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Szyld, Daniel B.

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Author ID: szyld.daniel-b Recent zbMATH articles by "Szyld, Daniel B."
Published as: Szyld, D. B.; Szyld, Daniel; Szyld, Daniel B.
External Links: ORCID
Documents Indexed: 119 Publications since 1979
all top 5

Co-Authors

10 single-authored
17 Frommer, Andreas
12 Simoncini, Valeria
9 Marek, Ivo
9 Xue, Fei
8 Nabben, Reinhard
6 Loisel, Sébastien
6 Migallón, Violeta
6 Penadés, José
5 Bru, Rafael
5 Elhashash, Abed
4 Benzi, Michele
4 Du, Xiuhong
4 Magoulès, Frédéric
4 Pedroche, Francisco
3 Fritzsche, David
3 Gander, Martin Jakob
3 Garay, José C.
3 Lund, Kathryn
3 Sarkis, Marcus V.
2 Bai, Zhongzhi
2 Greif, Chen
2 Jones, Mark T.
2 Ladenheim, Scott
2 Rees, Tyrone
2 Rothblum, Uriel George
2 Sadok, Hassane
2 Shank, Stephen D.
2 Soodhalter, Kirk M.
1 Ahmad, Mian Ilyas
1 Arnal, Josep
1 Bakhos, Tania
1 Boman, Erik G.
1 Brenner, Susanne Cecelia
1 Cai, Xiao-Chuan
1 Cain, Bryan E.
1 Chidyagwai, Prince
1 Choi, Hwajeong
1 Chow, Edmond G. W.
1 Cvetković, Ljiljana
1 Datta, Biswa Ranjan
1 Dubois, Olivier
1 Duchin, Faye
1 Duminil, Sébastien
1 Echeverria, Carlos
1 El Haddad, Mireille
1 Elsner, Ludwig F.
1 Embree, Mark
1 Glusa, Christian
1 Goldberg, Moshe
1 Haber, Eldad
1 Karampataki, Maria
1 Kehl, René
1 Kitanidis, Peter K.
1 Klawonn, Axel
1 Kolotilina, Lily Yu.
1 Laayouni, Lahcen
1 Lanzkron, Paul J.
1 Liesen, Jörg
1 Mas, José
1 Mehrmann, Volker
1 Monsalve, Marlliny
1 O’Neil, James
1 Pantazis, Ricardo D.
1 Primak, Mordukh E.
1 Rajamanickam, Sivasankaran
1 Ramlau, Ronny
1 Rose, Donald J.
1 Saibaba, Arvind Krishna
1 Schaerer, Christian E.
1 Schneider, Hans
1 Schwandt, Hartmut
1 Schweitzer, Marcel
1 Shader, Bryan L.
1 Shaked-Monderer, Naomi
1 Sifuentes, Josef A.
1 St-Cyr, Amik
1 Sun, Jiachang
1 Tichý, Petr
1 van Duin, Arno C. N.
1 Van Gijzen, Martin Bastiaan
1 Vecharynski, Eugene
1 Venet, Cédric
1 Virnik, Elena
1 Vogel, Judith A.
1 Widlund, Olof B.
1 Xu, Jianjun

Publications by Year

Citations contained in zbMATH

108 Publications have been cited 1,356 times in 849 Documents Cited by Year
Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112
Simoncini, Valeria; Szyld, Daniel B.
101
2007
\(H\)-splittings and two-stage iterative methods. Zbl 0764.65018
Frommer, Andreas; Szyld, Daniel B.
85
1992
Convergence of nested classical iterative methods for linear systems. Zbl 0718.65022
Lanzkron, Paul J.; Rose, Donald J.; Szyld, Daniel B.
55
1991
Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032
Simoncini, Valeria; Szyld, Daniel B.
50
2003
Comparison theorems for weak splittings of bounded operators. Zbl 0694.65023
Marek, Ivo; Szyld, Daniel B.
46
1990
The many proofs of an identity on the norm of oblique projections. Zbl 1102.47002
Szyld, Daniel B.
43
2006
Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048
Benzi, Michele; Szyld, Daniel B.
43
1997
Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033
Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N.
41
1999
Two-stage and multisplitting methods for the parallel solution of linear systems. Zbl 0754.65037
Szyld, Daniel B.; Jones, Mark T.
41
1992
Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037
Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B.
34
2001
Weighted max norms, splittings, and overlapping additive Schwarz iterations. Zbl 0934.65035
Frommer, Andreas; Szyld, Daniel B.
32
1999
Flexible inner-outer Krylov subspace methods. Zbl 1047.65021
Simoncini, Valeria; Szyld, Daniel B.
31
2003
On asynchronous iterations. Zbl 0967.65066
Frommer, Andreas; Szyld, Daniel B.
31
2000
An algebraic convergence theory for restricted additive Schwarz methods using weighted max norms. Zbl 1006.65031
Frommer, Andreas; Szyld, Daniel B.
25
2001
Parallel, synchronous and asynchronous two-stage multisplitting methods. Zbl 0856.65024
Bru, Rafael; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
25
1995
Asynchronous two-stage iterative methods. Zbl 0821.65010
Frommer, Andreas; Szyld, Daniel B.
