author = {Ivo Marek and Daniel B. Szyld},
title = {Algebraic {S}chwarz methods for the numerical solution of
{M}arkov chains},
journal = {Linear Algebra and its Applications},
volume = 386,
pages = {67-81},
year = 2004
}
@INPROCEEDINGS{Marek.Szyld.04a,
author = {Ivo Marek and Daniel B. Szyld},
title = {Algebraic Analysis of {S}chwarz Methods for Singular Systems},
booktitle = {Domain Decomposition Methods in Science and Engineering},
editor = {R. Kornhuber and R. H. W. Hoppe and J. P{\'e}riaux and
O. Pironneau and O. B. Widlund and J. Xu},
series = {Lecture notes in Computer Science and Engineering},
volume = 40,
publisher = {Springer},
year = 2004,
pages = {647-652}
}
@ARTICLE{Simoncini.Szyld.05a,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {On the Occurrence of Superlinear Convergence of Exact and
Inexact {K}rylov Subspace Methods},
journal = {SIAM Review},
volume = 47,
year = 2005,
pages = {247-272}
}
@ARTICLE{Simoncini.Szyld.05c,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {Relaxed {K}rylov subspace approximation},
journal = {PAMM},
pages = {797-800},
volume = 5,
year = 2005
}
@ARTICLE{Bru.Pedroche.Szyld.05,
author = {Rafael Bru and Francisco Pedroche and Daniel B. Szyld},
title = {Additive {S}chwarz Iterations for {M}arkov Chains},
year = 2005,
volume = 27,
pages = {445-458},
journal = {SIAM Journal on Matrix Analysis and Applications}
}
@INPROCEEDINGS{Bru.Pedroche.Szyld.05a,
author = {Rafael Bru and Francisco Pedroche and Daniel B. Szyld},
title = {C{\'a}lculo del Vector {PageRank} de Google Mediante el
m{\'e}todo Iterativo de {S}chwarz (Computation of Google's PageRank
Vector with the {S}chwarz Iterative Method)},
year = 2005,
booktitle = {Congreso de M{\'e}todos Num{\'e}ricos en Ingenier{\'i}a
(Proceedings of the Congress on Numerical Methods in Engineering)},
editor = {J.L. P{\'e}rez Aparicio et al.},
note = {In Spanish},
page = {263-270},
address = {Granada, Spain}
}
@ARTICLE{Bru.Pedroche.Szyld.05b,
author = {Rafael Bru and Francisco Pedroche and Daniel B. Szyld},
title = {Subdirect sums of nonsingular {$M$}-matrices and of their inverses},
journal = {Electronic Journal of Linear Algebra},
volume = 13,
year = 2005,
month = JUL,
pages = {162-174}
}
@ARTICLE{Simoncini.Szyld.05,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {The effect of non-optimal bases on the
convergence of {Krylov} Subspace Methods},
year = 2005,
journal = {Numerische Mathematik},
volume = 100,
pages = {711-733}
}
@INPROCEEDINGS{Sarkis.Szyld.06,
author = {Marcus Sarkis and Daniel B. Szyld},
title = {A Proposal for a Dynamically Adapted Inexact Additive
{S}chwarz Preconditioner},
booktitle = {Domain Decomposition Methods in Science and Engineering XVI},
publisher = {Springer},
address = {Berlin, Heidelberg, New York},
series = {Lecture Notes in Computational Science and Engineering},
editor = {Olof Widlund and David Keyes},
volume = 55,
year = 2006,
pages = {333-337}
}
@ARTICLE{Bru.Pedroche.Szyld.06,
author = {Rafael Bru and Francisco Pedroche and Daniel B. Szyld},
title = {Subdirect Sums of {$S$}-Strictly Diagonally Dominant Matrices},
journal = {Electronic Journal of Linear Algebra},
volume = 14,
year = 2006,
pages = {201-209}
}
@ARTICLE{Szyld.06,
author = {Daniel B. Szyld},
title = {The Many Proofs of an Identity on the Norm of Oblique Projections},
journal = {Numerical Algorithms},
volume = 42,
year = 2006,
pages = {309-323}
}
@ARTICLE{Nabben.Szyld.06,
author = {Reinhard Nabben and Daniel B. Szyld},
title = {{S}chwarz iterations for symmetric positive semidefinite problems},
year = 2006,
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = 29,
pages = {98-116}
}
@INPROCEEDINGS{Kollias.Gallopoulos.Szyld.06,
author = {Giorgos Kollias and Efstratios Gallopoulos and Daniel B. Szyld},
title = {Asynchronous iterative computations with Web information
retrieval structures: {T}he {PageRank} case},
year = 2006,
booktitle = {Parallel Computing: Current and Future Issues of High-End
