Two Fixed-Point Iteration Methods for Solving Tensor Absolute Value Equation

Bing Cheng , Guangbin Wang , Fuping Tan

Communications on Applied Mathematics and Computation ›› : 1 -8.

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Communications on Applied Mathematics and Computation ›› :1 -8. DOI: 10.1007/s42967-025-00565-4
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Two Fixed-Point Iteration Methods for Solving Tensor Absolute Value Equation

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Abstract

In this paper, two fixed-point iteration methods for solving the tensor absolute value equation (TAVE) are introduced and their convergence properties are discussed. The optimal value of the parameter for both methods is derived. Numerical experiments are provided to illustrate the effectiveness of the proposed methods.

Keywords

Tensor absolute value equation (TAVE) / Fixed-point iteration method / Convergent condition / Optimal value / 15A69 / 15A72 / 90C30

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Bing Cheng, Guangbin Wang, Fuping Tan. Two Fixed-Point Iteration Methods for Solving Tensor Absolute Value Equation. Communications on Applied Mathematics and Computation 1-8 DOI:10.1007/s42967-025-00565-4

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Funding

Advanced Talents Foundation of Qingdao Agricultural University(6631115047)

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Shanghai University

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