Some Notes on Fixed Point Iteration Methods for Solving Tensor Absolute Value Equation

Guangbin Wang , Fuping Tan

Communications on Applied Mathematics and Computation ›› : 1 -7.

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Communications on Applied Mathematics and Computation ›› :1 -7. DOI: 10.1007/s42967-025-00506-1
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Some Notes on Fixed Point Iteration Methods for Solving Tensor Absolute Value Equation

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Abstract

Recently, Lv and Miao (Appl Math Lett 154: 109109, 2024) presented a new inexact fixed point iteration method which is based on an inexact fixed point iteration method for solving the tensor absolute value equation (TAVE). In this paper, we give new convergent conditions of the inexact fixed point iteration method and the new inexact fixed point iteration method, respectively.

Keywords

Tensor absolute value equation (TAVE) / Inexact fixed point iteration method / Tensor splitting / Spectral radius / Tensor absolute value equation (TAVE) / Inexact fixed point iteration method / Tensor splitting / Spectral radius / 15A69 / 15A72 / 90C30

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Guangbin Wang, Fuping Tan. Some Notes on Fixed Point Iteration Methods for Solving Tensor Absolute Value Equation. Communications on Applied Mathematics and Computation 1-7 DOI:10.1007/s42967-025-00506-1

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Funding

Advanced Talents Foundation of Qingdao Agricultural University(6631115047)

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Shanghai University

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