| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2024-0006 |
| The Newton-type splitting iterative method for a class of coupled Sylvester-like absolute value equation |
| Changfeng Ma,Yajun Xie,Yuhong Wu |
| Keywords:coupled Sylvester-like absolute value equation unique solution kronecker product bimatrix splitting |
| Abstract: |
| In this paper, the Newton-type splitting iterative method for a class of coupled Sylvester-like absolute value equation is proposed. Some sufficient conditions for the existence of the unique solution of the coupled Sylvester-like absolute value equation are given and sufficient conditions for the nonexistence of solution is discussed. The Newton-base bimatrix splitting iteration method, the Newton-base generalized Gauss-Seidel bimatrix splitting iteration method and the inexact relaxed generalized Newton bimatrix splitting method are proposed to solve the coupled Sylvester-like absolute value equation. Numerical experiments confirm the conclusions proposed in this paper. |
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