Results 221 to 230 of about 8,237,670 (265)

Stochastic absolute value equations

open access: yesJournal 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 ...
Shou-Qiang Du
exaly   +3 more sources

Characterization of unique solvability of absolute value equations: an overview, extensions, and future directions [PDF]

open access: yesOptimization Letters, 2023
This paper provides an overview of the necessary and sufficient conditions for guaranteeing the unique solvability of absolute value equations. In addition to discussing the basic form of these equations, we also address several generalizations ...
Shubham Kumar   +3 more
semanticscholar   +3 more sources

A new two-step iterative technique for efficiently solving absolute value equations

Engineering Computations
PurposeThis work presents a new two-step iterative technique for solving absolute value equations. The developed technique is valuable and effective for solving the absolute value equation.

exaly   +2 more sources

Neurodynamic optimization approaches with finite/fixed-time convergence for absolute value equations

Neural Networks, 2023
This paper proposes three novel accelerated inverse-free neurodynamic approaches to solve absolute value equations (AVEs). The first two are finite-time converging approaches and the third one is a fixed-time converging approach.
Xingxing Ju   +3 more
semanticscholar   +1 more source

The neural network models with delays for solving absolute value equations

Neurocomputing, 2023
An inverse-free neural network model with mixed delays is proposed for solving the absolute value equation (AVE) $Ax -|x| - b =0$, which includes an inverse-free neural network model with discrete delay as a special case. By using the Lyapunov-Krasovskii
D. Yu   +3 more
semanticscholar   +1 more source

New generalized Gauss–Seidel iteration methods for solving absolute value equations

Mathematical methods in the applied sciences, 2023
The Gauss–Seidel iteration method is an effective technique for solving absolute value equations (AVEs). However, this method is often inefficient and cannot be used when the problem size increases.
Rashid Ali, Kejia Pan
semanticscholar   +1 more source

A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations

Journal of Computational and Applied Mathematics, 2023
A generalization of the Newton-based matrix splitting iteration method (GNMS) for solving the generalized absolute value equations (GAVEs) is proposed. Under mild conditions, the GNMS method converges to the unique solution of the GAVEs. Moreover, we can
Xuehua Li, Cairong Chen
semanticscholar   +1 more source

Neurodynamic Network for Absolute Value Equations: A Fixed-Time Convergence Technique

IEEE Transactions on Circuits and Systems - II - Express Briefs, 2022
In this brief, a novel projection neurodynamic network with fixed-time convergence is proposed for solving absolute value equations. In contrast to most existing projection neurodynamic networks, a conservative settling time of the proposed projection ...
Xingxing Ju   +3 more
semanticscholar   +1 more source

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