A TRANSPOSE-FREE LANCZOS ORTHODIR ALGORITHM FOR LINEAR-SYSTEMS/

Authors
Citation
C. Brezinski, A TRANSPOSE-FREE LANCZOS ORTHODIR ALGORITHM FOR LINEAR-SYSTEMS/, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(3), 1997, pp. 349-354
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
324
Issue
3
Year of publication
1997
Pages
349 - 354
Database
ISI
SICI code
0764-4442(1997)324:3<349:ATLOAF>2.0.ZU;2-E
Abstract
The method of Lanczos for solving systems of linear equations is imple mented via recurrence relationships between formal orthogonal polynomi als. In this Note, a new procedure for computing the coefficients of t hese recurrence relations is proposed. In contrast with all other proc edures, it does not make use of the transpose of the matrix of the sys tem.