Josep Arnal,
Violeta Migallón,
José Penadés, and Daniel B. Szyld,
Newton Additive and Multiplicative
Schwarz Iterative Methods ,
IMA Journal of Numerical Analysis, vol. 28 (2008) pp. 143-161.
Bibtex
Research Papers of Daniel B. Szyld
(last fifteen years or so).
Xingwei Yang, Daniel B. Szyld, and
Longin Jan Latecki,
Diffusion on a Tensor Product Graph
for Semi-Supervised Learning and Interactive Image Segmentation,
June 2011.
To appear in
Advances in Imaging and Electron Physics, vol. 169, 2011.
Martin J. Gander,
Sébastien Loisel,
and Daniel B. Szyld,
An optimal block iterative method and preconditioner
for banded matrices with applications to PDEs on irregular domains,
Research Report 10-05-21, Department of Mathematics, Temple University,
May 2010.
Bibtex
Marlliny Monsalve
and Daniel B. Szyld,
Inexact Newton with Krylov projection and recycling for Riccati equations
Poster presented at the
2010 DOE Applied Mathematics Program Meeting,
Berkeley, Ca., 3-5 May 2010.
Hassane Sadok
and Daniel B. Szyld,
A new look at CMRH and its relation to GMRES,
Research Report 10-04-25, Department of Mathematics, Temple University,
April 2010.
To appear in
BIT Numerical Mathematics.
Bibtex
Olivier Dubois,
Martin J. Gander,
Sébastien Loisel,
Amik St-Cyr,
and Daniel B. Szyld,
The Optimized Schwarz Method with a Coarse Grid Correction,
Research Report 09-10-20, Department of Mathematics, Temple University,
October 2009. Revised February 2011.
Bibtex
Daniel B. Szyld and
Fei Xue,
Efficient preconditioned inner solves for inexact Rayleigh quotient iteration
and their connections to the single-vector Jacobi-Davidson method,
SIAM Journal on Matrix Analysis and Applications.
vol. 32 (2011) pp. 993-1018.
Bibtex
Abed Elhashash and Daniel B. Szyld,
Matrix functions preserving sets of generalized nonnegative
matrices,
Electronic Journal of Linear Algebra.
vol. 20 (2010) pp. 673-690.
Bibtex
Valeria Simoncini
and Daniel B. Szyld,
On the field of values of oblique projections,
Linear Algebra and its Applications,
vol. 433 (2010) pp. 810-818.
Bibtex
Valeria Simoncini
and Daniel B. Szyld,
Interpreting IDR as a Petrov-Galerkin method,
SIAM Journal on Scientific Computing,
vol. 32 (2010) pp. 1898-1912.
Bibtex
Sébastien Loisel and Daniel B. Szyld,
On the convergence of Algebraic Optimized Schwarz Methods with
applications to elliptic problems,
Research Report 07-11-16, Department of Mathematics, Temple University,
November 2007.
Numerische Mathematik,
vol. 114 (2010) pp. 697-728.
Bibtex
Abed Elhashash,
Uriel G. Rothblum, and Daniel B. Szyld,
Paths of matrices with the strong Perron-Frobenius
property converging to a given matrix with the
Perron-Frobenius property,
the
Electronic Journal of Linear Algebra,
vol. 19 (2009) pp. 90-97.
Bibtex
Abed Elhashash and Daniel B. Szyld,
Two Characterizations of Matrices with the Perron-Frobenius Property,
Numerical Linear Algebra with Applications,
vol. 16 (2009) pp. 863-869.
Bibtex
Sébastien Loisel and Daniel B. Szyld,
On the convergence of Optimized Schwarz Methods by
way of Matrix Analysis
,
Domain Decomposition Methods in Science and Engineering XVIII,
Michel Bercovier, Martin Gander, Ralf Kornhuber, and Olof B. Widlund, editors.
Lecture Notes in Computational Science and Engineering,
Vol. 70, Springer, 2009, pages 363-370.
Bibtex
Sébastien Loisel and Daniel B. Szyld,
A maximum principle for L2-trace norms with an application to
Optimized Schwarz Methods
,
Domain Decomposition Methods in Science and Engineering XVIII,
Michel Bercovier, Martin Gander, Ralf Kornhuber, and Olof B. Widlund, editors.
Lecture Notes in Computational Science and Engineering,
Vol. 70, Springer, 2009, pages 193-200.
Bibtex
Xiuhong Du, Eldad Haber,
Maria Karampataki, and Daniel B. Szyld,
Varying Iteration Accuracy
Using Inexact Conjugate Gradients
in Control Problems governed by PDE's
,
Research Report 08-06-27, Department of Mathematics, Temple University,
June 2008.
