DocumentCode
3523014
Title
The new iterative methods for the solution of H-matrices linear equations
Author
Shen, Hai-long ; Shao, Xin-hui ; Zhang, Tie
Author_Institution
Coll. of Sci., Northeastern Univ., Shenyang, China
Volume
Part 1
fYear
2011
fDate
3-5 Sept. 2011
Firstpage
251
Lastpage
253
Abstract
In [1], the modified Gauss-Seidel method with a preconditioning matrix was proposed. And the authors of [1] obtained the result that the convergence rate of the new method with a preconditioning matrix was better than that of the basic iterative method. In this paper, we proposed the new preconditioning matrix and provided the convergence theorems of the new method. Finally, numerical example shows that the convergence rate of the new iterative method is superior to the corresponding classical Gauss-Seidel method.
Keywords
convergence of numerical methods; iterative methods; matrix algebra; H-matrices linear equations; convergence theorems; iterative methods; modified Gauss-Seidel method; preconditioning matrix; Books; Convergence; Educational institutions; Equations; Iterative methods; Linear systems; Optimized production technology; Gauss-Seidel method; Hmatrices; Iterative method; comparison; convergence;
fLanguage
English
Publisher
ieee
Conference_Titel
Industrial Engineering and Engineering Management (IE&EM), 2011 IEEE 18Th International Conference on
Conference_Location
Changchun
Print_ISBN
978-1-61284-446-6
Type
conf
DOI
10.1109/ICIEEM.2011.6035151
Filename
6035151
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