25
1994
On two numerical methods for the solution of large-scale algebraic Riccati equations. Zbl 1298.65083
Simoncini, Valeria; Szyld, Daniel B.; Monsalve, Marlliny
23
2014
Krylov subspace recycling for sequences of shifted linear systems. Zbl 1291.65108
Soodhalter, Kirk M.; Szyld, Daniel B.; Xue, Fei
22
2014
On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034
Simoncini, Valeria; Szyld, Daniel B.
21
2005
Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems. Zbl 1259.65077
Szyld, Daniel B.; Xue, Fei
19
2013
The optimized Schwarz method with a coarse grid correction. Zbl 1248.65127
Dubois, Olivier; Gander, Martin J.; Loisel, Sébastien; St-Cyr, Amik; Szyld, Daniel B.
19
2012
Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems. Zbl 1288.65093
Du, Xiuhong; Sarkis, Marcus; Schaerer, Christian E.; Szyld, Daniel B.
16
2013
FQMR: A flexible quasi-minimal residual method with inexact preconditioning. Zbl 0997.65062
Szyld, Daniel B.; Vogel, Judith A.
16
2001
Block and asynchronous two-stage methods for mildly nonlinear systems. Zbl 0941.65047
Bai, Zhongzhi; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
16
1999
Nonstationary parallel relaxed multisplitting methods. Zbl 0857.65035
Mas, José; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
16
1996
Splittings of M-operators: Irreducibility and the index of the iteration operator. Zbl 0714.65059
Marek, Ivo; Szyld, Daniel B.
16
1990
Preconditioned multishift BiCG for \(\mathcal{H}_2\)-optimal model reduction. Zbl 1365.65080
Ahmad, Mian Ilyas; Szyld, Daniel B.; van Gijzen, Martin B.
15
2017
Criteria for combining inverse and Rayleigh quotient iteration. Zbl 0665.65031
Szyld, Daniel B.
15
1988
Block Krylov subspace methods for functions of matrices. Zbl 1372.65138
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B.
14
2017
On general matrices having the Perron-Frobenius property. Zbl 1156.15009
Elhashash, Abed; Szyld, Daniel B.
14
2008
Nonstationary multisplittings with general weighting matrices. Zbl 0982.65032
Migallón, Violeta; Penadés, José; Szyld, Daniel B.
14
2001
Efficient preconditioned inner solves for inexact Rayleigh quotient iteration and their connections to the single-vector Jacobi-Davidson method. Zbl 1238.65028
Szyld, Daniel B.; Xue, Fei
13
2011
Equivalence of conditions for convergence of iterative methods for singular equations. Zbl 0837.65057
Szyld, Daniel B.
13
1994
A new look at CMRH and its relation to GMRES. Zbl 1247.65045
Sadok, Hassane; Szyld, Daniel B.
12
2012
Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039
Simoncini, Valeria; Szyld, Daniel B.
12
2010
Optimal left and right additive Schwarz preconditioning for minimal residual methods with Euclidean and energy norms. Zbl 1173.65366
Sarkis, Marcus; Szyld, Daniel B.
12
2007
Block two-stages methods for singular systems and Markov chains. Zbl 0906.65037
Migallón, Violeta; Penadés, José; Szyld, Daniel B.
12
1996
Additive Schwarz iterations for Markov chains. Zbl 1097.65047
Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B.
11
2005
Two-stage multisplitting methods with overlapping blocks. Zbl 0856.65023
Jones, Mark T.; Szyld, Daniel B.
11
1996
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I: Extreme eigenvalues. Zbl 1344.65045
Szyld, Daniel B.; Xue, Fei
10
2016
Convergence theory of restricted multiplicative Schwarz methods. Zbl 1040.65031
Nabben, Reinhard; Szyld, Daniel B.
10
2003
Asynchronous weighted additive Schwarz methods. Zbl 0890.65027
Frommer, Andreas; Schwandt, Hartmut; Szyld, Daniel B.
10
1997
A block ordering method for sparse matrices. Zbl 0706.65021
O’Neil, James; Szyld, Daniel B.
10
1990
Conditions for the existence of a balanced growth solution for the Leontief dynamic input-output model. Zbl 0585.90018
Szyld, Daniel B.
10
1985
Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078
Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B.
9
2016
On the geometric convergence of optimized Schwarz methods with applications to elliptic problems. Zbl 1189.65275
Loisel, Sébastien; Szyld, Daniel B.
9
2010
Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices. Zbl 1018.65049
Elsner, Ludwig; Frommer, Andreas; Nabben, Reinhard; Schneider, Hans; Szyld, Daniel B.
9
2003
An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domains. Zbl 1252.65068
Gander, Martin J.; Loisel, Sébastien; Szyld, Daniel B.
8
2012
Generalizations of \(M\)-matrices which may not have a nonnegative inverse. Zbl 1153.15025
Elhashash, Abed; Szyld, Daniel B.
8
2008
New conditions for non-stagnation of minimal residual methods. Zbl 1151.65026
Simoncini, Valeria; Szyld, Daniel B.
