Results 231 to 240 of about 8,237,670 (265)

Smoothing techniques in solving non-Lipschitz absolute value equations

International Journal of Computational Mathematics, 2022
In this study, we define for the first time the non-Lipschitz generalization of absolute value equations and concentrate on solving the problem of non-Lipschitz absolute value equations based on smoothing techniques.
Nurullah Yilmaz, A. Şahiner
semanticscholar   +1 more source

Randomized iterative methods for generalized absolute value equations: Solvability and error bounds

SIAM Journal on Optimization
Randomized iterative methods, such as the Kaczmarz method and its variants, have gained growing attention due to their simplicity and efficiency in solving large-scale linear systems.
Jia-Xin Xie, Houduo Qi, Deren Han
semanticscholar   +1 more source

Unified Single-Layer Inverse-Free Neurodynamic Network for Solving Absolute Value Equations

IEEE Transactions on Circuits and Systems - II - Express Briefs
This technical note presents a unified single-layer inverse-free neurodynamic network (SINN) to tackle absolute value equations (AVEs). A new global error bound for AVE is established and it is tighter than existing error bounds.
Xin Han, Xing He, Xingxing Ju, Jiawei Chen   +3 more
semanticscholar   +1 more source

Further study on two fixed point iterative schemes for absolute value equations

Computational and Applied Mathematics
In this paper, we reconsider two iterative methods for solving absolute value equations (AVE), which were proposed by Ali and Pan (Jpn J Ind Appl Math 40:303–314, 2023).
Jia-Yu Liu, Tingting Luo, Cairong Chen
semanticscholar   +1 more source

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

Engineering computations
PurposeThis study presents a two-step numerical iteration method specifically designed to solve absolute value equations. The proposed method is valuable and efficient for solving absolute value equations.
Alamgir Khan, Javed Iqbal, Rasool Shah
semanticscholar   +1 more source

The Error and Perturbation Bounds of the General Absolute Value Equations

Journal of Optimization Theory and Applications, 2022
To our knowledge, the error and perturbation bounds of the general absolute value equations (AVE) 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 ...
Cuixia Li, Shi-Liang Wu
semanticscholar   +1 more source

A monotone block coordinate descent method for solving absolute value equations

Applied Mathematics Letters
In this paper, we proposed a monotone block coordinate descent method for solving absolute value equation (AVE). Under appropriate conditions, we analyzed the global convergence of the algorithm and conduct numerical experiments to demonstrate its ...
Tingting Luo, Jia-Yu Liu, Cairong Chen, Qun Wang   +3 more
semanticscholar   +1 more source

An inverse-free dynamical system for solving the absolute value equations

, 2021
Cai-Rong Chen, Yinong Yang, D. Yu, Deren Han   +3 more
semanticscholar   +1 more source

Some notes on the solvability conditions for absolute value equations

Optimization Letters, 2022
M. Hladík, H. Moosaei
semanticscholar   +1 more source

Two new fixed point iterative schemes for absolute value equations

Japan journal of industrial and applied mathematics, 2022
Rashid Ali, Kejia Pan
semanticscholar   +1 more source