Bibtex
Abed Elhashash and Daniel B. Szyld,
On general matrices having the Perron-Frobenius property,
Electronic Journal of Linear Algebra,
vol. 17 (2008) pp. 389-413.
Bibtex
Andreas Frommer,
Reinhard Nabben, and Daniel B. Szyld,
Convergence of Stationary Iterative Methods for Hermitian
Semidefinite Linear Systems and Applications to Schwarz Methods
,
SIAM Journal on Matrix Analysis and Applications,
vol. 30 (2008) pp. 925-938.
Bibtex
Xiuhong Du
and Daniel B. Szyld,
Inexact GMRES for singular linear systems,
BIT Numerical Mathematics, vol. 48 (2008) pp. 511-531.
Bibtex
Sébastien Loisel,
Reinhard Nabben, and Daniel B. Szyld,
On hybrid multigrid-Schwarz algorithms
,
Journal of Scientific Computing, vol. 36 (2008) pp. 165-175.
Bibtex
Abed Elhashash and Daniel B. Szyld,
Generalizations of M-matrices which may not have a nonnegative inverse,
Linear Algebra and its Applications, vol. 249 (2008) 2435-2450.
Bibtex
Valeria Simoncini
and Daniel B. Szyld,
New conditions for non-stagnation
of minimal residual methods ,
Numerische Mathematik, vol. 109 (2008) pp. 477-487.
Bibtex
Xiuhong Du
and Daniel B. Szyld,
A note on the mesh independence of convergence bounds for
additive Schwarz preconditioned GMRES,
Numerical Linear Algebra with Applications, vol. 15 (2008)
pp. 547-557.
Bibtex
David Fritzsche,
Volker Mehrmann ,
Daniel B. Szyld, and
Elena Virnik,
An SVD approach to identifying meta-stable states of Markov chains,
Electronic Transactions on Numerical Analysis, vol. 29 (2008) pp. 46-69.
Bibtex
Josep Arnal,
Violeta Migallón,
José Penadés, and Daniel B. Szyld,
Newton Additive and Multiplicative
Schwarz Iterative Methods ,
IMA Journal of Numerical Analysis, vol. 28 (2008) pp. 143-161.
Bibtex
David Fritzsche,
Andreas Frommer,
and Daniel B. Szyld,
Extensions of Certain Graph-based Algorithms or Preconditioning ,
SIAM Journal on Scientific Computing, vol. 29 (2007) pp. 2144-2161.
Bibtex
Marcus Sarkis and and Daniel B. Szyld,
Optimal Left and Right Additive Schwarz Preconditioning for
Minimal Residual Methods with Euclidean and Energy Norms ,
Computer Methods in Applied Mechanics and Engineering,
vol. 196 (2007) pp.1612-1621.
Bibtex
Valeria Simoncini
and Daniel B. Szyld,
Recent computational developments
in Krylov Subspace Methods for linear systems
,
Numerical Linear Algebra with Applications,
vol. 14 (2007) pp. 1-59.
Bibtex
Reinhard Nabben and Daniel B. Szyld,
Schwarz iterations for symmetric positive semidefinite
problems ,
SIAM Journal on Matrix Analysis and Applications.
vol. 29 (2006) pp. 98-116.
Bibtex
Daniel B. Szyld,
The Many Proofs of an Identity on the Norm of Oblique Projections ,
Numerical Algorithms, vol. 42 (2006) pp.309-323.
Bibtex
Rafael Bru,
Francisco Pedroche,
and Daniel B. Szyld,
Subdirect Sums of S-Strictly Diagonally Dominant Matrices ,
Electronic Journal of Linear Algebra
vol. 15 (2006) pp. 201-209.
Bibtex
Giorgos Kollias,
Efstratios Gallopoulos,
and Daniel B. Szyld.
Asynchronous iterative computations with Web information retrieval
structures: The PageRank case.
Parallel Computing: Current and Future Issues of High-End Computing
(Proceedings of the International Conference
Parco05), G.R. Joubert, W.E. Nagel, F.J. Peters, O. Plata, P. Tirado, E. Zapata, eds.,
John von Neumann-Institut for Computing (NIC), Julich, Germany,
NIC Series Volume 33 (ISBN 3-00-017352-8),
pages 309-316, 2006.
Bibtex
Marcus Sarkis and and Daniel B. Szyld,
A Proposal for a Dynamically Adapted Inexact
Additive Schwarz Preconditioner,
Domain Decomposition Methods in Science and Engineering XVI
, Olof Widlund and David Keyes (eds.),
Lecture Notes in Computational Science and Engineering, vol. 55, Springer, 2006,
pp. 341-345.
Bibtex
Rafael Bru,
Francisco Pedroche,
and Daniel B. Szyld,
Subdirect sums of nonsingular
M-matrices and of their inverses
,
Electronic Journal of Linear Algebra,
vol. 13 (2005) pp. 162-174.
