New results on parallel alternating iterative methods
Guangbin Wang* [1], Ting Wang[1], Fuping Tan[2], Shuqian Shen[3]* Author for corresponding; e-mail address: wguangbin750828@sina.com
Volume: Vol.40 No.4 (OCTOBER 2013)
Research Article
DOI:
Received: 30 October 2011, Revised: -, Accepted: 25 March 2013, Published: -
Citation: Wang G., Wang 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.
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.