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

被引：0
作者：
H. Saberi Najafi
S. A. Edalatpanah
A. H. Refahisheikhani
机构：
[1] Islamic Azad University,Department of Applied Mathematics, Lahijan Branch
来源：
Computational and Applied Mathematics | 2018年 / 37卷
关键词：
Preconditioning; Homotopy analysis method; Linear system; Gauss–Seidel; GMRES; -matrix; Convection–diffusion equation; Iterative method; 15A09; 65F08; 65F10;
D O I：
暂无
中图分类号：
学科分类号：
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：9
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共 94 条
[1]  
Abe K(2013)Solving linear equations with a stabilized GPBiCG method Appl Numer Math 67 4-16
[2]  
Sleijpen GL(1985)A survey of preconditioned iterative methods for linear systems of algebraic equations BIT Numer Math 25 165-187
[3]  
Axelsson O(2011)On preconditioned MHSS iteration methods for complex symmetric linear systems Numer Algorithms 56 297-317
[4]  
Bai Z-Z(2002)Preconditioning techniques for large linear systems: a survey J Comput Phys 182 418-477
[5]  
Benzi M(2008)Block preconditioning of real-valued iterative algorithms for complex linear systems IMA J Numer Anal 28 598-618
[6]  
Chen F(1997)Block alternating group explicit preconditioning (BLAGE) for a class of fourth order difference schemes Int J Comput Math 63 121-136
[7]  
Benzi M(2015)Convection-radiation heat transfer in solar heat exchangers filled with a porous medium: homotopy perturbation method versus numerical analysis Renew Energy 74 448-455
[8]  
Benzi M(1987)The block alternating group explicit method (BLAGE) for the solution of elliptic difference equations Int J Comput Math 22 177-185
[9]  
Bertaccini D(2002)Solving symmetric arrowhead and special tridiagonal linear systems by fast approximate inverse preconditioning J Math Modell Algorithms 1 269-282
[10]  
Bhuruth M(2009)High performance inverse preconditioning Arch Comput Methods Eng 16 77-108
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