Adaptive parameter based matrix splitting iteration method for the large and sparse linear systems. (15th September 2022)

• Record Type: Journal Article
• Authors: Ke, Yifen; Ma, Changfeng
• Is Part Of: Computers & mathematics with applications. Volume 122(2022)
• Page Start: 19
• Page End: 27
• Publication Date: 2022-09-15
• Subjects: Linear systems -- Adaptive parameter -- Matrix splitting -- Three-dimensional convection-diffusion equation -- Image restoration problem; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2022.07.010
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: For the large and sparse linear systems, we utilize the efficient splittings of the system matrix and introduce an intermediate variable. The main contribution of this paper is that the adaptive parameter based matrix splitting iteration method is constructed from the view of numerical optimization and hybrid procedure to solve the derived equation instead. The novel method adopts the prediction and correction two-step iteration and the global convergence results are established under some suitable conditions. Compared with some well-known methods, numerical experiments show the efficiency and effectiveness of the new proposal with application to the three-dimensional convection-diffusion equation and the image restoration problems.