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Bounds for the solutions of absolute value equations
Computational Optimization and Applications, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On unique solvability of the absolute value equation
Optimization Letters, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An efficient algorithm for solving absolute value equations
2021Summary: 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, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Min, Huang, Zheng-Hai, Li, Yu-Fan
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Solving tensor absolute value equation
Applied Numerical Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Zhuling, Li, Jicheng
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On an iterative method for solving absolute value equations
Optimization Letters, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Aslam Noor +3 more
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A note on unique solvability of the absolute value equation
Optimization Letters, 2019Let \(A\) 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, 1963Equation containing absolute value ...
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The new iteration algorithm for absolute value equation
Applied Mathematics Letters, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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