8
2008
Subdirect sums of \(S\)-strictly diagonally dominant matrices. Zbl 1142.15307
Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B.
8
2006
Subdirect sums of nonsingular \(M\)-matrices and of their inverses. Zbl 1094.15008
Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B.
8
2005
Algebraic Schwarz methods for the numerical solution of Markov chains. Zbl 1050.65030
Marek, Ivo; Szyld, Daniel B.
8
2004
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms. Zbl 1309.65059
Szyld, Daniel B.; Xue, Fei
7
2015
Several properties of invariant pairs of nonlinear algebraic eigenvalue problems. Zbl 1297.65057
Szyld, Daniel B.; Xue, Fei
7
2014
Overlapping additive and multiplicative Schwarz iterations for \(H\)-matrices. Zbl 1066.65036
Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B.
7
2004
Comparison theorems for the convergence factor of iterative methods for singular matrices. Zbl 0963.65036
Marek, Ivo; Szyld, Daniel B.
7
2000
Iterative and semi-iterative methods for computing stationary probability vectors of Markov operators. Zbl 0788.65142
Marek, Ivo; Szyld, Daniel B.
7
1993
A sequence of lower bounds for the spectral radius of nonnegative matrices. Zbl 0758.15013
Szyld, Daniel B.
7
1992
Multipreconditioned GMRES for shifted systems. Zbl 1392.65043
Bakhos, Tania; Kitanidis, Peter K.; Ladenheim, Scott; Saibaba, Arvind K.; Szyld, Daniel B.
6
2017
Convergence of stationary iterative methods for Hermitian semidefinite linear systems and applications to Schwarz methods. Zbl 1165.65012
Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B.
6
2008
Schwarz iterations for symmetric positive semidefinite problems. Zbl 1140.65027
Nabben, Reinhard; Szyld, Daniel B.
6
2006
The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022
Simoncini, Valeria; Szyld, Daniel B.
6
2005
Asynchronous optimized Schwarz methods with and without overlap. Zbl 1382.65449
Magoulès, Frédéric; Szyld, Daniel B.; Venet, Cédric
5
2017
Constraint preconditioning for the coupled Stokes-Darcy system. Zbl 1382.76162
Chidyagwai, Prince; Ladenheim, Scott; Szyld, Daniel B.
5
2016
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. II. Interior eigenvalues. Zbl 1329.65108
Szyld, Daniel B.; Vecharynski, Eugene; Xue, Fei
5
2015
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms. Zbl 1309.65060
Szyld, Daniel B.; Xue, Fei
5
2015
Newton additive and multiplicative Schwarz iterative methods. Zbl 1137.65033
Arnal, Josep; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
5
2008
Comparison of convergence of general stationary iterative methods for singular matrices. Zbl 1018.65041
Marek, Ivo; Szyld, Daniel B.
5
2002
GMRES with multiple preconditioners. Zbl 1383.65026
Greif, Chen; Rees, Tyrone; Szyld, Daniel B.
4
2017
Nonlinear Schwarz iterations with reduced rank extrapolation. Zbl 1325.65170
Duminil, Sébastien; Sadok, Hassane; Szyld, Daniel B.
4
2015
Additive Schwarz with variable weights. Zbl 1382.65085
Greif, Chen; Rees, Tyrone; Szyld, Daniel B.
4
2014
Two characterizations of matrices with the Perron-Frobenius property. Zbl 1224.15064
Elhashash, Abed; Szyld, Daniel B.
4
2009
On hybrid multigrid-Schwarz algorithms. Zbl 1203.65072
Loisel, Sébastien; Nabben, Reinhard; Szyld, Daniel B.
4
2008
Inexact GMRES for singular linear systems. Zbl 1161.65024
Du, Xiuhong; Szyld, Daniel B.
4
2008
Local convergence of the (exact and inexact) iterative aggregation method for linear systems and Markov operators. Zbl 0822.65019
Marek, Ivo; Szyld, Daniel B.
4
1994
Short-term recurrence Krylov subspace methods for nearly Hermitian matrices. Zbl 1253.65042
Embree, Mark; Sifuentes, Josef A.; Soodhalter, Kirk M.; Szyld, Daniel B.; Xue, Fei
3
2012
An algebraic convergence theory for restricted additive and multiplicative Schwarz methods. Zbl 1026.65022
Frommer, A.; Nabben, R.; Szyld, D. B.
3
2002
Different models of parallel asynchronous iterations with overlapping blocks. Zbl 0963.65035
Szyld, Daniel B.
3
1998
Regions of convergence of the Rayleigh quotient iteration method. Zbl 0831.65041
Pantazis, Ricardo D.; Szyld, Daniel B.
3
1995
On necessary conditions for convergence of stationary iterative methods for Hermitian semidefinite linear systems. Zbl 1320.65049
Frommer, Andreas; Szyld, Daniel B.
2
2014
Nearly positive matrices. Zbl 1302.15044
Shader, Bryan; Shaked-Monderer, Naomi; Szyld, Daniel B.
