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GENERALIZED SOR-TYPE ITERATIVE METHOD FOR SOLVING GENERALIZED TENSOR ABSOLUTE VALUE EQUATION

delete2026-12-01
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PRE
AI
N
Nie, Yujie
S
Siqi Liang
黄娜 cover
黄娜 (Na Huang) *
DOI：10.3934/naco.2026017delete
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Abstract

Abstract

En 中文
This paper proposes a generalized SOR-type iterative method for solving the generalized tensor absolute value equation. The convergence of the method is rigorously analyzed under mild assumptions on the underlying tensor splitting and the selection of parameter pairs. In contrast to existing SOR-type iterative method, our analysis establishes a weaker convergence condition, which significantly enlarges the class of problems for which the method is applicable. Furthermore, we provide numerical experiments on a variety of test problems to validate the theoretical findings. The results confirm that the proposed method not only converges reliably under broader conditions but also achieves improved computational efficiency compared with existing approaches.
Keywords:
Tensor absolute value equation
tensor splitting
successive overrelaxation
convergence analysis

Journal

N
Numerical Algebra Control and Optimization
IF:
1.1
Papers:
22
Citations:
0

Organization

C
china agricultural university
Scholars:
5.1W
Papers: 3.0W
Citations: 43
Cited Papers

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No cited papers available