THE METHODS OF VOROBYEV AND LANCZOS

Authors
Citation
C. Brezinski, THE METHODS OF VOROBYEV AND LANCZOS, Linear algebra and its applications, 234, 1996, pp. 21-41
Citations number
70
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00243795
Volume
234
Year of publication
1996
Pages
21 - 41
Database
ISI
SICI code
0024-3795(1996)234:<21:TMOVAL>2.0.ZU;2-P
Abstract
This paper deals with the method of moments of Vorobyev, which is a pa rticular case of Galerkin's method. This method is generalized in diff erent ways, and some of its properties are studied in detail. As an ap plication, it is showed that the Lanczos method for solving systems of linear equations can be derived from it and that some generalizations could be obtained.