2
2014
Paths of matrices with the strong Perron-Frobenius property converging to a given matrix with the Perron-Frobenius property. Zbl 1190.15035
Elhashash, Abed; Rothblum, Uriel G.; Szyld, Daniel B.
2
2009
On the convergence of optimized Schwarz methods by way of matrix analysis. Zbl 1183.65136
Loisel, Sébastien; Szyld, Daniel B.
2
2009
An SVD approach to identifying metastable states of Markov chains. Zbl 1171.15008
Fritzsche, David; Mehrmann, Volker; Szyld, Daniel B.; Virnik, Elena
2
2008
Synchronous and asynchronous two-stage multisplitting methods. Zbl 0819.65039
Szyld, Daniel B.
2
1994
Pseudoirreducible and pseudoprimitive bounded operators. Zbl 0731.65042
Marek, Ivo; Szyld, Daniel B.
2
1991
Block Krylov subspace methods for functions of matrices. II: Modified block FOM. Zbl 1441.65051
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B.
1
2020
Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains. Zbl 07177904
El Haddad, Mireille; Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B.
1
2020
Optimized Schwarz method for Poisson’s equation in rectangular domains. Zbl 1450.65161
Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B.
1
2018
Convergence of asynchronous optimized Schwarz methods in the plane. Zbl 1450.65160
Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B.
1
2018
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh. Zbl 1390.15072
Echeverría, Carlos; Liesen, Jörg; Szyld, Daniel B.; Tichý, Petr
1
2018
The Radau-Lanczos method for matrix functions. Zbl 1371.65042
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B.
1
2017
On the performance of the algebraic optimized Schwarz methods with applications. Zbl 1304.65121
Laayouni, Lahcen; Szyld, Daniel B.
1
2014
Preface. Dedicated to Lothar Reichel on the occasion of his sixtieth birthday. Zbl 1298.00344
Ramlau, Ronny (ed.); Szyld, Daniel B. (ed.)
1
2014
On the superlinear convergence of MINRES. Zbl 1267.65040
Simoncini, V.; Szyld, D. B.
1
2013
Overlapping blocks by growing a partition with applications to preconditioning. Zbl 1268.65044
Fritzsche, David; Frommer, Andreas; Shank, Stephen D.; Szyld, Daniel B.
1
2013
On the field of values of oblique projections. Zbl 1195.47003
Simoncini, Valeria; Szyld, Daniel B.
1
2010
A maximum principle for \(L^2\)-trace norms with an application to optimized Schwarz methods. Zbl 1183.65164
Loisel, Sébastien; Szyld, Daniel B.
1
2009
A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES. Zbl 1212.65417
Du, X.; Szyld, D. B.
1
2008
Block Krylov subspace methods for functions of matrices. II: Modified block FOM. Zbl 1441.65051
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B.
1
2020
Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains. Zbl 07177904
El Haddad, Mireille; Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B.
1
2020
Optimized Schwarz method for Poisson’s equation in rectangular domains. Zbl 1450.65161
Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B.
1
2018
Convergence of asynchronous optimized Schwarz methods in the plane. Zbl 1450.65160
Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B.
1
2018
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh. Zbl 1390.15072
Echeverría, Carlos; Liesen, Jörg; Szyld, Daniel B.; Tichý, Petr
1
2018
Preconditioned multishift BiCG for \(\mathcal{H}_2\)-optimal model reduction. Zbl 1365.65080
Ahmad, Mian Ilyas; Szyld, Daniel B.; van Gijzen, Martin B.
15
2017
Block Krylov subspace methods for functions of matrices. Zbl 1372.65138
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B.
14
2017
Multipreconditioned GMRES for shifted systems. Zbl 1392.65043
Bakhos, Tania; Kitanidis, Peter K.; Ladenheim, Scott; Saibaba, Arvind K.; Szyld, Daniel B.
6
2017
Asynchronous optimized Schwarz methods with and without overlap. Zbl 1382.65449
Magoulès, Frédéric; Szyld, Daniel B.; Venet, Cédric
5
2017
GMRES with multiple preconditioners. Zbl 1383.65026
Greif, Chen; Rees, Tyrone; Szyld, Daniel B.
4
2017
The Radau-Lanczos method for matrix functions. Zbl 1371.65042
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B.
1
2017
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I: Extreme eigenvalues. Zbl 1344.65045
Szyld, Daniel B.; Xue, Fei
10
2016
Efficient low-rank solution of generalized Lyapunov equations. Zbl 1348.65078
Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B.
9
2016
Constraint preconditioning for the coupled Stokes-Darcy system. Zbl 1382.76162
Chidyagwai, Prince; Ladenheim, Scott; Szyld, Daniel B.
5
2016
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms. Zbl 1309.65059
Szyld, Daniel B.; Xue, Fei
7
2015
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. II. Interior eigenvalues. Zbl 1329.65108
Szyld, Daniel B.; Vecharynski, Eugene; Xue, Fei
5
2015
Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms. Zbl 1309.65060
Szyld, Daniel B.; Xue, Fei
5
2015
Nonlinear Schwarz iterations with reduced rank extrapolation. Zbl 1325.65170
Duminil, Sébastien; Sadok, Hassane; Szyld, Daniel B.
