"\u0158e\u0161en\u00ED rozs\u00E1hl\u00FDch, \u0159\u00EDdk\u00FDch a nesymetrick\u00FDch line\u00E1rn\u00EDch syst\u00E9m\u016F Krylovovsk\u00FDmi metodami." . "Hlavn\u00EDmi v\u00FDsledky jsou nov\u00FD, efektivn\u00ED postup pro aktualizace p\u0159edpodm\u00ED\u0148ova\u010D\u016F v posloupnosti nesymetrick\u00FDch line\u00E1rn\u00EDch syst\u00E9m\u016F, nov\u00E1 konvergen\u010Dn\u00ED anal\u00FDza metody GMRES pro vysoce nenorm\u00E1ln\u00ED mdelov\u00FD probl\u00E9m a nov\u00E9 v\u00FDsledky o konvergenci Ritzov\u00FDch \u010D\u00EDsel."@cs . . . " restarted GMRES" . . "2009-04-28+02:00"^^ . . "1"^^ . "0"^^ . "The main results are a new, efficient technique for updating preconditioners in a sequence of nonsymmetric linear systems, a new GMRES convergence analysis of a highly non-normal model problem and new results on the convergence of Ritz values."@en . "The proposed research project addresses certain aspects of solution of large, sparse, nonsymmetric linear systems with Krylov subspace methods. First, it considers analysis of convergence behavior of Krylov subspace methods for highly non-normal model problems. Second, it investigates applicability of a new strategy to accelerate restarted GMRES. Finally, it addresses efficient preconditioning of Krylov subspace methods in the special case of solving sequences of nonsymmetric linear systems."@en . "0"^^ . . . . . . "Solution of large, sparse and nonsymmetric linear systems with Krylov subspace methods."@en . . "7"^^ . " non-normal systems" . "Krylov subspace methods" . "7"^^ . "Navrhovan\u00FD v\u00FDzkumn\u00FD projekt se zab\u00FDv\u00E1 ur\u010Dit\u00FDmi aspekty \u0159e\u0161en\u00ED rozs\u00E1hl\u00FDch, \u0159\u00EDdk\u00FDch a nesymetrick\u00FDch line\u00E1rn\u00EDch syst\u00E9m\u016F Krylovovsk\u00FDmi metodami. Projekt se v\u011Bnuje konvergen\u010Dn\u00ED anal\u00FDze Krylovovsk\u00FDch metod pro velmi nenorm\u00E1ln\u00ED modelov\u00E9 probl\u00E9my, zab\u00FDv\u00E1 se aplikac\u00ED nov\u00E9 strategie pro zrychlen\u00ED restartovan\u00E9 metody GMRES a v\u011Bnuje se efektivn\u00EDmu p\u0159edpodm\u00EDn\u011Bn\u00ED Krylovovsk\u00FDch metod ve speci\u00E1ln\u00EDm p\u0159\u00EDpad\u011B \u0159e\u0161en\u00ED posloupnosti nesymetrick\u00FDch line\u00E1rn\u00EDch soustav." . . "Krylov subspace methods, restarted GMRES, non-normal systems, preconditioner updates"@en . . . "2011-06-14+02:00"^^ . . . "http://www.isvav.cz/projectDetail.do?rowId=KJB100300703"^^ . . . "2009-12-31+01:00"^^ . "2007-01-01+01:00"^^ . . . "KJB100300703" .