Computing (Proceedings of the International Conference Parco05)},
editor = {G.R. Joubert and W.E. Nagel and F.J. Peters and O. Plata
and P. Tirado and E. Zapata},
publisher = {John von Neumann-Institut f\"{u}r Computing (NIC)},
pages = {309-316},
series = {NIC Series},
volume = 33,
address = {J\"{u}lich, Germany}
}
@ARTICLE{Sarkis.Szyld.07,
author = {Marcus Sarkis and Daniel B. Szyld},
title = {Optimal Left and Right Additive {S}chwarz Preconditioning
for Minimal Residual Methods with {E}uclidean and Energy Norms},
journal = {Computer Methods in Applied Mechanics and Engineering},
volume = 196,
year = 2007,
pages = {1612-1621}
}
@ARTICLE{Simoncini.Szyld.07,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {Recent Computational Developments in {K}rylov
Subspace Methods for Linear Systems},
year = 2007,
journal = {Numerical Linear Algebra with Applications},
volume = 14,
pages = {1-59}
}
@ARTICLE{Arnal.Migallon.Penades.Szyld.08,
author = {Josep Arnal and Violeta Migall{\'o}n and Jos{\'e} Penad{\'e}s
and Daniel B. Szyld},
title = {{N}ewton Additive and Multiplicative {S}chwarz Iterative Methods},
journal= {IMA Journal of Numerical Analysis},
year = 2008,
volume=28,
pages = {143--161}
}
@ARTICLE{Fritzsche.Mehrmann.Szyld.Virnik.08,
author = {David Fritzsche and Volker Mehrmann and Daniel B. Szyld
and Elena Virnik},
title = {An {SVD} approach to identifying meta-stable states of
{M}arkov chains},
journal= {Electronic Transactions on Numerical Analysis},
volume = 29,
year = 2008,
pages={46--69}
}
@article{Fritzsche.Frommer.Szyld.07,
author = {David Fritzsche and Andreas Frommer and Daniel B. Szyld},
title = {Extensions of Certain Graph-based Algorithms for Preconditioning},
year = 2007,
volume=29,
journal={SIAM Journal on Scientific Computing},
pages={2144--2161}
}
@TECHREPORT{Elhashash.Szyld.07,
author = {Abed Elhashash and Daniel B. Szyld},
title = {{P}erron-{F}robenius Properties of General Matrices},
institution = {Department of Mathematics, Temple University},
number = {07-01-10}, month=JAN, year=2007,
Note = {Revised November 2007}
}
@ARTICLE{Elhashash.Szyld.08b,
author = {Abed Elhashash and Daniel B. Szyld},
title = {On general matrices having the {P}erron-{F}robenius property},
journal = {Electronic Journal on Linear Algebra},
year= 2008,
volume = 17,
pages = {389--413}
}
@ARTICLE{Du.Szyld.08,
author = {Xiuhong Du and Daniel B. Szyld},
title = {A note on the mesh independence of convergence bounds for
additive {S}chwarz preconditioned {GMRES}},
year = 2008,
journal = {Numerical Linear Algebra with Applications},
volume= 15,
pages={547--557}
}
@ARTICLE{Simoncini.Szyld.08,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {New conditions for non-stagnation of minimal residual methods},
journal={Numerische Mathematik},
volume=109,
year=2008,
pages={477--487}
}
@ARTICLE{Elhashash.Szyld.08a,
author = {Abed Elhashash and Daniel B. Szyld},
title = {Generalizations of {$M$}-matrices which may not have
a nonnegative inverse},
year=2008,
journal ={Linear Algebra and its Applications},
volume = 429,
pages = {2435--2450}
}
@ARTICLE{Loisel.Nabben.Szyld.08,
author = {S\'ebastien Loisel and Reinhard Nabben and Daniel B. Szyld},
title = {On Hybrid Multigrid-{S}chwarz algorithms},
year=2008,
journal= {Journal on Scientific Computing},
volume = 36,
pages= {165--175}
}
@ARTICLE{Du.Szyld.08a,
author = {Xiuhong Du and Daniel B. Szyld},
title = {Inexact {GMRES} for singular linear system},
year = 2008,
journal = {BIT Numerical Mathematics},
volume = 48,
pages = {511--531}
}
@ARTICLE{Frommer.Nabben.Szyld.08,
author = {Andreas Frommer and Reinhard Nabben and Daniel B. Szyld},
title = {Convergence of Stationary Iterative Methods for {H}ermitian
Semidefinite Linear Systems and Applications to {S}chwarz Methods},
year = 2008,
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = 30,
pages= {925--938}
}
@ARTICLE{Elhashash.Szyld.09,
author = {Abed Elhashash and Daniel B. Szyld},
