Tensor splitting preconditioners for multilinear systems

Document Type : Research Article

Authors

Mathematics Department, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran

Abstract

In this paper, we propose some new preconditioners  for solving multilinear system $\mathcal{A}\mathbf{x}^{m-1}=\mathbf{b}$. These preconditioners are based on tensor splitting. We also present some theorems for analyzing and convergence of the preconditioned  Jacobi-, Gauss-Seidel-, and SOR-type iterative methods. Numerical examples are presented to verify the efficiency of the proposed preconditioned methods.

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Journal of Mathematical Modeling
Volume 12, Issue 3
September 2024
Pages 481-499

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