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A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation

Yuhan Chen and Chenliang Li
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Yuhan Chen: School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, China
Chenliang Li: School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China

Mathematics, 2022, vol. 10, issue 7, 1-9

Abstract: In this paper, a tensor splitting AOR iterative method for solving the H + -tensor absolute value equation is presented. Some sufficient conditions for the existence of the solution to the tensor absolute value equation are given. Under suitable conditions, the new method is proved to be convergent. Finally, some numerical examples demonstrate that our new method is effective.

Keywords: ? + -tensor; tensor absolute value equation; AOR method; tensor splitting (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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