Počet záznamů: 1
Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES
- 1.0382221 - ÚI 2013 RIV US eng J - Článek v odborném periodiku
Duintjer Tebbens, Jurjen - Meurant, G.
Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES.
SIAM Journal on Matrix Analysis and Applications. Roč. 33, č. 3 (2012), s. 958-978. ISSN 0895-4798. E-ISSN 1095-7162
Grant CEP: GA AV ČR IAA100300802
Grant ostatní: GA AV ČR(CZ) M100300901
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: Ritz values * Arnoldi process * Arnoldi method * GMRES method * prescribed convergence * interlacing properties
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.342, rok: 2012
We show that arbitrary convergence behavior of Ritz values is possible in the Arnoldi method, and we give two parametrizations of the class of matrices with initial Arnoldi vectors that generate prescribed Ritz values (in all iterations). The second parametrization enables us to prove that any GMRES residual norm history is possible with any prescribed Ritz values (in all iterations), provided that we treat the stagnation case appropriately.
Trvalý link: http://hdl.handle.net/11104/0212509
Počet záznamů: 1