๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Preconditioned AOR iterative methods for -matrices

โœ Scribed by Li Wang; Yongzhong Song

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
727 KB
Volume
226
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

Linear systems with M-matrices often appear in a wide variety of areas. In this paper, we give general preconditioners for solving the systems with nonsingular M-matrix. We show that our preconditioners increase the convergence rate of AOR iterative methods. Numerical results for corresponding preconditioned GMRES methods are also given.

๐Ÿ“œ SIMILAR VOLUMES

A new preconditioned AOR iterative metho
A new preconditioned AOR iterative method for -matrices
โœ Hongjuan Wang; Yao-tang Li ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 438 KB

have considered the modified AOR method with a preconditioner (I + S ฮฑ ). In this paper, we present a new preconditioner (I + S ฮฑฮฒ ) instead of (I + S ฮฑ ). The comparison theorems and numerical experiments show that the proposed new method can achieve faster convergence than the preconditioner intro