title = {Two characterizations of matrices with the
{P}erron-{F}robenius Property},
journal ={Numerical Linear Algebra with Applications},
volume=16,
pages={863--869},
year=2009
}
@INPROCEEDINGS{Loisel.Szyld.09a,
author = {S\'ebastien Loisel and Daniel B. Szyld},
title = {On the convergence of Optimized {S}chwarz Methods by
way of Matrix Analysis},
booktitle = {Domain Decomposition Methods in
Science and Engineering XVIII},
publisher = {Springer},
address= "Berlin, Heidelberg, New York",
series = {Lecture Notes in Computational Science and Engineering},
volume=70,
editor={Michel Bercovier and Martin Gander and Ralf Kornhuber and Olof B. Widlund},
pages={363--370},
year=2009
}
@INPROCEEDINGS{Loisel.Szyld.09b,
author = {S\'ebastien Loisel and Daniel B. Szyld},
title = {A maximum principle for {$L^2$}-trace norms with an
application to Optimized {S}chwarz Methods},
booktitle = {Domain Decomposition Methods in
Science and Engineering XVIII},
publisher = {Springer},
address= "Berlin, Heidelberg, New York",
series = {Lecture Notes in Computational Science and Engineering},
volume=70,
editor={Michel Bercovier and Martin Gander and Ralf Kornhuber and Olof B. Widlund},
pages={193--200},
year=2009
}
@ARTICLE{Elhashash.Rothblum.Szyld.09,
author = {Abed Elhashash and Uriel G. Rothblum and Daniel B. Szyld},
title = {Paths of matrices with the strong {P}erron-{F}robenius
property converging to a given matrix with the
{P}erron-{F}robenius property},
journal = {Electronic Journal on Linear Algebra},
volume = 19,
pages = {90--97},
year = 2009
}
@ARTICLE{Elhashash..Szyld.10,
author = {Abed Elhashash and Daniel B. Szyld},
title = {Matrix functions preserving sets of generalized nonnegative
matrices},
journal = {Electronic Journal on Linear Algebra},
year=2010,
volume=20,
pages={673--690}
}
@ARTICLE{Loisel.Szyld.10,
author = {S\'ebastien Loisel and Daniel B. Szyld},
title = {On the convergence of Algebraic Optimizable {S}chwarz Methods with
applications to elliptic problems},
journal={Numerische Mathematik},
year=2010,
volume=114,
pages={697--728}
}
@ARTICLE{Simoncini.Szyld.10,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {Interpreting {IDR} as a {P}etrov-{G}alerkin method},
journal={SIAM Journal on Scientific Computing},
volume=32,
year=2010,
pages={1898--1912}
}
@misc{Monsalve.Szyld.Poster.2010,
author={Marlliny Monsalve and Daniel B. Szyld},
title={Inexact {N}ewton with {K}rylov projection and recycling for {R}iccati equations},
note={Poster presented at the
Conference on Numerical Linear Algebra:
Perturbation, Performance, and Portability,
Austin, Texas, July 19-20, 2010}
}
@ARTICLE{Simoncini.Szyld.10b,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {On the field of values of oblique projections},
journal= {Linear Algebra and its Applications},
year=2010,
volume=433,
pages={810--818}
}
@MISC{Monsalve.Szyld.Poster.10,
author= {Marlliny Monsalve and Daniel B. Szyld},
title ={Inexact {N}ewton with {K}rylov projection and recycling for {R}iccati equations},
note={Poster presented at the Conference on Numerical Linear Algebra:
Perturbation, Performance, and Portability,
Austin, Texas, 2010}
}
@ARTICLE{Xue.Szyld.11,
author= {Daniel B. Szyld and Fei Xue},
title = {Efficient preconditioned inner solves for inexact {R}ayleigh
quotient iteration and their connections to the single-vector
{J}acobi-{D}avidson method},
journal = {SIAM Journal on Matrix Analysis and Applications}
year=2011,
volume=32,
pages={993--1018}
}
@ARTICLE{Yang.Latecki.Szyld.11,
author= {Xingwei Yang and Daniel B. Szyld and Longin Jan Latecki},
title= {Diffusion on a Tensor Product Graph for Semi-Supervised
learning and Interactive Image Segmentation},
journal={Advances in Imaging and Electron Physics},
volume = 169,
year = 2011,
pages ={147--172}
}
@ARTICLE{Dubois.etal.coarse.12,
author= {Olivier Dubois and Martin J. Gander and S\'ebastien Loisel
and Amik St-Cyr and Daniel B. Szyld},
