期刊论文

Tian, Zhaolu

英文

Applied Mathematics and Computation

0096-3003

2017

292

C

63-75

10.1016/j.amc.2016.07.026

We would like to thank the referees for their recommendations and valuable suggestions. The work is supported by the Key Laboratory of Surveying and Mapping Technology on Island and Reef, National Administration of Surveying, Mapping and Geoinfomation (2013A03), National key scientific instrument and equipment development projects (2013YQ120343), the National Natural Science Foundation of China ( 11401422 ) and the National Natural Science Foundation of China ( 11371075 ).

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In this paper, the Jacobi and Gauss-Seidel-type iteration methods are proposed for solving the matrix equation AXB = C, which are based on the splitting schemes of the matrices A and B. The convergence and computational cost of these iteration methods are discussed. Furthermore, we give the preconditioned Jacobi and Gauss-Seidel-type iteration methods. Numerical examples are given to demonstrate the efficiency of these methods proposed in this ...