An exterior point method for computing points that satisfy second-order necessary conditions for a \(C^{1,1}\) optimization problem
type: Item
instance of: scholarly article
title: An exterior point method for computing points that satisfy second-order necessary conditions for a \(C^{1,1}\) optimization problem
zbMATH Open document ID: 0847.49019
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-10-15T00:00:00Z
review text: The author first proves a generalized chain rule for composite \(C^{1,1}\) functions and shows how to characterize twice-differentiability of max functions. Then he presents exterior point methods in a unified way which allows one to compute points which satisfy second-order necessary conditions for a constrained minimization problem in a finite-dimensional space. Finally, he shows that any limiting point of the obtained sequences satisfies the second-order necessary conditions.
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 49K10
zbMATH DE Number: 703319
zbMATH Keywords: exterior point method
zbMATH Keywords: non-smooth analysis
zbMATH Keywords: second-order optimality conditions
zbMATH Keywords: \(C^{1,1}\) functions
author: Xiao Qi Yang
reviewed by: Pierluigi Zezza
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1348
OpenAlex ID: W2035583162
DOI: 10.1006/JMAA.1994.1348
description: scientific article; zbMATH DE number 703319