On the penalty approximation of quadratic programming problem. - Zdenek Dostál (Kybernetika, 1991)

Box Constrained Quadratic Programming with Proportioning and Projections. - Zdenek Dostál (SIAM J. Optim., 1997)

Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Equality Constraints. - Zdenek Dostál; Ana Friedlander; Sandra A. Santos 001 (Comput. Optim. Appl., 1999)

On preconditioning and penalized matrices. - Zdenek Dostál (Numer. Linear Algebra Appl., 1999)

Preconditioning by Projectors in the Solution of Contact Problems: A Parallel Implementation. - Zdenek Dostál; Ana Friedlander; Francisco A. M. Gomes; Sandra Augusta Santos (Ann. Oper. Res., 2002)

Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Equality Constraints: Corrigendum and Addendum. - Zdenek Dostál; Ana Friedlander; Sandra Augusta Santos; K. Alesawi (Comput. Optim. Appl., 2002)

Scalability and FETI based algorithm for large discretized variational inequalities. - Zdenek Dostál; David Horák (Math. Comput. Simul., 2003)

A Proportioning Based Algorithm with Rate of Convergence for Bound Constrained Quadratic Programming. - Zdenek Dostál (Numer. Algorithms, 2003)

Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Simple Bounds and Equality Constraints. - Zdenek Dostál; Ana Friedlander; Sandra Augusta Santos (SIAM J. Optim., 2003)

Scalable FETI with optimal dual penalty for a variational inequality. - Zdenek Dostál; David Horák (Numer. Linear Algebra Appl., 2004)

Minimizing Quadratic Functions Subject to Bound Constraints with the Rate of Convergence and Finite Termination. - Zdenek Dostál; Joachim Schöberl (Comput. Optim. Appl., 2005)

Semi-monotonic inexact augmented Lagrangians for quadratic programing with equality constraints. - Zdenek Dostál (Optim. Methods Softw., 2005)

Inexact Semimonotonic Augmented Lagrangians with Optimal Feasibility Convergence for Convex Bound and Equality Constrained Quadratic Programming. - Zdenek Dostál (SIAM J. Numer. Anal., 2005)

An Optimal Algorithm for Bound and Equality Constrained Quadratic Programming Problems with Bounded Spectrum. - Zdenek Dostál (Computing, 2006)

An optimal algorithm for a class of equality constrained quadratic programming problems with bounded spectrum. - Zdenek Dostál (Comput. Optim. Appl., 2007)

FETI-based algorithms for modelling of fibrous composite materials with debonding. - Zdenek Dostál; David Horák; Oldrich Vlach (Math. Comput. Simul., 2007)

Projector preconditioning for partially bound-constrained quadratic optimization. - Marta Domorádová; Zdenek Dostál (Numer. Linear Algebra Appl., 2007)

Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem. - Dalibor Lukás; Zdenek Dostál (Numer. Linear Algebra Appl., 2007)

Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities. - Zdenek Dostál; David Horák (SIAM J. Numer. Anal., 2007)

Theoretically supported scalable BETI method for variational inequalities. - Jirí Bouchala; Zdenek Dostál; Marie Sadowská (Computing, 2008)

A Scalable TFETI Based Algorithm for 2D and 3D Frictionless Contact Problems. - Zdenek Dostál; Tomás Brzobohatý; Tomás Kozubek; Alexandros Markopoulos; Vít Vondrák (LSSC, 2009)

Scalable Total BETI based algorithm for 3D coercive contact problems of linear elastostatics. - Jirí Bouchala; Zdenek Dostál; Marie Sadowská (Computing, 2009)

A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface. - Zdenek Dostál; David Horák; Dan Stefanica (J. Comput. Appl. Math., 2009)

Total FETI based algorithm for contact problems with additional non-linearities. - Jirí Dobiás; Svatopluk Pták; Zdenek Dostál; Vít Vondrák (Adv. Eng. Softw., 2010)

A scalable TFETI algorithm for two-dimensional multibody contact problems with friction. - Zdenek Dostál; Tomás Kozubek; P. Horyl; Tomás Brzobohatý; Alexandros Markopoulos (J. Comput. Appl. Math., 2010)

An Optimal Algorithm for Minimization of Quadratic Functions with Bounded Spectrum Subject to Separable Convex Inequality and Linear Equality Constraints. - Zdenek Dostál; Radek Kucera (SIAM J. Optim., 2010)

Cholesky decomposition of a positive semidefinite matrix with known kernel. - Zdenek Dostál; Tomás Kozubek; Alexandros Markopoulos; Martin Mensík (Appl. Math. Comput., 2011)

Superrelaxation and the rate of convergence in minimizing quadratic functions subject to bound constraints. - Zdenek Dostál; Marta Domorádová; Marie Sadowská (Comput. Optim. Appl., 2011)

