Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for H-Matrices. (17th July 2014)

• Record Type: Journal Article
• Authors: Zhang, Li-Tao; Li, Jian-Lei; Gu, Tong-Xiang; Liu, Xing-Ping
• Other Names: Shen Shuqian Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-07-17
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/594185
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : Based on the methods presented by Song and Yuan (1994), we construct relaxed matrix parallel multisplitting chaotic generalized USAOR-style methods by introducing more relaxed parameters and analyze the convergence of our methods when coefficient matrices are H -matrices or irreducible diagonally dominant matrices. The parameters can be adjusted suitably so that the convergence property of methods can be substantially improved. Furthermore, we further study some applied convergence results of methods to be convenient for carrying out numerical experiments. Finally, we give some numerical examples, which show that our convergence results are applied and easily carried out.