Block-Diagonal and Anti-block-Diagonal Splitting Iteration Method for Absolute Value Equation

Cui-Xia Li; Shi-Liang Wu

Simulation Tools and Techniques. 12th EAI International Conference, SIMUtools 2020, Guiyang, China, August 28-29, 2020, Proceedings, Part I

Research Article

Block-Diagonal and Anti-block-Diagonal Splitting Iteration Method for Absolute Value Equation

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@INPROCEEDINGS{10.1007/978-3-030-72792-5_45,
    author={Cui-Xia Li and Shi-Liang Wu},
    title={Block-Diagonal and Anti-block-Diagonal Splitting Iteration Method for Absolute Value Equation},
    proceedings={Simulation Tools and Techniques. 12th EAI International Conference, SIMUtools 2020, Guiyang, China, August 28-29, 2020, Proceedings, Part I},
    proceedings_a={SIMUTOOLS},
    year={2021},
    month={4},
    keywords={Absolute value equation Block-diagonal and anti-block-diagonal splitting Convergence},
    doi={10.1007/978-3-030-72792-5_45}
}

Cui-Xia Li
Shi-Liang Wu
Year: 2021
Block-Diagonal and Anti-block-Diagonal Splitting Iteration Method for Absolute Value Equation
SIMUTOOLS
Springer
DOI: 10.1007/978-3-030-72792-5_45

Cui-Xia Li¹, Shi-Liang Wu¹

1: School of Mathematics, Yunnan Normal University, Kunming

Abstract

In this paper, the absolute value equation (AVE) is equivalently reformulated as a nonlinear equation in the form of 2 times 2 blocks. A block diagonal inverse block diagonal iteration method based on block-diagonal and anti-block-diagonal splitting (BAS) is proposed. Theoretical analysis shows that BAS is convergent, and numerical experiments show that the method is effective.

Keywords: Absolute value equation Block-diagonal and anti-block-diagonal splitting Convergence

Published: 2021-04-27
Appears in: SpringerLink

: http://dx.doi.org/10.1007/978-3-030-72792-5_45

Block-Diagonal and Anti-block-Diagonal Splitting Iteration Method for Absolute Value Equation

Abstract

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