An optimal algorithm and superrelaxation for minimization of a quadratic function subject to separable convex constraints with applications. - Zdenek Dostál; Tomás Kozubek (Math. Program., 2012)

Total FETI domain decomposition method and its massively parallel implementation. - Tomás Kozubek; Vít Vondrák; Martin Mensík; David Horák; Zdenek Dostál; Vaclav Hapla; Pavla Kabelíková; Martin Cermák (Adv. Eng. Softw., 2013)

Separable Spherical Constraints and the Decrease of a Quadratic Function in the Gradient Projection Step. - Jirí Bouchala; Zdenek Dostál; Petr Vodstrcil (J. Optim. Theory Appl., 2013)

Scalable Domain Decomposition Algorithms for Contact Problems: Theory, Numerical Experiments, and Real World Problems. - Zdenek Dostál; Tomás Kozubek; Tomás Brzobohatý; Alexandros Markopoulos; Marie Sadowská; Vít Vondrák (Domain Decomposition Methods in Science and Engineering XX, 2013)

TFETI Scalable Solvers for Transient Contact Problems. - Tomás Kozubek; Zdenek Dostál; Tomás Brzobohatý; Alexandros Markopoulos; Oldrich Vlach (Domain Decomposition Methods in Science and Engineering XX, 2013)

On the solution of convex QPQC problems with elliptic and other separable constraints with strong curvature. - Jirí Bouchala; Zdenek Dostál; Tomás Kozubek; Lukás Pospísil; Petr Vodstrcil (Appl. Math. Comput., 2014)

On R-linear convergence of semi-monotonic inexact augmented Lagrangians for bound and equality constrained quadratic programming problems with application. - Zdenek Dostál; Tomás Brzobohatý; David Horák; Tomás Kozubek; Petr Vodstrcil (Comput. Math. Appl., 2014)

On R-linear convergence of semi-monotonic inexact augmented Lagrangians for saddle point problems. - Zdenek Dostál; David Horák; Petr Vodstrcil (Comput. Optim. Appl., 2014)

Minimizing quadratic functions with semidefinite Hessian subject to bound constraints. - Zdenek Dostál; Lukás Pospísil (Comput. Math. Appl., 2015)

On Conditioning of Constraints Arising from Variationally Consistent Discretization of Contact Problems and Duality Based Solvers. - Oldrich Vlach; Zdenek Dostál; Tomás Kozubek (Comput. Methods Appl. Math., 2015)

Reorthogonalization-based stiffness preconditioning in FETI algorithms with applications to variational inequalities. - Zdenek Dostál; Tomás Kozubek; Oldrich Vlach; Tomás Brzobohatý (Numer. Linear Algebra Appl., 2015)

Optimal iterative QP and QPQC algorithms. - Zdenek Dostál; Lukás Pospísil (Ann. Oper. Res., 2016)

Proportionality-Based Gradient Methods with Applications in Contact Mechanics. - Zdenek Dostál; Gerardo Toraldo; Marco Viola; Oldrich Vlach (HPCSE, 2017)

Proportioning with second-order information for model predictive control. - Ondrej Santin; Marta Jarosová; Vladimír Havlena; Zdenek Dostál (Optim. Methods Softw., 2017)

Conjugate gradients for symmetric positive semidefinite least-squares problems. - Zdenek Dostál; Lukás Pospísil (Int. J. Comput. Math., 2018)

Editorial. - Radim Blaheta; Jirí Starý; Zdenek Dostál; Tomás Kozubek (Math. Comput. Simul., 2018)

The projected Barzilai-Borwein method with fall-back for strictly convex QCQP problems with separable constraints. - Lukás Pospísil; Zdenek Dostál (Math. Comput. Simul., 2018)

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. - Zdenek Dostál; Oldrich Vlach (J. Comput. Appl. Math., 2021)

Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems. - Zdenek Dostál; Tomás Brzobohatý; Oldrich Vlach (J. Num. Math., 2021)

Bounds on the spectra of Schur complements of large H-TFETI-DP clusters for 2D Laplacian. - Zdenek Dostál; David Horák; Tomás Brzobohatý; Petr Vodstrcil (Numer. Linear Algebra Appl., 2021)

Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities. - Zdenek Dostál; David Horák; Jakub Kruzík; Tomás Brzobohatý; Oldrich Vlach (Numer. Algorithms, 2022)

On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition. - Zdenek Dostál; Tomás Brzobohatý; Oldrich Vlach; Lubomír Ríha (Numerische Mathematik, 2022)

On favorable bounds on the spectrum of discretized Steklov-Poincaré operator and applications to domain decomposition methods in 2D. - Petr Vodstrcil; Dalibor Lukás; Zdenek Dostál; Marie Sadowská; David Horák; Oldrich Vlach; Jirí Bouchala; Jakub Kruzík (Comput. Math. Appl., 2024)