Title :
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
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;
Conference_Titel :
Bioinformatics and Biomedical Engineering (iCBBE), 2010 4th International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-4712-1
Electronic_ISBN :
2151-7614
DOI :
10.1109/ICBBE.2010.5516271
