Title
Adaptive parameter based matrix splitting iteration method for the large and sparse linear systems
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.
Year
DOI
Venue
2022
10.1016/j.camwa.2022.07.010
Computers & Mathematics with Applications
Keywords
DocType
Volume
Linear systems,Adaptive parameter,Matrix splitting,Three-dimensional convection-diffusion equation,Image restoration problem
Journal
122
ISSN
Citations 
PageRank 
0898-1221
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Yifen Ke100.34
Changfeng Ma219729.63