Results 11 to 20 of about 7,857,635 (191)

Absolute value equations [PDF]

Linear Algebra and its Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mangasarian, O.L., Meyer, R.R.
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A Penalized-Equation-Based Generalized Newton Method for Solving Absolute-Value Linear Complementarity Problems [PDF]

Journal of Mathematics, 2014
We consider a class of absolute-value linear complementarity problems. We propose a new approximation reformulation of absolute value linear complementarity problems by using a nonlinear penalized equation.
Yuan Li, Hai-Shan Han, Dan-Dan Yang
doaj   +2 more sources

A Relaxation Iteration Method with Three Parameters for Solving Absolute Value Equation

Journal of Function Spaces
In this paper, a new matrix splitting iteration method is presented to solve the absolute value equation. The proposed method has three parameters, and it is expected that its convergence efficiency can be improved by selecting appropriate parameters ...
Lu-Lin Yan, Yi-Xin Jiang, Shu-Xin Miao
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A Two-Step Matrix-Splitting Iterative Method for Solving the Generalized Absolute Value Equation

Journal of Mathematics
In this paper, we present a two-step Newton-based matrix-splitting iteration method for solving the generalize absolute value equation. This method can produce a number of two-step Newton-based relaxation iteration algorithms with the right matrix ...
Lin Zheng, Yangxin Tang
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New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation [PDF]

Journal of Numerical Analysis and Approximation Theory, 2023
In this article, some new sufficient conditions for the unique solvability of a new class of Sylvester-like absolute value matrix equation \(AXB - \vert CXD \vert =F\) are given.
Shubham Kumar, Deepmala, Roshan Lal Keshtwal   +2 more
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A Three-Step Iterative Method for Solving Absolute Value Equations

Journal of Mathematics, 2020
In this paper, we transform the problem of solving the absolute value equations (AVEs) Ax−x=b with singular values of A greater than 1 into the problem of finding the root of the system of nonlinear equation and propose a three-step algorithm for solving
Jing-Mei Feng, San-Yang Liu
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Generalized Perron Roots and Solvability of the Absolute Value Equation [PDF]

SIAM Journal on Matrix Analysis and Applications, 2023
Abstract. Let [Formula: see text] be an [Formula: see text] real matrix. The piecewise linear equation system [Formula: see text] is called an absolute value equation (AVE). It is well known to be equivalent to the linear complementarity problem.
Manuel Radons, Josué Tonelli-Cueto
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Overdetermined Absolute Value Equations

, 2019
We consider existence, uniqueness and computation of a solution of an absolute value equation in the overdetermined case.
Rohn, Jiří
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A globally and quadratically convergent method for absolute value equations

Computational Optimization and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caccetta, Louis, Qu, B., Zhou, Guanglu
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Stochastic absolute value equations

Journal of Applied Mathematics and Computing, 2022
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, Jingjing Sun, Shengqun Niu, Liping Zhang   +3 more
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