4
2015
On two numerical methods for the solution of large-scale algebraic Riccati equations. Zbl 1298.65083
Simoncini, Valeria; Szyld, Daniel B.; Monsalve, Marlliny
23
2014
Krylov subspace recycling for sequences of shifted linear systems. Zbl 1291.65108
Soodhalter, Kirk M.; Szyld, Daniel B.; Xue, Fei
22
2014
Several properties of invariant pairs of nonlinear algebraic eigenvalue problems. Zbl 1297.65057
Szyld, Daniel B.; Xue, Fei
7
2014
Additive Schwarz with variable weights. Zbl 1382.65085
Greif, Chen; Rees, Tyrone; Szyld, Daniel B.
4
2014
On necessary conditions for convergence of stationary iterative methods for Hermitian semidefinite linear systems. Zbl 1320.65049
Frommer, Andreas; Szyld, Daniel B.
2
2014
Nearly positive matrices. Zbl 1302.15044
Shader, Bryan; Shaked-Monderer, Naomi; Szyld, Daniel B.
2
2014
On the performance of the algebraic optimized Schwarz methods with applications. Zbl 1304.65121
Laayouni, Lahcen; Szyld, Daniel B.
1
2014
Preface. Dedicated to Lothar Reichel on the occasion of his sixtieth birthday. Zbl 1298.00344
Ramlau, Ronny (ed.); Szyld, Daniel B. (ed.)
1
2014
Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems. Zbl 1259.65077
Szyld, Daniel B.; Xue, Fei
19
2013
Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems. Zbl 1288.65093
Du, Xiuhong; Sarkis, Marcus; Schaerer, Christian E.; Szyld, Daniel B.
16
2013
On the superlinear convergence of MINRES. Zbl 1267.65040
Simoncini, V.; Szyld, D. B.
1
2013
Overlapping blocks by growing a partition with applications to preconditioning. Zbl 1268.65044
Fritzsche, David; Frommer, Andreas; Shank, Stephen D.; Szyld, Daniel B.
1
2013
The optimized Schwarz method with a coarse grid correction. Zbl 1248.65127
Dubois, Olivier; Gander, Martin J.; Loisel, Sébastien; St-Cyr, Amik; Szyld, Daniel B.
19
2012
A new look at CMRH and its relation to GMRES. Zbl 1247.65045
Sadok, Hassane; Szyld, Daniel B.
12
2012
An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domains. Zbl 1252.65068
Gander, Martin J.; Loisel, Sébastien; Szyld, Daniel B.
8
2012
Short-term recurrence Krylov subspace methods for nearly Hermitian matrices. Zbl 1253.65042
Embree, Mark; Sifuentes, Josef A.; Soodhalter, Kirk M.; Szyld, Daniel B.; Xue, Fei
3
2012
Efficient preconditioned inner solves for inexact Rayleigh quotient iteration and their connections to the single-vector Jacobi-Davidson method. Zbl 1238.65028
Szyld, Daniel B.; Xue, Fei
13
2011
Interpreting IDR as a Petrov-Galerkin method. Zbl 1219.65039
Simoncini, Valeria; Szyld, Daniel B.
12
2010
On the geometric convergence of optimized Schwarz methods with applications to elliptic problems. Zbl 1189.65275
Loisel, Sébastien; Szyld, Daniel B.
9
2010
On the field of values of oblique projections. Zbl 1195.47003
Simoncini, Valeria; Szyld, Daniel B.
1
2010
Two characterizations of matrices with the Perron-Frobenius property. Zbl 1224.15064
Elhashash, Abed; Szyld, Daniel B.
4
2009
Paths of matrices with the strong Perron-Frobenius property converging to a given matrix with the Perron-Frobenius property. Zbl 1190.15035
Elhashash, Abed; Rothblum, Uriel G.; Szyld, Daniel B.
2
2009
On the convergence of optimized Schwarz methods by way of matrix analysis. Zbl 1183.65136
Loisel, Sébastien; Szyld, Daniel B.
2
2009
A maximum principle for \(L^2\)-trace norms with an application to optimized Schwarz methods. Zbl 1183.65164
Loisel, Sébastien; Szyld, Daniel B.
1
2009
On general matrices having the Perron-Frobenius property. Zbl 1156.15009
Elhashash, Abed; Szyld, Daniel B.
14
2008
Generalizations of \(M\)-matrices which may not have a nonnegative inverse. Zbl 1153.15025
Elhashash, Abed; Szyld, Daniel B.
8
2008
New conditions for non-stagnation of minimal residual methods. Zbl 1151.65026
Simoncini, Valeria; Szyld, Daniel B.
8
2008
Convergence of stationary iterative methods for Hermitian semidefinite linear systems and applications to Schwarz methods. Zbl 1165.65012
Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B.
6
2008
Newton additive and multiplicative Schwarz iterative methods. Zbl 1137.65033
Arnal, Josep; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
5
2008
On hybrid multigrid-Schwarz algorithms. Zbl 1203.65072
Loisel, Sébastien; Nabben, Reinhard; Szyld, Daniel B.
