A Note on the Inner-Outer Iterative Method for Solving the Linear Equation Ax = b. (6th July 2020)

• Record Type: Journal Article
• Authors: Zhang, Li-Tao; Zuo, Xian-Yu; Gu, Tong-Xiang; Wang, Yan-Ping; Zhang, Yi-Fan; Li, Jian-Lei; Li, Sheng-Kun
• Other Names: Kazmi Kaleem R. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2020(2020)
• Publication Date: 2020-07-06
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2020/1832589
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : Recently, Tian et al. [Computers and Mathematics with Applications, 75(2018): 2710-2722] came up with the inner-outer iterative method to solve the linear equation A x = b and studied the corresponding convergence of the method. In this paper, we improve the main results of the inner-outer method and get weaker convergence results. Moreover, the parameters can be adjusted suitably so that the convergence property of the method can be substantially improved.