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

doi:10.1007/s42967-025-00506-1

Communications on Applied Mathematics and Computation ›› 2026, Vol. 8 ›› Issue (4): 1420-1426.doi: 10.1007/s42967-025-00506-1

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

Guangbin Wang¹, Fuping Tan²

1. College of Science and Information, Qingdao Agricultural University, Qingdao, 266109, Shandong, China;
2. College of Sciences, Shanghai University, Shanghai, 200444, China

收稿日期:2025-01-10 修回日期:2025-05-22 接受日期:2025-05-23 出版日期:2026-08-20 发布日期:2026-09-17
通讯作者: Fuping Tan, Email: tanfp@163.com E-mail:tanfp@163.com
基金资助:
This work was supported by the Advanced Talents Foundation of Qingdao Agricultural University, China.

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

Guangbin Wang¹, Fuping Tan²

1. College of Science and Information, Qingdao Agricultural University, Qingdao, 266109, Shandong, China;
2. College of Sciences, Shanghai University, Shanghai, 200444, China

Received:2025-01-10 Revised:2025-05-22 Accepted:2025-05-23 Online:2026-08-20 Published:2026-09-17
Supported by:
This work was supported by the Advanced Talents Foundation of Qingdao Agricultural University, China.

摘要/Abstract

摘要： 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.

关键词: Tensor absolute value equation (TAVE), Inexact fixed point iteration method, Tensor splitting, Spectral radius

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.

Key words: Tensor absolute value equation (TAVE), Inexact fixed point iteration method, Tensor splitting, Spectral radius

Guangbin Wang, Fuping Tan. Some Notes on Fixed Point Iteration Methods for Solving Tensor Absolute Value Equation[J]. Communications on Applied Mathematics and Computation, 2026, 8(4): 1420-1426.

[1]	Eisa Khosravi Dehdezi. On the Multilinear Systems, Part I: Comparison of Splittings of Tensors[J]. Communications on Applied Mathematics and Computation, 2026, 8(4): 1587-1603.
[2]	Dongdong Liu, Ting Hu, Xifu Liu. Restarted Nonnegativity Preserving Tensor Splitting Methods via Relaxed Anderson Acceleration for Solving Multilinear Systems[J]. Communications on Applied Mathematics and Computation, 2025, 7(5): 2061-2079.
[3]	Peng, Li Zhang, Xiao, Dong Zhang. The Spectral Radii of Intersecting Uniform Hypergraphs[J]. Communications on Applied Mathematics and Computation, 2021, 3(2): 243-256.

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

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

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