The Picard-HSS-SOR iteration method for absolute value equations

DOI10.1186/s13660-020-02525-3zbMath1503.65110OpenAlexW3111101448MaRDI QIDQ2069609

Lin Zheng

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02525-3

zbMATH Keywords

convergence analysisabsolute value equationPicard-HSS-SOR iteration method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Linear programming (90C05) Iterative numerical methods for linear systems (65F10)

Related Items (2)

Convergence results for some piecewise linear solvers ⋮ Relaxed-based matrix splitting methods for solving absolute value equations

Cites Work

• Unnamed Item
• A modified generalized Newton method for absolute value equations
• The Picard-HSS iteration method for absolute value equations
• On generalized Traub's method for absolute value equations
• Absolute value equations
• A generalized Newton method for absolute value equations
• The relaxed nonlinear PHSS-like iteration method for absolute value equations
• On developing a stable and quadratic convergent method for solving absolute value equation
• Sufficient conditions for the unsolvability and solvability of the absolute value equation
• 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
• An algorithm for computing all solutions of an absolute value equation
• On an iterative method for solving absolute value equations
• Levenberg-Marquardt method for solving systems of absolute value equations
• On the SOR-like iteration method for solving absolute value equations
• The new iteration algorithm for absolute value equation
• A quadratically convergent descent method for the absolute value equation \(Ax + B |x| = b\)
• An iterative method for solving absolute value equations and sufficient conditions for unique solvability
• A theorem of the alternatives for the equationAx+B|x| =b

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