On the SOR-like iteration method for solving absolute value equations

DOI10.1016/j.aml.2019.03.033zbMath1437.65044OpenAlexW2945383297MaRDI QIDQ2274909

Peng Guo, Cui-Xia Li, Shi-Liang Wu

Publication date: 1 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.03.033

zbMATH Keywords

convergence analysismatrix splittingabsolute value equationSOR-like method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10)

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Cites Work

• Unnamed Item
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• Unnamed Item
• A modified generalized Newton method for absolute value equations
• The Picard-HSS iteration method for absolute value equations
• Absolute value equations
• Absolute value programming
• A generalized Newton method for absolute value equations
• The unique solution of the absolute value equations
• A generalization of the Gauss-Seidel iteration method for solving absolute value equations
• SOR-like iteration method for solving absolute value equations
• Modified Newton-type iteration methods for generalized absolute value equations
• Absolute value equation solution via concave minimization
• Complementary pivot theory of mathematical programming
• A Preconditioned AOR Iterative Method for the Absolute Value Equations
• A theorem of the alternatives for the equationAx+B|x| =b
• SOR-like methods for augmented systems

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