4
2008
Inexact GMRES for singular linear systems. Zbl 1161.65024
Du, Xiuhong; Szyld, Daniel B.
4
2008
An SVD approach to identifying metastable states of Markov chains. Zbl 1171.15008
Fritzsche, David; Mehrmann, Volker; Szyld, Daniel B.; Virnik, Elena
2
2008
A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES. Zbl 1212.65417
Du, X.; Szyld, D. B.
1
2008
Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112
Simoncini, Valeria; Szyld, Daniel B.
101
2007
Optimal left and right additive Schwarz preconditioning for minimal residual methods with Euclidean and energy norms. Zbl 1173.65366
Sarkis, Marcus; Szyld, Daniel B.
12
2007
Extensions of certain graph-based algorithms for preconditioning. Zbl 1149.65033
Fritzsche, David; Frommer, Andreas; Szyld, Daniel B.
1
2007
The many proofs of an identity on the norm of oblique projections. Zbl 1102.47002
Szyld, Daniel B.
43
2006
Subdirect sums of \(S\)-strictly diagonally dominant matrices. Zbl 1142.15307
Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B.
8
2006
Schwarz iterations for symmetric positive semidefinite problems. Zbl 1140.65027
Nabben, Reinhard; Szyld, Daniel B.
6
2006
On the occurrence of superlinear convergence of exact and inexact Krylov subspace methods. Zbl 1079.65034
Simoncini, Valeria; Szyld, Daniel B.
21
2005
Additive Schwarz iterations for Markov chains. Zbl 1097.65047
Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B.
11
2005
Subdirect sums of nonsingular \(M\)-matrices and of their inverses. Zbl 1094.15008
Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B.
8
2005
The effect of non-optimal bases on the convergence of Krylov subspace methods. Zbl 1118.65022
Simoncini, Valeria; Szyld, Daniel B.
6
2005
Relaxed Krylov subspace approximation. Zbl 1391.65074
Simoncini, Valeria; Szyld, Daniel B.
1
2005
Algebraic Schwarz methods for the numerical solution of Markov chains. Zbl 1050.65030
Marek, Ivo; Szyld, Daniel B.
8
2004
Overlapping additive and multiplicative Schwarz iterations for \(H\)-matrices. Zbl 1066.65036
Bru, Rafael; Pedroche, Francisco; Szyld, Daniel B.
7
2004
Theory of inexact Krylov subspace methods and applications to scientific computing. Zbl 1048.65032
Simoncini, Valeria; Szyld, Daniel B.
50
2003
Flexible inner-outer Krylov subspace methods. Zbl 1047.65021
Simoncini, Valeria; Szyld, Daniel B.
31
2003
Convergence theory of restricted multiplicative Schwarz methods. Zbl 1040.65031
Nabben, Reinhard; Szyld, Daniel B.
10
2003
Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices. Zbl 1018.65049
Elsner, Ludwig; Frommer, Andreas; Nabben, Reinhard; Schneider, Hans; Szyld, Daniel B.
9
2003
Comparison of convergence of general stationary iterative methods for singular matrices. Zbl 1018.65041
Marek, Ivo; Szyld, Daniel B.
5
2002
An algebraic convergence theory for restricted additive and multiplicative Schwarz methods. Zbl 1026.65022
Frommer, A.; Nabben, R.; Szyld, D. B.
3
2002
Algebraic theory of multiplicative Schwarz methods. Zbl 0991.65037
Benzi, Michele; Frommer, Andreas; Nabben, Reinhard; Szyld, Daniel B.
34
2001
An algebraic convergence theory for restricted additive Schwarz methods using weighted max norms. Zbl 1006.65031
Frommer, Andreas; Szyld, Daniel B.
25
2001
FQMR: A flexible quasi-minimal residual method with inexact preconditioning. Zbl 0997.65062
Szyld, Daniel B.; Vogel, Judith A.
16
2001
Nonstationary multisplittings with general weighting matrices. Zbl 0982.65032
Migallón, Violeta; Penadés, José; Szyld, Daniel B.
14
2001
On asynchronous iterations. Zbl 0967.65066
Frommer, Andreas; Szyld, Daniel B.
31
2000
Comparison theorems for the convergence factor of iterative methods for singular matrices. Zbl 0963.65036
Marek, Ivo; Szyld, Daniel B.
7
2000
Convergence of some asynchronous nonlinear multisplitting methods. Zbl 0974.65050
Szyld, Daniel B.; Xu, Jian-Jun
1
2000
Orderings for incomplete factorization preconditioning of nonsymmetric problems. Zbl 0940.65033
Benzi, Michele; Szyld, Daniel B.; van Duin, Arno C. N.
41
1999
Weighted max norms, splittings, and overlapping additive Schwarz iterations. Zbl 0934.65035
Frommer, Andreas; Szyld, Daniel B.
32
1999
Block and asynchronous two-stage methods for mildly nonlinear systems. Zbl 0941.65047
Bai, Zhongzhi; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
16
1999
Different models of parallel asynchronous iterations with overlapping blocks. Zbl 0963.65035
Szyld, Daniel B.
