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New results on parallel alternating iterative methods


Paper Type 
 Contributed Paper
Title 
 New results on parallel alternating iterative methods
Author 
 Guangbin Wang* [1], Ting Wang[1], Fuping Tan[2], Shuqian Shen[3]
Email 
 wguangbin750828@sina.com
Abstract:

In this paper, we give some new results on parallel synchronous alternating iterative methods for solving the system of linear equations . Firstly, we give two convergence theorems when the coefficient matrix is a nonsingular H-matrix by using an H-compatible multisplitting. Secondly, we give some comparison theorems of the spectral radius of the iterative matrix when the coefficient matrix is a monotone matrix and give two examples to show our results.

Start & End Page 
 713 - 724
Received Date 
 2011-10-30
Revised Date 
Accepted Date 
 2013-03-25
Full Text 
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Keyword 
 parallel synchronous alternating method, -matrix;H-compatible multisplitting, monotone matrix, weak nonnegative of the first type, weak nonnegative of the second type
Volume 
 Vol.40 No.4 (OCTOBER 2013)
DOI 
Citation 
 [1] G.W., Wang[1] T., Tan[2] F. and Shen[3] S., New results on parallel alternating iterative methods, Chiang Mai Journal of Science, 2013; 40(4): 713-724.
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