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Bounds for the solutions of absolute value equations

Computational Optimization and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On unique solvability of the absolute value equation

Optimization Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An efficient algorithm for solving absolute value equations

2021
Summary: Recently, absolute value equations (AVEs) are lied in the consideration center of some researchers since they are very suitable alternatives for many frequently occurring optimization problems. Therefore, finding a fast solution method for these type of problems is very significant.
Jahromi, Alireza Fakharzadeh   +1 more
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Semidefinite Relaxation Methods for Tensor Absolute Value Equations

SIAM Journal on Matrix Analysis and Applications, 2023
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Anwa Zhou, Kun Liu, Jinyan Fan
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The Sparsest Solution to the System of Absolute Value Equations

Journal of the Operations Research Society of China, 2015
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Zhang, Min, Huang, Zheng-Hai, Li, Yu-Fan
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Solving tensor absolute value equation

Applied Numerical Mathematics, 2021
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Jiang, Zhuling, Li, Jicheng
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On an iterative method for solving absolute value equations

Optimization Letters, 2011
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Muhammad Aslam Noor   +3 more
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A note on unique solvability of the absolute value equation

Optimization Letters, 2019
Let \(A\) and \(B\) be \(n\times n\) matrices and \(b\) an \(n\)-vector. The authors prove that, if the maximal singular value of \(B\) is strictly larger than the minimal singular value of \(A\), then the equation \(Ax + B|x| = b\) has a unique solution.
Shi-Liang Wu, Cui-Xia Li
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The linear equation and absolute values

The Mathematics Teacher, 1963
Equation containing absolute value ...
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The new iteration algorithm for absolute value equation

Applied Mathematics Letters, 2020
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