Modified AOR Iterative Method for Preconditioned Linear Systems for L-Matrices

Author

Zeng, Guang ; Huang, Jin ; Cheng, Pan

Author_Institution

Sch. of Math. & Sci., Univ. of Electron. Sci. Technol. of China, Chengdu, China

fYear

2010

fDate

18-20 June 2010

Firstpage

1

Lastpage

4

Abstract

For solving linear systems Ax = b, different preconditioned SOR methods have been proposed by many authors. In this paper, a preconditioned AOR iterative method is presented with a new preconditioner, based on the I + S(α) type preconditioning matrices provided by Hadjidjmos et al. and Evans et al.. The corresponding convergence and comparison results are given and some numerical examples are performed to illustrate the efficiency of our method.

Keywords

biology computing; convergence; finite element analysis; iterative methods; linear systems; matrix algebra; medical image processing; wavelet transforms; AOR iterative method; I + S(α) type preconditioning matrices; L-matrices; SOR methods; biomathematics; biomedical imaging; finite element discrimination; image processing; preconditioned linear systems; wavelet transform; Acceleration; Convergence of numerical methods; Finite element methods; Image processing; Iterative methods; Linear systems; Mathematics; Partial differential equations; Stability; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Bioinformatics and Biomedical Engineering (iCBBE), 2010 4th International Conference on

Conference_Location

Chengdu

ISSN

2151-7614

Print_ISBN

978-1-4244-4712-1

Electronic_ISBN

2151-7614

Type

conf

DOI

10.1109/ICBBE.2010.5516271

Filename

5516271