Tensor splitting preconditioners for multilinear systems, By Saeed Karimi

Research

Title	Tensor splitting preconditioners for multilinear systems
Type	Article
Keywords	Multilinear system, M-tensor, tensor splitting, preconditioned methods
Journal	Journal of Mathematical Modeling
DOI	10.22124/JMM.2024.23603.2104
Researchers	Saeed Karimi (First researcher) ,

Abstract

In this paper, we propose some new preconditioners for solving multilinear system. 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.