The Jacobi and Gauss–Seidel-type iteration methods for the matrix equation AXB=C

Zhaolu Tian, Maoyi Tian, Zhongyun Liu and Tongyang Xu

Applied Mathematics and Computation, 2017, vol. 292, issue C, 63-75

Abstract: 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 paper.

Keywords: Jacobi-type iteration; Gauss–Seidel-type iteration; Preconditioned; Kronecker products (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:292:y:2017:i:c:p:63-75

DOI: 10.1016/j.amc.2016.07.026

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