title = {The Optimized {S}chwarz Method with a Coarse Grid Correction},
journal={SIAM Journal on Scientific Computing},
vloume=34, pages = {A421--A458}, year=2012
}
@ARTICLE{Embree.etal.2012,
author= {Mark Embree and Josef A. Sifuentes and Kirk M. Soodhalter
and Daniel B. Szyld and Fei Xue},
title = {Short-term recurrence {K}rylov subspace methods for
nearly-{H}ermitian matrices},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume=33, pages = {480--500}, year = 2012
}
@ARTICLE{Sadok.Szyld.12,
author = {Hassane~Sadok and Daniel~B.~Szyld},
title = {A new look at {CMRH} and its relation to {GMRES}},
journal = {BIT Numerical Mathematics},
volume=52, pages = {485--501}, year=2012
}
@ARTICLE{Gander.Loisel.Szyld.12,
author= {Martin J. Gander and S\'ebastien Loisel and Daniel B. Szyld},
title = {An optimal block iterative method and preconditioner
for banded matrices with applications to {PDEs} on irregular domains},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume=33, pages = {653--680}, year = 2012
}
@ARTICLE{Szyld.Xue.13,
author= {Daniel B. Szyld and Fei Xue},
title= {Local convergence analysis of several inexact {N}ewton-type
algorithms for general nonlinear eigenvalue problems},
year=2013,
journal={Numerische Mathematik}, volume=123, pages={333--362}
}
@INPROCEEDINGS{Simoncini.Szyld.13,
author = {Valeria Simoncini and Daniel B. Szyld},
title = {On the Superlinear Convergence of MINRES},
year = 2013,
booktitle = {Numerical Mathematics and Advanced Applications 2011 -
Proceedings of ENUMATH 2011, the 9th European Conference on
Numerical Mathematics and
Advanced Applications, Leicester, September 2011},
editors={A. Cangiani and R.L. Davidchack and E.H. Georgoulis
and A. Gorban and J. Levesley and M.V. Tretyakov},
publisher={Springer}, address={Berlin and Heidelberg},
pages={733--740}
}
@ARTICLE{Fritzsche.Frommer.Shank.Szyld.13,
author= {David Fritzsche and Andreas Frommer and Stephen D. Shank
and Daniel B. Szyld},
title = {Overlapping blocks by growing a partition with applications to
preconditioning},
journal={SIAM Journal on Scientific Computing},
volume=35, year=2013, pages={A453--A473}
}
@ARTICLE{Du.Sarkis.Schaerer.Szyld.13,
author = {Xiuhong Du and Marcus Sarkis and Christian E. Schaerer
and Daniel B. Szyld},
title = {Inexact and truncated Parareal-in-time {K}rylov subspace
methods for parabolic optimal control problems},
year = 2013,
journal = {Electronic Transactions on Numerical Analysis},
volume= 40, pages={36--57}
}
@INPROCEEDINGS{Du.Haber.Karampataki.Szyld.13,
author = {Xiuhong Du and Eldad Haber and Maria Karampataki and Daniel B. Szyld},
title = {Varying Iteration Accuracy Using Inexact Conjugate Gradients
in Control Problems governed by {PDE}'s},
institution = {Department of Mathematics, Temple University},
booktitle= {Proceedings of the 2nd Annual International Conference on
Computational Mathematics, Computational Geometry and Statistics
(CMCGS 2013).},
editors= {Ke Chen and C. Raju},
year = 2013,
publisher={Global and Technology Forum}, address={Singapore},
pages={29--38}
}
@ARTICLE{Shader.Shaked-Monderer.Szyld.14,
author = {Bryan Shader and Naomi Shaked-Monderer and Daniel B. Szyld},
title = {Nearly positive matrices},
year = 2014,
journal = {Linear Algebra and its Applications},
volume = 449,
pages = {520--544}
}
@ARTICLE{Soodhalter.Szyld.Xue.14,
author = {Kirk M. Soodhalter and Daniel B. Szyld and Fei Xue},
title = {Krylov Subspace Recycling for Sequences of Shifted Linear Systems},
year = 2014,
journal = {Applied Numerical Mathematics},
volume = 81,
pages = {105--118}
}
@ARTICLE{Frommer.Szyld.14,
author = {Andreas Frommer and Daniel B. Szyld},
title = {On Necessary Conditions for Convergence of Stationary Iterative Methods
for Hermitian Definite and Semidefinite Linear Systems},
year = 2014,
journal= {Linear Algebra and its Applications},
volume=453, pages={192--201}
}
@ARTICLE{Simoncini.Szyld.Monsalve.14,
