An effective stationary iterative method via double splittings of matrices. (15th February 2019)

• Record Type: Journal Article
• Authors: Li, Rong; Fan, Hong-Tao; Zheng, Bing
• Is Part Of: Computers & mathematics with applications. Volume 77:issue 4(2019)
• Page Start: 981
• Page End: 990
• Publication Date: 2019-02-15
• Subjects: Nonsingular linear system -- Double splitting -- Iterative method -- Convergence theorem -- Comparison theorem; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2018.10.032
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, a new stationary iterative method based on two double splittings of coefficient matrix is proposed to solve linear system A x = b . Some convergence results and comparison theorems of the new method are provided. Theoretical analysis shows that this method is superior to some existing ones under certain conditions. Numerical examples are given to illustrate the theoretical results and examine the effectiveness of the proposed method.