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Stochastic absolute value equations
We propose a new kind of stochastic absolute value equations involving absolute values of variables. By utilizing an equivalence relation to stochastic bilinear program, we investigate the expected value formulation for the proposed stochastic absolute value equations.
Shouqiang Du, Du Shouqiang
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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 +2 more
exaly +2 more sources
Tensor absolute value equations [PDF]
This paper is concerned with solving some structured multi-linear systems, which are called tensor absolute value equations. This kind of absolute value equations is closely related to tensor complementarity problems and is a generalization of the well-known absolute value equations in the matrix case.
Shouqiang Du, Liqun Qi, Du Shouqiang
exaly +4 more sources
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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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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On Generalized Traub’s Method for Absolute Value Equations
Journal of Optimization Theory and Applications, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F Khaksar Haghani
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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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A dynamic model to solve the absolute value equations
Journal of Computational and Applied Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amin Mansoori, Majid Erfanian
exaly +3 more sources
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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