A new SOR-like method for solving absolute value equations
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Publication:2189704
DOI10.1016/j.apnum.2020.05.013zbMath1435.65049OpenAlexW3028684264MaRDI QIDQ2189704
Xu Dong, Hai-long Shen, Xin-hui Shao
Publication date: 16 June 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.05.013
Numerical mathematical programming methods (65K05) Numerical computation of solutions to systems of equations (65H10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Iterative numerical methods for linear systems (65F10)
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Two new iteration methods with optimal parameters for solving absolute value equations ⋮ Generalized SOR-like iteration method for solving weakly nonlinear systems ⋮ A modified generalized SOR-like method for solving an absolute value equation ⋮ Relaxed-based matrix splitting methods for solving absolute value equations ⋮ The new iteration methods for solving absolute value equations. ⋮ Shift-splitting fixed point iteration method for solving generalized absolute value equations ⋮ A modified inverse-free dynamical system for absolute value equations ⋮ The solution of a type of absolute value equations using two new matrix splitting iterative techniques ⋮ A modified SOR-like method for absolute value equations associated with second order cones ⋮ On the GTSOR-like Method for the Augmented systems ⋮ Absolute value equations with tensor product structure: unique solvability and numerical solution.
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