author = {Valeria Simoncini and Daniel B. Szyld and
Marlliny Monsalve},
title= {On the numerical solution of large-scale {R}iccati equations},
year = 2014,
journal={IMA Journal on Numerical Analysis},
volume=34, pages={904--920}
}
@ARTICLE{Szyld.Xue.14a,
author= {Daniel B. Szyld and Fei Xue},
title={Several properties of invariant pairs of nonlinear
algebraic eigenvalue problems},
year = 2014,
journal={IMA Journal on Numerical Analysis},
volume=34, pages={921--954}
}
@INPROCEEDINGS{Greif.Rees.Szyld.14a,
author = {Chen Greif and Tyrone Rees and Daniel B. Szyld},
title= {Additive {S}chwarz with Variable Weights},
year = 2014,
booktitle = {Domain Decomposition Methods in Science and Engineering XXI},
editor = { J. Erhel and M. Gander and L. Halpern and G. Pichot and T. Sassi and
O. Widlund},
series={Lecture Notes in Computer Science and Engineering},
volume=98,
publisher= {Springer}, address={Berlin and Heidelberg},
pages={661--668},
notes={ DOI: 10.1007/s11075-014-9831-2}
}
@ARTICLE{Laayouni.Szyld.14,
author= {Lahcen Laayouni and Daniel B. Szyld},
title= {On the performance of the Algebraic Optimized {S}chwarz
Methods with applications},
journal = {Numerical Algorithms},
year = 2014,
volume = 67,
pages = {889--916}
}
@ARTICLE{Szyld.Xue.15I,
author= {Daniel B. Szyld and Fei Xue},
title={Local convergence of {N}ewton-like methods for degenerate
eigenvalues of nonlinear eigenproblems. {I}. {C}lassical algorithms},
journal={Numerische Mathematik},
DOInmber={10.1007/s00211-014-0639-8},
year=2015,
volume=129,
pages={353--381}
}
@ARTICLE{Szyld.Xue.15II,
author= {Daniel B. Szyld and Fei Xue},
title={Local convergence of {N}ewton-like methods for degenerate
eigenvalues of nonlinear eigenproblems. {II}. {A}ccelerated algorithms},
journal={Numerische Mathematik},
DOInumber={10.1007/s00211-014-0640-2},
year=2015,
volume=129,
pages={382--403}
}
@ARTICLE{Duminil.Sadok.Szyld.15,
author = {S\'{e}bastien Duminil and Hassane~Sadok and Daniel~B.~Szyld},
title = {Nonlinear {S}chwarz iterations with Reduced Rank Extrapolation},
journal = {Applied Numerical Mathematics},
DOInumber={10.1016/j.apnum.2015.04.001},
volume = 94,
year = 2015,
pages = {209--221}
}
@ARTICLE{Szyld.Xue.16,
author= {Daniel B. Szyld and Fei Xue},
title = {Preconditioned eigensolvers for large-scale nonlinear {H}ermitian eigenproblems with
variational characterizations. {I}. {E}xtreme eigenvalues},
journal = {Mathematics of Computations},
year = 2016,
volume=85, pages={2887--2918}
}
@ARTICLE{Szyld.Vecharynski.Xue.15,
author= {Daniel B. Szyld and Eugene Vecharynski and Fei Xue},
title = {Preconditioned eigensolvers for large-scale nonlinear {H}ermitian eigenproblems with
variational characterizations. {II}. {C}onjugate gradient methods},
note = {To appear in {\em SIAM Journal on Scientific Computing}}
journal= {SIAM Journal on Scientific Computing},
volume= 37,
pages ={A2969--A2997},
year = 2015
}
@ARTICLE{Chidyagwai.Ladenheim.Szyld.16,
author= {Prince Chidyagwai and Scott Ladenheim and Daniel B. Szyld},
title = {Constraint Preconditioning for the Coupled {S}tokes-{D}arcy System},
journal = {SIAM Journal on Scientific Computing},
volume=38, pages= {A668--A690},
year = 2016
}
@ARTICLE{Shank.Simoncini.Szyld.16,
author = {Stephen D. Shank and Valeria Simoncini and Daniel~B.~Szyld},
title = {Efficient low-rank solutions of generalized {L}yapunov equations},
journal = {Numerische Mathematik},
volume = 134,
year = 2016,
pages= {327--342}
}
@INPROCEEDINGS{Anzt.Chow.Szyld.Dongarra.16,
author = {Hartwig Anzt and Edmond Chow and Daniel B. Szyld and Jack Dongarra},
title = {Domain Overlap for Iterative Sparse Triangular Solves on {GPU}s},
booktitle = {Software for Exascale Computing, SPPEXA 2013--2015},
editor = {Hans-Joachim Bungartz and Philipp Neumann and Wolfgang E. Nagel},
series = {Lecture notes in Computational Science and Engineering},
VOLUME= 113,
publisher= {Springer},
address = {Berlin and Heidelberg},
pages = {527--545},
year = 2016,
