Results 11 to 20 of about 7,772,771 (267)

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.
openaire   +2 more sources

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
openaire   +4 more sources

A New Finite-Difference Method for Nonlinear Absolute Value Equations

Mathematics
In this paper, we propose a new finite-difference method for nonconvex absolute value equations. The nonsmooth unconstrained optimization problem equivalent to the absolute value equations is considered.
Peng Wang, Yujing Zhang, Detong Zhu
doaj   +5 more sources

On equivalent reformulations for absolute value equations

Computational Optimization and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oleg Prokopyev
openaire   +3 more sources

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
doaj   +2 more sources

Solving Nonlinear Absolute Value Equations [PDF]

In this work we show that several problems naturally modeled as Nonlinear Absolute Value Equations (NAVE), can be restated as Nonlinear Complementarity Problems (NCP) and solved efficiently using smoothing regularizing techniques under mild assumptions ...
Daniilidis, Aris, Haddou, Mounir, Ley, Olivier, Le, Tri, Minh   +3 more
core   +11 more sources

A new two-step iterative method for solving absolute value equations

Journal of Inequalities and Applications, 2019
We describe a new two-step iterative method for solving the absolute value equations Ax−|x|=b $Ax-|x|=b$, which is an NP-hard problem. This method is globally convergent under suitable assumptions.
Jingmei Feng, Sanyang Liu
doaj   +2 more sources

The Error and Perturbation Bounds of the General Absolute Value Equations [PDF]

Journal of Optimization Theory and Applications
To our knowledge, the error and perturbation bounds of the general absolute value equations are not discussed. In order to fill in this study gap, in this paper, by introducing a class of absolute value functions, we study the error and perturbation bounds of two types of the general absolute value equations (AVEs): $Ax-B|x|=b$ and $Ax-|Bx|=b$.
Cui-Xia Li, Shi-Liang Wu
core   +4 more sources

The new iteration methods for solving absolute value equations [PDF]

, 2023
summary:Many problems in operations research, management science, and engineering fields lead to the solution of absolute value equations. In this study, we propose two new iteration methods for solving absolute value equations $ Ax-|x| = b$, where $A ...
Ali, Rashid, Pan, Kejia
core   +3 more sources

Interval algorithm for absolute value equations

Open Mathematics, 2011
Abstract We investigate the absolute value equations Ax−|x| = b. Based on ɛ-inflation, an interval verification method is proposed. Theoretic analysis and numerical results show that the new proposed method is effective.
Wang Aixiang, Wang Haijun, Deng Yongkun
doaj   +2 more sources