Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 15, Number 4 (2011), 1423-1436.
The Weaker Convergence of Non-stationary Matrix Multisplitting Methods for Almost Linear Systems
In 1999, Arnal et al. [Numerical linear algebra and its applications, 6(1999): 79-92] introduced the non-stationary matrix multisplitting algorithms for almost linear systems and studied the convergence of them. In this paper, we generalize Arnal’s algorithms and study the non-stationary matrix multisplitting multi-parameters methods for almost linear systems. The parameters can be adjusted suitably so that the convergence property of methods can be substantially improved. Furthermore, the convergence results of our new method in this paper are weaker than those of Arnal’s. Finally, numerical examples show that our new convergence results are better and more efficient than Arnal’s.
Taiwanese J. Math., Volume 15, Number 4 (2011), 1423-1436.
First available in Project Euclid: 18 July 2017
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Zhang, Li-Tao; Huang, Ting-Zhu; Cheng, Shao-Hua; Gu, Tong-Xiang. The Weaker Convergence of Non-stationary Matrix Multisplitting Methods for Almost Linear Systems. Taiwanese J. Math. 15 (2011), no. 4, 1423--1436. doi:10.11650/twjm/1500406354. https://projecteuclid.org/euclid.twjm/1500406354