An analytical method as a preconditioning modeling for systems of linear equations

被引：9
|
作者：
Najafi, H. Saberi [1 ]
Edalatpanah, S. A. [1 ]
Refahisheikhani, A. H. [1 ]
机构：
[1] Islamic Azad Univ, Dept Appl Math, Lahijan Branch, Lahijan, Iran
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 02期
关键词：
Preconditioning; Homotopy analysis method; Linear system; Gauss-Seidel; GMRES; H-matrix; Convection-diffusion equation; Iterative method; HOMOTOPY PERTURBATION METHOD; MODIFIED ITERATIVE METHODS; COMPLEMENTARITY-PROBLEMS; CONVERGENCE; INVERSE; BLAGE;
D O I：
10.1007/s40314-016-0376-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a simple and practical preconditioner based on the homotopy analysis method. Furthermore, using this modeling, we design an efficient algorithm to solve linear systems. Within the computational framework, convection-diffusion equation candidates are investigated and evaluated. Finally, computational comparisons of the standard methods against preconditioned methods based on experiments are presented which illustrate the merits of the simplicity, power, and effectiveness of the proposed algorithm.
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页码：922 / 931
页数：10
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