}
@ARTICLE{Greif.Rees.Szyld.17,
author= {Chen Greif and Tyrone Rees and Daniel B. Szyld},
title = {{GMRES} with multiple preconditioners},
journal = {SeMA Journal},
volume = 74,
year= 2017,
pages = {213--231},
}
@ARTICLE{Ahmad.Szyld.VanGijzen.17,
author = {Mian Ilyas Ahmad and Daniel B. Szyld and Martin B. van Gijzen},
title = {Preconditioned multishift BiCG for {{\cal H}}$_2$-optimal
model reduction},
journal= {SIAM Journal on Matrix Analysis and Applications},
volume = 38,
year = 2017,
pages = {401--424}}
}
@ARTICLE{Magoules.Szyld.Venet.17,
author= {Fr\'ed\'eric Magoul\`es and Daniel B. Szyld and C\'edric Venet},
title = {Asynchronous Optimized {S}chwarz Methods with and without Overlap},
journal = {Numerische Mathematik},
volume = 137,
year = 2017,
pages = {199--227},
}
@ARTICLE{Frommer.Lund.Schweitzer.Szyld.17,
author={Andreas Frommer and Kathryn Lund-Nguyen and Marcel Schweitzer and Daniel B. Szyld},
title= {The {R}adau--{L}anczos method for matrix functions},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume= 38,
year= 2017,
pages={710--732}
}
@ARTICLE{Frommer.Lund.Szyld.17,
author={Andreas Frommer and Kathryn Lund and Daniel B. Szyld},
title= {Block Krylov subspace methods for functions of matrices},
year= 2017,
journal = {Electronic Transactions on Numerical Analysis},
volume = 47,
pages ={100--126}
}
@ARTICLE{Bakhos.et.al.17,
author = {Tania Bakhos and Peter K. Kitanidis and Scott Ladenheim and Arvind K. Saibaba
and Daniel B. Szyld},
title = {Multipreconditioned {GMRES} for Shifted Systems},
journal = {SIAM Journal on Scientific Computing},
volume= 39,
pages= {S222--S247},
year = 2017
}
@ARTICLE{Ech.Lie.Szy.Tic.18,
author={Carlos Echeverr{\'i}a and J\"{o}rg Liesen and Daniel B. Szyld and Petr Tich{\'y}},
title= {Convergence of the multiplicative {S}chwarz method for singularly perturbed
convection-diffusion problems discretized on a {S}hishkin mesh},
journal= {Electronic Transactions on Numerical Analysis},
volume=48,
year= 2018,
pages = {40--62}
}
@INPROCEEDINGS{Garay.Magoules.Szyld.18.1,
author= {Jos\'e C. Garay and Fr\'ed\'eric Magoul\`es and Daniel B. Szyld},
title= {Convergence of Asynchronous Optimized {S}chwarz Methods in the plane},
booktitle = {Domain Decomposition Methods in Science and Engineering XXIV},
editor={Peter E.~Bj\o stard and Susanne C.~Brenner and Lawrence Halpern
and Hyea Hyun Kim and Ralf Kornhuber and Talal Rahman and Olof B.~Widlund},
series = {Lecture Notes in Computer Science and Engineering},
volume= 125,
publisher={Springer},
address= {Berlin and Heidelberg}, year=2018,
pages={333--341}
}
@INPROCEEDINGS{Garay.Magoules.Szyld.18.2,
author= {Jos\'e C. Garay and Fr\'ed\'eric Magoul\`es and Daniel B. Szyld},
title= {Optimized {S}chwarz Method for {P}oisson's Equation in Rectangular Domains},
booktitle = {Domain Decomposition Methods in Science and Engineering XXIV},
editor={Peter E.~Bj\o stard and Susanne C.~Brenner and Lawrence Halpern
and Hyea Hyun Kim and Ralf Kornhuber and Talal Rahman and Olof B.~Widlund},
series = {Lecture Notes in Computer Science and Engineering},
volume= 125,
publisher={Springer},
address= {Berlin and Heidelberg}, year=2018,
pages={533--541}
}
@article{Han.et.al.19,
author= {Endao Han and Liang Zhao and Nigel Van Ha and S.~Tonia Hsieh and Daniel B. Szyld and Heinrich M. Jaeger},
title= {Dynamic jamming of dense suspensions under tilted impact},
journal= {Physical Review Fluids},
volume=4,
year=2019,
pages={063304},
DOI={DOI:https://doi.org/10.1103/PhysRevFluids.4.063304}
}
@article{Kehl.Nabben.Szyld.19,
author= {Ren\'e Kehl and Reinhard Nabben and Daniel B. Szyld},
title= {Adaptive Multilevel {K}rylov Methods},
journal = {Electronic Transactions on Numerical Analysis},
volume=51,
year= 2019,
pages = {512--528},
DOIs = {10.1553/etna_vol51s512}
}
@ARTICLE{ElHaddad.Garay.Magoules.Szyld.20,
author= {Mireille {El Haddad} and Jos\'e C. Garay and Fr\'ed\'eric Magoul\`es and Daniel B. Szyld},