Bibtex
Valeria Simoncini
and Daniel B. Szyld,
Relaxed Krylov Subspace Approximation,
PAMM: Proceedings of Applied Mathematics and Mechanics,
vol. 5 (2005) pp. 797-800.
Bibtex
Rafael Bru,
Francisco Pedroche,
and Daniel B. Szyld,
Cálculo del
Vector PageRank de Google Mediante el método Iterativo de Schwarz
(Computation of Google's PageRank Vector with the Schwarz Iterative Method,
in Spanish).
In Congreso de Métodos Numéricos en Ingeniería 2005.
(Proceedings of the Congress on Numerical Methodos in
Engeneering, Granada, Spain, July 2005)
J.L. Pérez Aparicio et al. (eds.) pp. 263-270.
Bibtex
Rafael Bru,
Francisco Pedroche,
and Daniel B. Szyld,
Additive Schwarz Iterations for Markov Chains ,
SIAM Journal on Matrix Analysis and Applications,
vol. 27 (2005) pp. 445-458.
Bibtex
Valeria Simoncini
and Daniel B. Szyld,
The effect of non-optimal bases on
the convergence of Krylov Subspace Methods ,
(Research Report June 2004, revised December 2004).
Numerische Mathematik, vol. 100 (2005) pp. 711-733.
Journal version.
Bibtex
Valeria Simoncini
and Daniel B. Szyld,
On the Occurrence of Superlinear Convergence of Exact
and Inexact Krylov Subspace Methods,
SIAM Review, vol. 47 (2005) pp. 247-272.
Bibtex
Rafael Bru,
Francisco Pedroche,
and Daniel B. Szyld,
Overlapping Additive and Multiplicative Schwarz
Iterations for H-matrices,
Linear Algebra and its Applications, vol. 393 (2004), pp. 91-105.
Bibtex
Ivo Marek and Daniel B. Szyld,
Algebraic Schwarz Methods for the
Numerical Solution of Markov Chains,
Linear Algebra and its Applications, vol. 386 (2004), pp. 67-81.
Bibtex
Valeria Simoncini
and Daniel B. Szyld,
Theory of Inexact Krylov Subspace Methods and Applications
to Scientific Computing,
in
SIAM Journal on Scientific Computing, vol. 25 (2003), pp. 454-477.
Bibtex
Valeria Simoncini
and Daniel B. Szyld,
Flexible Inner-Outer Krylov Subspace Methods,
SIAM Journal on Numerical Analysis, vol. 40 (2003), pp. 2219-2239.
Bibtex
Reinhard Nabben and Daniel B. Szyld,
Convergence theory of restricted multiplicative Schwarz
methods,
SIAM Journal on Numerical Analysis, vol. 40 (2003), pp. 2318-2336.
Bibtex
Ludwig Elsner,
Andreas Frommer,
Reinhard Nabben,
Hans Schneider,
and Daniel B. Szyld,
Conditions for strict inequality in comparisons of spectral
radii of splittings of different matrices,
Linear Algebra and its Applications, vol. 363 (2003) pp. 65-80.
Bibtex
Daniel B. Szyld and Ivo Marek,
Comparison of Convergence of General Stationary
Iterative Methods for Singular Matrices,
SIAM Journal on Matrix Analysis and Applications,
vol. 24 (2002) pp. 68-77.
Bibtex
Daniel B. Szyld and Judith A. Vogel,
A Flexible Quasi-Minimal Residual Method with Inexact Preconditioning ,
SIAM Journal on Scientific Computing, vol. 23 (2001) pp. 363-380.
Bibtex
Daniel B. Szyld,
Perspectives on Asynchronous Computations for
Fluid Flow Problems,
Proceedings of the
First M.I.T.
Conference on Computational Fluid and Solid Mechanics
held on June 12 - 14, 2001:
Computational Fluid and Solid Mechanics, K.J.Bathe, ed.
Elsevier, 2001, pp 977-980.
Bibtex
Andreas Frommer and Daniel B. Szyld,
An Algebraic Convergence Theory for Restricted Additive
Schwarz Methods Using Weighted Max Norms,
SIAM Journal on Numerical Analysis,
vol. 39 (2001) pp. 463-479.
Bibtex
Michele Benzi,
Andreas Frommer,
Reinhard Nabben,
and Daniel B. Szyld,
Algebraic Theory of Multiplicative Schwarz
Methods,
Numerische Mathematik, vol. 89 (2001) pp. 605-639.
Bibtex
Violeta Migallón,
José Penadés, and Daniel B. Szyld,
Nonstationary Multisplittings
with General Weighting Matrices,
SIAM Journal on Matrix Analysis and Applications,
vol. 22 (2001) pp. 1089-1094.
