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ORCIDZdenek Dostál
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- affiliation: Technical University of Ostrava, Czech Republic
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2020 – today
- 2024
[j48]Petr Vodstrcil
, Dalibor Lukás, Zdenek Dostál, Marie Sadowská, David Horák, Oldrich Vlach, Jirí Bouchala, Jakub Kruzík:
On favorable bounds on the spectrum of discretized Steklov-Poincaré operator and applications to domain decomposition methods in 2D. Comput. Math. Appl. 167: 12-20 (2024)- 2022
- [j47]Zdenek Dostál, David Horák, Jakub Kruzík, Tomás Brzobohatý, Oldrich Vlach:
Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities. Numer. Algorithms 91(2): 773-801 (2022) - [j46]Zdenek Dostál, Tomás Brzobohatý, Oldrich Vlach, Lubomír Ríha:
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition. Numerische Mathematik 152(1): 41-66 (2022) - 2021
- [j45]Zdenek Dostál, Oldrich Vlach:
An accelerated augmented Lagrangian algorithm with adaptive orthogonalization strategy for bound and equality constrained quadratic programming and its application to large-scale contact problems of elasticity. J. Comput. Appl. Math. 394: 113565 (2021) - [j44]Zdenek Dostál, Tomás Brzobohatý, Oldrich Vlach:
Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems. J. Num. Math. 29(4): 289-306 (2021) - [j43]Zdenek Dostál, David Horák, Tomás Brzobohatý, Petr Vodstrcil:
Bounds on the spectra of Schur complements of large H-TFETI-DP clusters for 2D Laplacian. Numer. Linear Algebra Appl. 28(2) (2021)
2010 – 2019
- 2018
- [j42]Zdenek Dostál, Lukás Pospísil:
Conjugate gradients for symmetric positive semidefinite least-squares problems. Int. J. Comput. Math. 95(11): 2229-2239 (2018) - [j41]Radim Blaheta, Jirí Starý, Zdenek Dostál, Tomás Kozubek:
Editorial. Math. Comput. Simul. 145: 1-2 (2018) - [j40]Lukás Pospísil, Zdenek Dostál:
The projected Barzilai-Borwein method with fall-back for strictly convex QCQP problems with separable constraints. Math. Comput. Simul. 145: 79-89 (2018) - 2017
- [j39]Ondrej Santin, Marta Jarosová, Vladimír Havlena, Zdenek Dostál:
Proportioning with second-order information for model predictive control. Optim. Methods Softw. 32(3): 436-454 (2017) - [c2]Zdenek Dostál, Gerardo Toraldo, Marco Viola, Oldrich Vlach:
Proportionality-Based Gradient Methods with Applications in Contact Mechanics. HPCSE 2017: 47-58 - 2016
- [j38]Zdenek Dostál, Lukás Pospísil:
Optimal iterative QP and QPQC algorithms. Ann. Oper. Res. 243(1-2): 5-18 (2016) - 2015
- [j37]Zdenek Dostál, Lukás Pospísil:
Minimizing quadratic functions with semidefinite Hessian subject to bound constraints. Comput. Math. Appl. 70(8): 2014-2028 (2015) - [j36]Oldrich Vlach, Zdenek Dostál, Tomás Kozubek:
On Conditioning of Constraints Arising from Variationally Consistent Discretization of Contact Problems and Duality Based Solvers. Comput. Methods Appl. Math. 15(2): 221-231 (2015) - [j35]Zdenek Dostál, Tomás Kozubek, Oldrich Vlach, Tomás Brzobohatý:
Reorthogonalization-based stiffness preconditioning in FETI algorithms with applications to variational inequalities. Numer. Linear Algebra Appl. 22(6): 987-998 (2015) - 2014
- [j34]Jirí Bouchala, Zdenek Dostál, Tomás Kozubek, Lukás Pospísil, Petr Vodstrcil:
On the solution of convex QPQC problems with elliptic and other separable constraints with strong curvature. Appl. Math. Comput. 247: 848-864 (2014) - [j33]Zdenek Dostál, Tomás Brzobohatý, David Horák, Tomás Kozubek, Petr Vodstrcil:
On R-linear convergence of semi-monotonic inexact augmented Lagrangians for bound and equality constrained quadratic programming problems with application. Comput. Math. Appl. 67(3): 515-526 (2014) - [j32]Zdenek Dostál, David Horák, Petr Vodstrcil:
On R-linear convergence of semi-monotonic inexact augmented Lagrangians for saddle point problems. Comput. Optim. Appl. 58(1): 87-103 (2014) - 2013
- [j31]Tomás Kozubek, Vít Vondrák, Martin Mensík, David Horák, Zdenek Dostál, Vaclav Hapla, Pavla Kabelíková, Martin Cermák:
Total FETI domain decomposition method and its massively parallel implementation. Adv. Eng. Softw. 60: 14-22 (2013) - [j30]Jirí Bouchala, Zdenek Dostál, Petr Vodstrcil:
Separable Spherical Constraints and the Decrease of a Quadratic Function in the Gradient Projection Step. J. Optim. Theory Appl. 157(1): 132-140 (2013) - [p2]Zdenek Dostál, Tomás Kozubek, Tomás Brzobohatý, Alexandros Markopoulos, Marie Sadowská, Vít Vondrák:
Scalable Domain Decomposition Algorithms for Contact Problems: Theory, Numerical Experiments, and Real World Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 39-49 - [p1]Tomás Kozubek, Zdenek Dostál, Tomás Brzobohatý, Alexandros Markopoulos, Oldrich Vlach:
TFETI Scalable Solvers for Transient Contact Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 329-336 - 2012
- [j29]Zdenek Dostál, Tomás Kozubek:
An optimal algorithm and superrelaxation for minimization of a quadratic function subject to separable convex constraints with applications. Math. Program. 135(1-2): 195-220 (2012) - 2011
- [j28]Zdenek Dostál, Tomás Kozubek, Alexandros Markopoulos, Martin Mensík:
Cholesky decomposition of a positive semidefinite matrix with known kernel. Appl. Math. Comput. 217(13): 6067-6077 (2011) - [j27]Zdenek Dostál, Marta Domorádová, Marie Sadowská:
Superrelaxation and the rate of convergence in minimizing quadratic functions subject to bound constraints. Comput. Optim. Appl. 48(1): 23-44 (2011) - 2010
- [j26]Jirí Dobiás, Svatopluk Pták, Zdenek Dostál, Vít Vondrák:
Total FETI based algorithm for contact problems with additional non-linearities. Adv. Eng. Softw. 41(1): 46-51 (2010) - [j25]Zdenek Dostál, Tomás Kozubek, P. Horyl, Tomás Brzobohatý, Alexandros Markopoulos:
A scalable TFETI algorithm for two-dimensional multibody contact problems with friction. J. Comput. Appl. Math. 235(2): 403-418 (2010) - [j24]Zdenek Dostál, Radek Kucera:
An Optimal Algorithm for Minimization of Quadratic Functions with Bounded Spectrum Subject to Separable Convex Inequality and Linear Equality Constraints. SIAM J. Optim. 20(6): 2913-2938 (2010)
2000 – 2009
- 2009
- [j23]Jirí Bouchala, Zdenek Dostál, Marie Sadowská:
Scalable Total BETI based algorithm for 3D coercive contact problems of linear elastostatics. Computing 85(3): 189-217 (2009) - [j22]Zdenek Dostál, David Horák, Dan Stefanica:
A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface. J. Comput. Appl. Math. 231(2): 577-591 (2009) - [c1]Zdenek Dostál, Tomás Brzobohatý, Tomás Kozubek, Alexandros Markopoulos, Vít Vondrák:
A Scalable TFETI Based Algorithm for 2D and 3D Frictionless Contact Problems. LSSC 2009: 92-99 - 2008
- [j21]Jirí Bouchala, Zdenek Dostál, Marie Sadowská:
Theoretically supported scalable BETI method for variational inequalities. Computing 82(1): 53-75 (2008) - 2007
- [j20]Zdenek Dostál:
An optimal algorithm for a class of equality constrained quadratic programming problems with bounded spectrum. Comput. Optim. Appl. 38(1): 47-59 (2007) - [j19]Zdenek Dostál, David Horák, Oldrich Vlach:
FETI-based algorithms for modelling of fibrous composite materials with debonding. Math. Comput. Simul. 76(1-3): 57-64 (2007) - [j18]Dalibor Lukás, Zdenek Dostál:
Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem. Numer. Linear Algebra Appl. 14(9): 741-750 (2007) - [j17]Marta Domorádová, Zdenek Dostál:
Projector preconditioning for partially bound-constrained quadratic optimization. Numer. Linear Algebra Appl. 14(10): 791-806 (2007) - [j16]Zdenek Dostál, David Horák:
Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities. SIAM J. Numer. Anal. 45(2): 500-513 (2007) - 2006
- [j15]Zdenek Dostál:
An Optimal Algorithm for Bound and Equality Constrained Quadratic Programming Problems with Bounded Spectrum. Computing 78(4): 311-328 (2006) - 2005
- [j14]Zdenek Dostál, Joachim Schöberl:
Minimizing Quadratic Functions Subject to Bound Constraints with the Rate of Convergence and Finite Termination. Comput. Optim. Appl. 30(1): 23-43 (2005) - [j13]Zdenek Dostál, Joachim Schöberl:
Minimizing Quadratic Functions Subject to Bound Constraints with the Rate of Convergence and Finite Termination. Comput. Optim. Appl. 30(1): 23-43 (2005) - [j12]Zdenek Dostál:
Semi-monotonic inexact augmented Lagrangians for quadratic programing with equality constraints. Optim. Methods Softw. 20(6): 715-727 (2005) - [j11]Zdenek Dostál:
Inexact Semimonotonic Augmented Lagrangians with Optimal Feasibility Convergence for Convex Bound and Equality Constrained Quadratic Programming. SIAM J. Numer. Anal. 43(1): 96-115 (2005) - 2004
- [j10]Zdenek Dostál, David Horák:
Scalable FETI with optimal dual penalty for a variational inequality. Numer. Linear Algebra Appl. 11(5-6): 455-472 (2004) - 2003
- [j9]Zdenek Dostál, David Horák:
Scalability and FETI based algorithm for large discretized variational inequalities. Math. Comput. Simul. 61(3-6): 347-357 (2003) - [j8]Zdenek Dostál:
A Proportioning Based Algorithm with Rate of Convergence for Bound Constrained Quadratic Programming. Numer. Algorithms 34(2-4): 293-302 (2003) - [j7]Zdenek Dostál, Ana Friedlander, Sandra Augusta Santos:
Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Simple Bounds and Equality Constraints. SIAM J. Optim. 13(4): 1120-1140 (2003) - 2002
- [j6]Zdenek Dostál, Ana Friedlander, Francisco A. M. Gomes, Sandra Augusta Santos:
Preconditioning by Projectors in the Solution of Contact Problems: A Parallel Implementation. Ann. Oper. Res. 117(1-4): 117-129 (2002) - [j5]Zdenek Dostál, Ana Friedlander, Sandra Augusta Santos, K. Alesawi:
Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Equality Constraints: Corrigendum and Addendum. Comput. Optim. Appl. 23(1): 127-133 (2002)
1990 – 1999
- 1999
- [j4]Zdenek Dostál, Ana Friedlander, Sandra A. Santos:
Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Equality Constraints. Comput. Optim. Appl. 14(1): 37-53 (1999) - [j3]Zdenek Dostál:
On preconditioning and penalized matrices. Numer. Linear Algebra Appl. 6(2): 109-114 (1999) - 1997
- [j2]Zdenek Dostál:
Box Constrained Quadratic Programming with Proportioning and Projections. SIAM J. Optim. 7(3): 871-887 (1997) - 1991
- [j1]Zdenek Dostál:
On the penalty approximation of quadratic programming problem. Kybernetika 27(2): 151-154 (1991)
Coauthor Index
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