title= {Synchronous and Asynchronous Optimized {S}chwarz Methods for one-way subdivision of bounded domains},
journal={Numerical Linear Algebra and Applications},
volume={27},
pages={e2279},
year= 2020,
note={30 pages}
}
@ARTICLE{Frommer.Lund.Szyld.20,
author={Andreas Frommer and Kathryn Lund and Daniel B. Szyld},
title= {Block Krylov subspace methods for functions of matrices {II}: Modified block {FOM}},
year= 2020,
journal= {SIAM Journal on Matrix Analysis and Applications},
volume= 41,
pages={804--837}
}
@ARTICLA{Glusa.etal.20,
author={Christian Glusa and Erik G. Boman and Edmond Chow and Sivasankaran Rajamanickam and Daniel B. Szyld},
title={Scalable Asynchronous Domain Decomposition Solvers},
year= 2020,
journal= {SIAM Journal on Scientific Computing},
vol=42,
pages={C384--C409}
}
@article{Chow.Frommer.Szyld.21,
author = {Edmond Chow and Andreas Frommer and Daniel B. Szyld},
title = {Asynchronous {R}ichardson iterations: Theory and practice},
year = 2021
journal = {Numerical Algorithms},
volume = 87, pages={1635--1651},
notes = {DOI: 10.1007/s11075-020-01023-3}
}
@article{Chu.Szyld.Zhou.21,
author={{Eric King-wah} Chu and Daniel B. Szyld and Jieyong Zhou},
title= {Numerical solution of singular {L}yapunov equations},
year= 2021, volume = 28,
journal={Numerical Linear Algebra with Applications}, pages={e2381}
notess={ DOI: https://doi.org/10.1002/nla.2381}
}
@BOOK{Klapper.Szyld.Zhao.21,
author={Isaac Klapper and Daniel B. Szyld and Kai Zhao},
title={Metabolic Networks, Elementary Flux Modes, and Polyhedral Cones},
publisher={SIAM}, address={Philadelphia},
year=2021,
}
@INPROCEEDINGS{Gander.Laayouni.Szyld.22,
author = {Martin J. Gander and Lahcen Laayouni and Daniel B. Szyld},
title = {{SParse} {A}pproximate {I}nverse ({SPAI}) based transmission conditions for optimized algebraic {S}chwarz methods},
booktitle = {Domain Decomposition Methods in Science and Engineering XXVI},
publisher={Springer},
address= {Berlin and Heidelberg},
year = 2022,
pages ={399--406},
editor = {Susanne C. Brenner and Eric Tsz Shun Chung and Axel Klawonn and Felix Kwok and Jinchao Xu and Jun Zou},
series = {Lecture notes in Computer Science and Engineering},
volume = 145,
}
@ARTICLE{Guducu.Liesen.Mehrmann.Szyld.22,
author = {Candan G{\"u}d{\"u}c{\"u} and J{\"o}rg Liesen and Volker Mehrmann and Daniel B. Szyld},
title = {On non-{H}ermitian positive (semi)definite linear algebraic systems arising from dissipative {H}amiltonian {DAE}s},
journal = {SIAM Journal on Scientific Computing} ,
volume = 44,
pages = {A2871--A2894},
year = 2022,
}
@ARTICLE{Garay.Magoules.Szyld.22,
author= {Jos\'e C. Garay and Fr\'ed\'eric Magoul\`es and Daniel B. Szyld},
title= {Synchronous and Asynchronous Optimized {S}chwarz Method for {P}oisson's Equation in Rectangular Domains},
journal ={Electronic Transactions on Numerical Analysis},
year= 2022,
volume =55,
pages = {744--791},
DOI = {10.1553/etna_vol55s744},
}
@ARTICLE{Chaouqui.Chow.Szyld.23,
author = {Fay\c{c}al Chaouqui and Edmond T. Chow and Daniel B. Szyld},
title = {Asynchronous domain decomposition methods for nonlinear {PDE}s},
year = 2023,
journal ={Electronic Transactions on Numerical Analysis},
pages={22--42},
}
@INPROCEEDINGS{Gander.Laayouni.Szyld.23,
author = {Martin J. Gander and Lahcen Laayouni and Daniel B. Szyld},
title = {An alternating approach for optimizing transmission conditions
in algebraic {S}chwarz methods},
booktitle = {Domain Decomposition Methods in Science and Engineering XXVII},
editor = {Zden\v{e}k Dost\'{a}l and Axel Klawonn and Tom\'{a}\v{s} Kozubek and Ulrich Langer and Luca F. Pavarino and
Jakub \v{S}\'{\i}stek and Olof B. Widlund},
pages ={343--350},
publisher={Springer},
address= {Berlin and Heidelberg},
year = 2023,
}
@ARTICLE{Frommer.Szyld.23,
author={Andreas Frommer and Daniel B. Szyld},
title = {On the convergence of randomized
and greedy relaxation schemes for solving nonsingular linear systems of equations},
year = 2023,
