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Numerical comparisons based on four smoothing functions for absolute value equation
The system of absolute value equation, denoted by AVE, is a non-differentiable NP-hard problem. Many approaches have been proposed during the past decade and most of them focus on reformulating it asExpand
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A smoothing Newton method for absolute value equation associated with second-order cone
Abstract In this paper, we consider the smoothing Newton method for solving a type of absolute value equations associated with second order cone (SOCAVE for short), which is a generalization of theExpand
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A new Newton-like method for solving nonlinear equations
This paper presents an iterative scheme for solving nonline ar equations. We establish a new rational approximation model with linear numerator and denominator which has generalizes the local linearExpand
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Neural Network for Solving SOCQP and SOCCVI Based on Two Discrete-Type Classes of SOC Complementarity Functions
TLDR
This paper focuses on solving the quadratic programming problems with second-order cone constraints (SOCQP) and the second- order cone constrained variational inequality (SOCCVI) by using the neural network. Expand
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Unified smoothing functions for absolute value equation associated with second-order cone
Abstract In this paper, we explore a unified way to construct smoothing functions for solving the absolute value equation associated with second-order cone (SOCAVE). Numerical comparisons areExpand
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Neural network based on systematically generated smoothing functions for absolute value equation
In this paper, we summarize several systematic ways of constructing smoothing functions and illustrate eight smoothing functions accordingly. Then, based on these systematically generated smoothingExpand
Applying a type of SOC-functions to solve a system of equalities and inequalities under the order induced by second-order cone
In this paper, we introduce a special type of SOC-functions which is a vectorvalued function associated with second-order cone. By using it, we construct a type of smoothing functions which convergesExpand