A new fixed point iterative method for solving tensor absolute value equation

The main objective of this paper is to solve tensor absolute value equation when it has a positive solution. We derive several existence conditions for the positive solution of tensor absolute value equation with some structure tensors, and then propose a new fixed point iterative method for solving...

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Bibliographic Details
Published in:Computational & applied mathematics 2024-10, Vol.43 (7), Article 396
Main Authors: Lv, Xin-Mei, Miao, Shu-Xin
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
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Summary:The main objective of this paper is to solve tensor absolute value equation when it has a positive solution. We derive several existence conditions for the positive solution of tensor absolute value equation with some structure tensors, and then propose a new fixed point iterative method for solving this class of equation. We study the convergence of the proposed method under appropriate conditions. Finally, we show the feasibility of the proposed method by three numerical examples.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-024-02913-1