3
1998
Threshold ordering for preconditioning nonsymmetric problems. Zbl 0921.65036
Benzi, Michele; Choi, Hwajeong; Szyld, Daniel B.
1
1998
Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods. Zbl 0905.65048
Benzi, Michele; Szyld, Daniel B.
43
1997
Asynchronous weighted additive Schwarz methods. Zbl 0890.65027
Frommer, Andreas; Schwandt, Hartmut; Szyld, Daniel B.
10
1997
Nonstationary parallel relaxed multisplitting methods. Zbl 0857.65035
Mas, José; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
16
1996
Block two-stages methods for singular systems and Markov chains. Zbl 0906.65037
Migallón, Violeta; Penadés, José; Szyld, Daniel B.
12
1996
Two-stage multisplitting methods with overlapping blocks. Zbl 0856.65023
Jones, Mark T.; Szyld, Daniel B.
11
1996
Parallel, synchronous and asynchronous two-stage multisplitting methods. Zbl 0856.65024
Bru, Rafael; Migallón, Violeta; Penadés, José; Szyld, Daniel B.
25
1995
Regions of convergence of the Rayleigh quotient iteration method. Zbl 0831.65041
Pantazis, Ricardo D.; Szyld, Daniel B.
3
1995
Asynchronous two-stage iterative methods. Zbl 0821.65010
Frommer, Andreas; Szyld, Daniel B.
25
1994
Equivalence of conditions for convergence of iterative methods for singular equations. Zbl 0837.65057
Szyld, Daniel B.
13
1994
Local convergence of the (exact and inexact) iterative aggregation method for linear systems and Markov operators. Zbl 0822.65019
Marek, Ivo; Szyld, Daniel B.
4
1994
Synchronous and asynchronous two-stage multisplitting methods. Zbl 0819.65039
Szyld, Daniel B.
2
1994
Iterative and semi-iterative methods for computing stationary probability vectors of Markov operators. Zbl 0788.65142
Marek, Ivo; Szyld, Daniel B.
7
1993
Variational analysis of some conjugate gradient methods. Zbl 0835.65055
Szyld, Daniel B.; Widlund, Olof B.
1
1993
Local convergence of (exact and inexact) iterative aggregation. Zbl 0790.65120
Szyld, Daniel B.
1
1993
\(H\)-splittings and two-stage iterative methods. Zbl 0764.65018
Frommer, Andreas; Szyld, Daniel B.
85
1992
Two-stage and multisplitting methods for the parallel solution of linear systems. Zbl 0754.65037
Szyld, Daniel B.; Jones, Mark T.
41
1992
A sequence of lower bounds for the spectral radius of nonnegative matrices. Zbl 0758.15013
Szyld, Daniel B.
7
1992
Convergence of nested classical iterative methods for linear systems. Zbl 0718.65022
Lanzkron, Paul J.; Rose, Donald J.; Szyld, Daniel B.
55
1991
...and 8 more Documents
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Cited by 1,231 Authors

