Zdenek Dostál

Publication Activity (10 Years)

Years Active: 1991-2024
Publications (10 Years): 15

Top Topics

Decomposition Method

Monotonicity Property

Quadratic Programming

Top Venues

Comput. Math. Appl.

Math. Comput. Simul.

Numer. Linear Algebra Appl.

Publications

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 (2024)
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) (2022)
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) (2022)
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) (2021)
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 (2021)
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)
Radim Blaheta, Jirí Starý, Zdenek Dostál, Tomás Kozubek
Editorial. Math. Comput. Simul. 145 (2018)
Zdenek Dostál, Lukás Pospísil
Conjugate gradients for symmetric positive semidefinite least-squares problems. Int. J. Comput. Math. 95 (11) (2018)
Lukás Pospísil, Zdenek Dostál
The projected Barzilai-Borwein method with fall-back for strictly convex QCQP problems with separable constraints. Math. Comput. Simul. 145 (2018)
Zdenek Dostál, Gerardo Toraldo, Marco Viola, Oldrich Vlach
Proportionality-Based Gradient Methods with Applications in Contact Mechanics. HPCSE (2017)
Ondrej Santin, Marta Jarosová, Vladimír Havlena, Zdenek Dostál
Proportioning with second-order information for model predictive control. Optim. Methods Softw. 32 (3) (2017)
Zdenek Dostál, Lukás Pospísil
Optimal iterative QP and QPQC algorithms. Ann. Oper. Res. 243 (1-2) (2016)
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) (2015)
Zdenek Dostál, Lukás Pospísil
Minimizing quadratic functions with semidefinite Hessian subject to bound constraints. Comput. Math. Appl. 70 (8) (2015)
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) (2015)
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) (2014)
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 (2014)
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) (2014)
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 (2013)
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) (2013)
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) (2012)
Zdenek Dostál, Tomás Kozubek, Alexandros Markopoulos, Martin Mensík
Cholesky decomposition of a positive semidefinite matrix with known kernel. Appl. Math. Comput. 217 (13) (2011)
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) (2011)
J. Dobiás, S. Pták, Zdenek Dostál, Vít Vondrák
Total FETI based algorithm for contact problems with additional non-linearities. Adv. Eng. Softw. 41 (1) (2010)
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) (2010)
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) (2010)
Zdenek Dostál, Tomás Brzobohatý, Tomás Kozubek, Alexandros Markopoulos, Vít Vondrák
A Scalable TFETI Based Algorithm for 2D and 3D Frictionless Contact Problems. LSSC (2009)
Jirí Bouchala, Zdenek Dostál, Marie Sadowská
Scalable Total BETI based algorithm for 3D coercive contact problems of linear elastostatics. Computing 85 (3) (2009)
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) (2009)
Jirí Bouchala, Zdenek Dostál, Marie Sadowská
Theoretically supported scalable BETI method for variational inequalities. Computing 82 (1) (2008)
Zdenek Dostál
An optimal algorithm for a class of equality constrained quadratic programming problems with bounded spectrum. Comput. Optim. Appl. 38 (1) (2007)
Zdenek Dostál, David Horák, Oldrich Vlach
FETI-based algorithms for modelling of fibrous composite materials with debonding. Math. Comput. Simul. 76 (1-3) (2007)
Dalibor Lukás, Zdenek Dostál
Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem. Numer. Linear Algebra Appl. 14 (9) (2007)
Marta Domorádová, Zdenek Dostál
Projector preconditioning for partially bound-constrained quadratic optimization. Numer. Linear Algebra Appl. 14 (10) (2007)
Zdenek Dostál, David Horák
Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities. SIAM J. Numer. Anal. 45 (2) (2007)
Zdenek Dostál
An Optimal Algorithm for Bound and Equality Constrained Quadratic Programming Problems with Bounded Spectrum. Computing 78 (4) (2006)
Zdenek Dostál
Semi-monotonic inexact augmented Lagrangians for quadratic programing with equality constraints. Optim. Methods Softw. 20 (6) (2005)
Zdenek Dostál, Joachim Schöberl
Minimizing Quadratic Functions Subject to Bound Constraints with the Rate of Convergence and Finite Termination. Comput. Optim. Appl. 30 (1) (2005)
Zdenek Dostál, Joachim Schöberl
Minimizing Quadratic Functions Subject to Bound Constraints with the Rate of Convergence and Finite Termination. Comput. Optim. Appl. 30 (1) (2005)
Zdenek Dostál
Inexact Semimonotonic Augmented Lagrangians with Optimal Feasibility Convergence for Convex Bound and Equality Constrained Quadratic Programming. SIAM J. Numer. Anal. 43 (1) (2005)
Zdenek Dostál, David Horák
Scalable FETI with optimal dual penalty for a variational inequality. Numer. Linear Algebra Appl. 11 (5-6) (2004)
Zdenek Dostál
A Proportioning Based Algorithm with Rate of Convergence for Bound Constrained Quadratic Programming. Numer. Algorithms 34 (2-4) (2003)
Zdenek Dostál, David Horák
Scalability and FETI based algorithm for large discretized variational inequalities. Math. Comput. Simul. 61 (3-6) (2003)
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) (2003)
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) (2002)
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) (2002)
Zdenek Dostál, Ana Friedlander, Sandra A. Santos
Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Equality Constraints. Comput. Optim. Appl. 14 (1) (1999)
Zdenek Dostál
On preconditioning and penalized matrices. Numer. Linear Algebra Appl. 6 (2) (1999)
Zdenek Dostál
Box Constrained Quadratic Programming with Proportioning and Projections. SIAM J. Optim. 7 (3) (1997)
Zdenek Dostál
On the penalty approximation of quadratic programming problem. Kybernetika 27 (2) (1991)