"Construction; invariant; subspaces; their; application; improving; GMRES; method"@en . "We formulate the iterative technique updating the starting vector of the Arnoldi process to obtain an invariant subspace. Our new technique is compared with the classical one and convergence theorem for both techniques is formulated. The invariant subspace is used for improving GMRES(m) method." . . . . "SNA' 05 , Winter School" . . . "Ostrava" . "Ostrava" . "Construction of invariant subspaces and their application for improving GMRES(m) method"@en . . "2005-01-01+01:00"^^ . . "2"^^ . "Je formulov\u00E1n itera\u010Dn\u00ED postup na sestrojen\u00ED startovn\u00EDho vektoru v Arnoldiho procesu a to tak, \u017Ee Krylovovy vektory tvo\u0159\u00ED b\u00E1zi po\u017Eadovan\u00E9ho invariantn\u00EDho podprostoru, kter\u00FD se pou\u017Eije ke zlep\u0161en\u00ED konvergence metody GMRES(m). Nov\u00FD postup je srovn\u00E1n s klasick\u00FDm a je dok\u00E1z\u00E1na v\u011Bta o konvergenci pro oba postupy."@cs . "83;86" . "2"^^ . "RIV/00216208:11320/05:00000623" . "Construction of invariant subspaces and their application for improving GMRES(m) method" . . "RIV/00216208:11320/05:00000623!RIV06-MSM-11320___" . . "11320" . "Construction of invariant subspaces and their application for improving GMRES(m) method" . . . "516243" . . . "P(GA201/05/0005), Z(MSM 113200007)" . . . "Z\u00EDtko, Jan" . . . "Konstrukce invariantn\u00EDch podprostor\u016F a jejich pou\u017Eit\u00ED ke zlep\u0161en\u00ED konvergence metody GMRES(m)"@cs . "We formulate the iterative technique updating the starting vector of the Arnoldi process to obtain an invariant subspace. Our new technique is compared with the classical one and convergence theorem for both techniques is formulated. The invariant subspace is used for improving GMRES(m) method."@en . "Konstrukce invariantn\u00EDch podprostor\u016F a jejich pou\u017Eit\u00ED ke zlep\u0161en\u00ED konvergence metody GMRES(m)"@cs . "4"^^ . "Construction of invariant subspaces and their application for improving GMRES(m) method"@en . . "\u00DAstav geoniky AV \u010CR" . . "[82BEBC04FDDE]" . . . . . "80-86407-04-7" . . "Ulrychov\u00E1, Iveta" .