期刊论文

Zhang, Yulin

英文

Applied Mathematics and Computation

0096-3003

2020

378

125195

10.1016/j.amc.2020.125195

The authors would like to thank the supports of the National Natural Science Foundation of China under Grant no. 11371075 , the Hunan Key Laboratory of mathematical modeling and analysis in engineering, China, and the Portuguese Funds through FCT–Fundacão para a Ciência e a Tecnologia, within the Project UID/MAT/00013/2013.

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Stationary splitting iterative methods for solving AXB = C are considered in this paper. The main tool to derive our new method is the induced splitting of a given nonsingular matrix A = M - N by a matrix H such that (I - H)(-1) exists. Convergence properties of the proposed method are discussed and numerical experiments are presented to illustrate its computational efficiency and the effectiveness of some preconditioned variants. In particular, for certain surface fitting applications our method is much more efficient than the progressive iterative approximation (PIA), a conventional iterativ...