journal = {Numerical Algorithms},
volume = 93,
pages = {639--664},
}
@ARTICLE{Boman.Higgins.Szyld.23,
author = {Erik G. Boman and Andrew J. Higgins and Daniel B. Szyld},
title = {Optimal Size of the Block in Block {GMRES} on {GPU}s: {C}omputational Model and Experiments},
journal = {Numerical Algorithms},
year = 2023,
volume = 93,
pages = {119--147},
}
@TECHREPORT{Schaerer.Szyld.Torres.23,
author = {Christian E. Schaerer and Daniel B. Szyld and Pedro J. Torres},
title = {A posteriori superlinear convergence bounds for block conjugate gradient},
journal = {Electronic Transactions on Numerical Analysis},
year = 2023,
volume= 58,
pages ={115--135},
}
@ARTICLEC{Du.et.al.23,
author = {Jian Du and Bindi M. Nagda and Owen L. Lewis and Daniel B. Szyld and Aaron L. Fogelson},
title = {A Computational Framework for the Swelling Dynamics of Mucin-like Polyelectrolyte Gels},
journal = {Journal of Non-Newtonian Fluid Mechanics},
year = 2023,
volume = 313,
Note = {Article 104989},
}
@ARTICLE{Correnty.Jarlebring.Szyld.23,
author = {Siobh\'{a}n Correnty and Elias Jarlebring and Daniel B. Szyld},
title = {Preconditioned {C}hebyshev {BiCG} for parameterized linear systems},
year = 2023,
journal = {Electronic Transactions on Numerical Analysis},
volume= 58,
pages ={629--656},
}
author = {Fay\c{c}al Chaouqui and Daniel Szyld},
title = {A Two-Level Restricted Additive Schwarz Method For Asynchronous Computations},
%institution = {Department of Mathematics, Temple University},
%number = {22-11-11}, month = NOV, year = 2022,
booktitle = {Domain Decomposition Methods in Science and Engineering XXVII},
editor = {Zden\v{e}k Dost\'{a}l and Axel Klawonn and Tom\'{a}\v{s} Kozubek and Ulrich Langer and Luca F. Pavarino and
Jakub \v{S}\'{\i}stek and Olof B. Widlund},
pages ={109--116},
publisher={Springer},
address= {Berlin and Heidelberg},
year = 2023,
}
@ARTICLE{Klapper.etal.24,
author = {Isaac Klapper and Daniel B. Szyld and Xinli Yu and
Karsten Zengler and Tianyu Zhang and Cristal Z\'{u}{\~{n}}iga},
title = {A domain decomposition method for solution of a {PDE}-constrained generalized {N}ash equilibrium
model of biofilm community metabolism},
journal = {SIAM Journal on Applied Mathematics},
year = 2024,
vol=84,
pages={97--113},
}
@INPROCEEDINGS{Yamazaki.etal.24,
author = {Ichitaro Yamazaki and Andrew J. Higgins and Erik G. Boman and Daniel B. Szyld},
title ={Two-Stage Block Orthogonalization to Improve Performance of $s$-step GMRES},
booktitle ={Proceedings of IPDPS 2024, the 38th IEEE International Parallel and
Distributing Processing Symposium},
note= {San Francisco, 27--31 May 2024.},
pages={26--38},
}
@ARTICLE{Spillane.Szyld.24,
author = {Nicole Spillane and Daniel B. Szyld},
title ={New Convergence Analysis of GMRES with Weighted Norms, Preconditioning and Deflation,
Leading to a New Deflation Space},
journal= {SIAM Journal on Matrix Analysis and Applications},
vol=45,
pages={1721--1745},
year = 2024,
}
@TECHREPORT{Parks.Soodhalter.Szyld.17,
author={Michael L. Parks and Kirk Soodhalter and Daniel B. Szyld},
title= {A Block Recycled {GMRES} Method with Investigations into Aspects of Solver Performance},
institution = {Department of Mathematics, Temple University},
number={16-04-04},
month = APR,
year= 2016,
note = {Revised August 2017}
}
@TECHREPORT{Chaouqui.Szyld.20,
author = {Fay\c{c}al Chaouqui and Daniel Szyld},
title = {On optimal coarse space correction for Restricted and Optimized Additive Schwarz Method},
institution = {Department of Mathematics, Temple University},
number = {20-09-18},
month = SEP,
year = 2020,
}
@TECHREPORT{Higgins.mutisketch.23,
author = {Andrew J. Higgins and Daniel B. Szyld and
Erik G. Boman and Ichitaro Yamazaki},
title ={Analysis of Randomized {H}ouseholder-{C}holesky {QR} Factorization with Multisketching},
year = 2023,
institution = {Department of Mathematics, Temple University},
number = {23-09-11},
month = SEP,
note = {Revised August 2024},
}