Bibtex
Daniel B. Szyld and Jian-Jun Xu,
Convergence of Some Asynchronous Nonlinear Multisplitting Methods ,
Numerical Algorithms ,
vol. 25 (2000) pp. 347-361.
Bibtex
Andreas Frommer and Daniel B. Szyld,
On Asynchronous Iterations,
Journal of Computational and Applied Mathematics ,
vol. 23 (2000), pp. 201-216.
Bibtex
Daniel B. Szyld and Ivo Marek,
Comparison Theorems for the Convergence Factor of
Iterative Methods for Singular Matrices,
Linear Algebra and its Applications., vol. 316 (2000)
67-87.
Bibtex
Violeta Migallón,
José Penadés and Daniel B. Szyld,
Experimental Study of Parallel Iterative Solutions
of Markov Chains with
Block Partitions,
Research Report 99-2-10, Department of Mathematics,
Temple University, Febrauary 1999.
Appeared (in revised form) in
Numerical Solutions of Markov Chains (NSMC'99),
Brigitte Plateau,
William J. Stewart,
and Manuel Silva, eds., Prensas Universitarias de Zaragoza, 1999,
pp. 96-110.
Bibtex
Andreas Frommer and Daniel B. Szyld,
Weighted Max Norms, Splittings,
and Overlapping Additive Schwarz Iterations,
Numerische Mathematik vol. 83 (1999) 259-278.
Bibtex
Michele Benzi, Daniel B. Szyld, and Arno van Duin,
Orderings for Incomplete Factorization Preconditioning of
Nonsymmetric Problems,
SIAM Journal on Scientific Computing vol. 20 (1999)
1652-1670.
Bibtex
Zhong-Zhi Bai,
Violeta Migallón,
José Penadés and Daniel B. Szyld,
Block and Asynchronous Two-stage Methods for Mildly Nonlinear Systems,
Numerische Mathematik, vol. 82 (1999) 1-20.
Bibtex
Kostas Blathras, Daniel B. Szyld and
Yuan Shi,
Timing Models and Local Stopping Criteria for Asynchronous
Iterative Algortihms , Journal of Parallel and Distributed
Computing, vol. 58 (1999) 446-465.
Bibtex
Daniel B. Szyld,
The Mystery of Asynchronous Iterations Convergence
when the Spectral Radius is One,
Research Report 98-102, Department of Mathematics,
Temple University,
October 1998.
Bibtex
Daniel B. Szyld,
Different Models of Parallel Asynchronous Iterations
with Overlapping Blocks,
Computational and Applied Mathematics,
vol. 17 (1998) 101-115.
Bibtex
Andreas Frommer and Daniel B. Szyld,
Asynchronous Iterations with Flexible Communication for Linear
Systems,
Calculateurs Parallèles,
Réseaux et Systèmes Répartis,
vol. 10 (1998) 421-429.
Bibtex
Michele Benzi, Hwajeong Choi and Daniel B. Szyld,
Threshold Ordering for Preconditioning Nonsymmetric Problems,
Scientific Computing,
Proceedings of the Workshop, 10-12 March 1997, Hong Kong,
Springer, Singapore, 1997.
pages 159-165.
Bibtex
Andreas Frommer, Hartmut Schwandt and Daniel B. Szyld,
Asynchronous Weighted Additive Schwarz Methods,
Electronic Transaction on Numerical Analysis,
vol. 5 (1997) 48-61.
Bibtex
Michele Benzi and Daniel B. Szyld,
Existence and Uniqueness of Splittings for Stationary Iterative Methods
with Applications to Alternating Methods,
Numerische Mathematik vol. 76 (1997) 309-321.
Bibtex
Hwajeong Choi and Daniel B. Szyld,
Application of
Threshold Partitioning of Sparse Matrices to Markov Chains,
Proceedings of the IEEE International
Computer Performance and Dependability Symposium IPDS'96,
pages 158-165, September 1996.
Bibtex
Violeta Migallón,
José Penadés
and Daniel B. Szyld,
Block Two-stage Methods for Singular Systems and Markov Chains,
Research Report 95-121, Department of Mathematics,
Temple University, December 1995.
This paper appeared, in revised form, in
Numerical Linear Algebra with Applications,
vol. 3 (1996) 413-426.
Bibtex
Daniel B. Szyld and
Olof B. Widlund,
Variational Analysis of Some Conjugate Gradient Methods,
East-West Journal of Numerical Mathematics,
vol. 1 (1993) 51-74.
Bibtex
Other Papers.
There is another page with papers by subject.
Complete list of publications can be found in the CV (Temple format)
Back to Szyld's home page.
Last updated: 11 November 2010.