46 Szyld, Daniel B.
37 Huang, Ting-Zhu
19 Simoncini, Valeria
15 Wang, Chuanlong
14 Bai, Zhongzhi
14 Cao, Zhihao
12 Jing, Yanfei
12 Marek, Ivo
11 Yun, Jae Heon
10 Benner, Peter
10 Carpentieri, Bruno
10 Gander, Martin Jakob
10 Gu, Tongxiang
10 Wei, Yimin
10 Wu, Shulin
9 Frommer, Andreas
9 Kürschner, Patrick
9 Liu, Zhongyun
9 Saad, Yousef
9 Sogabe, Tomohiro
9 Zeng, Jinping
8 Benzi, Michele
8 Xue, Fei
8 Zhang, Litao
7 Climent, Joan-Josep
7 Gu, Xian-Ming
7 Jarlebring, Elias
7 Lamichhane, Bishnu Prasad
7 Migallón, Violeta
7 Penadés, José
7 Perea, Carmen
7 Van Gijzen, Martin Bastiaan
7 Zhang, Shao-Liang
6 Hadjidimos, Apostolos
6 Ma, Changfeng
6 Meng, Guoyan
6 Nabben, Reinhard
6 Noutsos, Dimitrios
6 Saibaba, Arvind Krishna
6 Vanroose, Wim
6 Wen, Chun
5 Cerdán, Juana
5 Cools, Siegfried
5 Il’in, Valeriĭ Pavlovich
5 Jia, Zhongxiao
5 Li, Chenliang
5 Li, Cuixia
5 Li, Liang
5 Liu, Chein-Shan
5 Liu, Xingping
5 Loisel, Sébastien
5 Magoulès, Frédéric
5 Mas, José
5 Miao, Cun-Qiang
5 Niki, Hiroshi
5 Saak, Jens
5 Wen, Ruiping
5 Wu, Gang
5 Yang, Haijian
5 Zhang, Lili
5 Zhang, Naimin
4 Axelsson, Axel Owe Holger
4 Bujanović, Zvonimir
4 Cai, Xiao-Chuan
4 Chen, Guoliang
4 Cvetković, Ljiljana
4 Du, Lei
4 Duintjer Tebbens, Jurjen
4 Gratton, Serge
4 Heyouni, Mohammed
4 Imakura, Akira
4 Li, Chaoqian
4 Liu, Qingbing
4 Mishra, Debasisha
4 Niu, Qiang
4 Oh, Seyoung T.
4 Pestana, Jennifer
4 Rozlozník, Miroslav
4 Sameh, Ahmed H.
4 Sivakumar, Koratti Chengalrayan
4 Song, Yongzhong
4 Spence, Euan A.
4 Sun, Zhe
4 Tůma, Miroslav
4 Vasseur, Xavier
4 Vuik, Cornelis
4 Wang, Li
4 Wu, Hebing
4 Wu, Shiliang
4 Xi, Yuanzhe
4 Xu, Hongru
4 Yan, Xihong
4 Zhou, Tao
3 Bahi, Jacques Mohcine
3 Cao, Yang
3 Chow, Edmond G. W.
3 Dong, Junliang
3 Duan, Yong
3 Duminil, Sébastien
3 Freitag, Melina A.
...and 1,131 more Authors
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Cited in 138 Serials

100 Journal of Computational and Applied Mathematics
84 Linear Algebra and its Applications
60 SIAM Journal on Scientific Computing
50 Applied Mathematics and Computation
40 Numerical Linear Algebra with Applications
39 Numerical Algorithms
31 Computers & Mathematics with Applications
26 Journal of Computational Physics
25 Applied Numerical Mathematics
22 Numerische Mathematik
19 BIT
17 Journal of Scientific Computing
16 SIAM Journal on Matrix Analysis and Applications
16 International Journal of Computer Mathematics
13 Applied Mathematics Letters
11 Mathematics of Computation
11 SIAM Journal on Numerical Analysis
11 Computational and Applied Mathematics
10 Computer Methods in Applied Mechanics and Engineering
8 Calcolo
7 Journal of Applied Mathematics and Computing
6 Japan Journal of Industrial and Applied Mathematics
6 Computational Optimization and Applications
6 ETNA. Electronic Transactions on Numerical Analysis
6 East Asian Journal on Applied Mathematics
5 Computers and Fluids
5 Linear and Multilinear Algebra
5 Advances in Computational Mathematics
5 Mathematical Problems in Engineering
5 Journal of Applied Mathematics
4 International Journal for Numerical Methods in Engineering
4 Applied Mathematical Modelling
4 Engineering Analysis with Boundary Elements
4 ELA. The Electronic Journal of Linear Algebra
4 Optimization Methods & Software
4 Acta Numerica
3 International Journal for Numerical Methods in Fluids
3 Journal of Mathematical Analysis and Applications
3 Journal of Optimization Theory and Applications
3 Numerical Functional Analysis and Optimization
3 Acta Mathematicae Applicatae Sinica. English Series
3 Computational Mechanics
3 SIAM Review
3 Journal of Mathematical Sciences (New York)
3 Central European Journal of Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Science China. Mathematics
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2 International Journal of Control
2 Mathematics and Computers in Simulation
2 Results in Mathematics
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2 Advances in Engineering Software
2 Advances in Applied Clifford Algebras
2 Opuscula Mathematica
2 Parallel Algorithms and Applications
2 Journal of Vibration and Control
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2 Journal of Mathematics
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1 Bulletin of the Australian Mathematical Society
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1 ACM Transactions on Mathematical Software
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1 Czechoslovak Mathematical Journal
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1 Kybernetika
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1 SIAM Journal on Algebraic and Discrete Methods
1 Parallel Computing
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1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Aequationes Mathematicae
1 European Journal of Operational Research
1 Mathematical Programming. Series A. Series B
1 International Journal of Robust and Nonlinear Control
1 SIAM Journal on Optimization
1 Vestnik St. Petersburg University. Mathematics
1 The Journal of Analysis
1 Communications in Numerical Methods in Engineering
1 Economic Theory
1 The Journal of Fourier Analysis and Applications
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Mathematical Methods of Operations Research
1 Mathematical & Computational Applications
1 Engineering Computations
1 Optimization and Engineering
1 The ANZIAM Journal
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
...and 38 more Serials
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Cited in 37 Fields

729 Numerical analysis (65-XX)
149 Linear and multilinear algebra; matrix theory (15-XX)
110 Partial differential equations (35-XX)
64 Operations research, mathematical programming (90-XX)
52 Fluid mechanics (76-XX)
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28 Systems theory; control (93-XX)
25 Computer science (68-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
17 Combinatorics (05-XX)
17 Probability theory and stochastic processes (60-XX)
16 Ordinary differential equations (34-XX)
10 Functional analysis (46-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Quantum theory (81-XX)
8 Statistics (62-XX)
8 Optics, electromagnetic theory (78-XX)
8 Biology and other natural sciences (92-XX)
7 Statistical mechanics, structure of matter (82-XX)
5 Mechanics of particles and systems (70-XX)
5 Information and communication theory, circuits (94-XX)
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4 Geophysics (86-XX)
3 History and biography (01-XX)
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