Zdenek Dostál

Orcid: 0000-0002-3252-4795

Affiliations:
  • Technical University of Ostrava, Czech Republic


According to our database1, Zdenek Dostál authored at least 50 papers between 1991 and 2022.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2022
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition.
Numerische Mathematik, 2022

Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities.
Numer. Algorithms, 2022

2021
Bounds on the spectra of Schur complements of large H-TFETI-DP clusters for 2D Laplacian.
Numer. Linear Algebra Appl., 2021

Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems.
J. Num. Math., 2021

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., 2021

2018
The projected Barzilai-Borwein method with fall-back for strictly convex QCQP problems with separable constraints.
Math. Comput. Simul., 2018

Editorial.
Math. Comput. Simul., 2018

Conjugate gradients for symmetric positive semidefinite least-squares problems.
Int. J. Comput. Math., 2018

2017
Proportioning with second-order information for model predictive control.
Optim. Methods Softw., 2017

Proportionality-Based Gradient Methods with Applications in Contact Mechanics.
Proceedings of the High Performance Computing in Science and Engineering, 2017

2016
Optimal iterative QP and QPQC algorithms.
Ann. Oper. Res., 2016

2015
Reorthogonalization-based stiffness preconditioning in FETI algorithms with applications to variational inequalities.
Numer. Linear Algebra Appl., 2015

On Conditioning of Constraints Arising from Variationally Consistent Discretization of Contact Problems and Duality Based Solvers.
Comput. Methods Appl. Math., 2015

Minimizing quadratic functions with semidefinite Hessian subject to bound constraints.
Comput. Math. Appl., 2015

2014
On R-linear convergence of semi-monotonic inexact augmented Lagrangians for saddle point problems.
Comput. Optim. Appl., 2014

On R-linear convergence of semi-monotonic inexact augmented Lagrangians for bound and equality constrained quadratic programming problems with application.
Comput. Math. Appl., 2014

On the solution of convex QPQC problems with elliptic and other separable constraints with strong curvature.
Appl. Math. Comput., 2014

2013
TFETI Scalable Solvers for Transient Contact Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Scalable Domain Decomposition Algorithms for Contact Problems: Theory, Numerical Experiments, and Real World Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Separable Spherical Constraints and the Decrease of a Quadratic Function in the Gradient Projection Step.
J. Optim. Theory Appl., 2013

Total FETI domain decomposition method and its massively parallel implementation.
Adv. Eng. Softw., 2013

2012
An optimal algorithm and superrelaxation for minimization of a quadratic function subject to separable convex constraints with applications.
Math. Program., 2012

2011
Superrelaxation and the rate of convergence in minimizing quadratic functions subject to bound constraints.
Comput. Optim. Appl., 2011

Cholesky decomposition of a positive semidefinite matrix with known kernel.
Appl. Math. Comput., 2011

2010
An Optimal Algorithm for Minimization of Quadratic Functions with Bounded Spectrum Subject to Separable Convex Inequality and Linear Equality Constraints.
SIAM J. Optim., 2010

A scalable TFETI algorithm for two-dimensional multibody contact problems with friction.
J. Comput. Appl. Math., 2010

Total FETI based algorithm for contact problems with additional non-linearities.
Adv. Eng. Softw., 2010

2009
A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface.
J. Comput. Appl. Math., 2009

Scalable Total BETI based algorithm for 3D coercive contact problems of linear elastostatics.
Computing, 2009

A Scalable TFETI Based Algorithm for 2D and 3D Frictionless Contact Problems.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008
Theoretically supported scalable BETI method for variational inequalities.
Computing, 2008

2007
Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities.
SIAM J. Numer. Anal., 2007

Optimal multigrid preconditioned semi-monotonic augmented Lagrangians applied to the Stokes problem.
Numer. Linear Algebra Appl., 2007

Projector preconditioning for partially bound-constrained quadratic optimization.
Numer. Linear Algebra Appl., 2007

FETI-based algorithms for modelling of fibrous composite materials with debonding.
Math. Comput. Simul., 2007

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

2006
An Optimal Algorithm for Bound and Equality Constrained Quadratic Programming Problems with Bounded Spectrum.
Computing, 2006

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

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

Minimizing Quadratic Functions Subject to Bound Constraints with the Rate of Convergence and Finite Termination.
Comput. Optim. Appl., 2005

2004
Scalable FETI with optimal dual penalty for a variational inequality.
Numer. Linear Algebra Appl., 2004

2003
Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Simple Bounds and Equality Constraints.
SIAM J. Optim., 2003

A Proportioning Based Algorithm with Rate of Convergence for Bound Constrained Quadratic Programming.
Numer. Algorithms, 2003

Scalability and FETI based algorithm for large discretized variational inequalities.
Math. Comput. Simul., 2003

2002
Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Equality Constraints: Corrigendum and Addendum.
Comput. Optim. Appl., 2002

Preconditioning by Projectors in the Solution of Contact Problems: A Parallel Implementation.
Ann. Oper. Res., 2002

1999
On preconditioning and penalized matrices.
Numer. Linear Algebra Appl., 1999

Augmented Lagrangians with Adaptive Precision Control for Quadratic Programming with Equality Constraints.
Comput. Optim. Appl., 1999

1997
Box Constrained Quadratic Programming with Proportioning and Projections.
SIAM J. Optim., 1997

1991
On the penalty approximation of quadratic programming problem.
Kybernetika, 1991


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