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A new concave minimization algorithm for the absolute value equation solution
In this paper, we study the absolute value equation (AVE) Ax- b= | x|. One effective approach to handle AVE is by using concave minimization methods. We propose a new method based on concave minimization methods. We establish its finite convergence under
Moslem Zamani +2 more
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On the Solvability of Tensor Absolute Value Equations
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fatemeh P. A. Beik +2 more
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A note on absolute value equations
Optimization Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sheng-Long Hu, Zheng-Hai Huang
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Optimal correction of the absolute value equations
Journal of Global Optimization, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hossein Moosaei +2 more
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On the Unique Solvability of the Absolute Value Equation
Journal of Optimization Theory and Applications, 2015The authors consider the absolute value equation \(Ax+B|x|=b\) for matrices \(A,B\in \mathbb R^{n\times n}\) and investigate its unique solvability in the case \(B=I\) and for \(A\) diagonally dominant, connected to \(M\)-matrices or being positive definite.
Shi-Liang Wu, Peng Guo
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Absolute value equations with uncertain data
Optimization Letters, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad A. Raayatpanah +2 more
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On the solution of general absolute value equations
Applied Mathematics Letters, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A class of maximum-based iteration methods for the generalized absolute value equation
In this paper, by using $|x|=2\max\{0,x\}-x$, a class of maximum-based iteration methods is established to solve the generalized absolute value equation $Ax-B|x|=b$. Some convergence conditions of the proposed method are presented.
Cuixia Li, Deren Han
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On equivalent reformulations for absolute value equations
Computational Optimization and Applications, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Difference equations with absolute values
Journal of Difference Equations and Applications, 2005We study a class of multiparameter difference equations that contain the absolute value of a difference. Using two different semiconjugate factorizations, we obtain precise information about the solutions of these equations for various ranges of parameter values.
C. M. Kent, H. Sedaghat
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