Results 251 to 260 of about 1,483,678 (283)

The linear equation and absolute values

The Mathematics Teacher, 1963
Equation containing absolute value ...
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Some techniques for solving absolute value equations

Applied Mathematics and Computation, 2015
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Moosaei, H., Ketabchi, S., Noor, M. A., Iqbal, J., Hooshyarbakhsh, V.   +4 more
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On Generalized Traub’s Method for Absolute Value Equations

Journal of Optimization Theory and Applications, 2015
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Linear complementarity as absolute value equation solution

Optimization Letters, 2013
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On the Unique Solvability of the Absolute Value Equation

Journal of Optimization Theory and Applications, 2015
The 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.
Wu, Shi-Liang, Guo, Peng
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A Two-Step Iterative Method for Absolute Value Equations

International Journal of Computational Methods
This paper presents a new numerical iteration method for solving the absolute value equations. The proposed method uses the generalized Newton method as a predictor step, and the five-point open Newton–Cotes formula is considered the corrector step. The convergence of the proposed method is studied in detail.
Alamgir Khan, Javed Iqbal
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A Modified Generalized Newton Method for Absolute Value Equations

Journal of Optimization Theory and Applications, 2016
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Expected Residual Minimization Formulation for Stochastic Absolute Value Equations

Journal of Optimization Theory and Applications
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Tang, Jingyong, Zhou, Jinchuan
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The Picard–HSS iteration method for absolute value equations

Optimization Letters, 2014
\textit{O. L. Mangasarian} [ibid. 3, No. 1, 101--108 (2009; Zbl 1154.90599)] proposed a generalized Newton method for the absolute value equation (AVE) \(Ax - |x| = b\) and investigated its convergence properties. This paper deals with the convergence of the Picard-HSS iteration method to solve AVE, where \(A\) is a non-symmetric positive definite ...
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Flexible Operator Splitting Methods for Solving Absolute Value Equations

Journal of Scientific Computing
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Yongxin Chen, Deren Han
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