A method of approximating a quasidifferential
type: Item
instance of: scholarly article
title: A method of approximating a quasidifferential
zbMATH Open document ID: 0852.65056
author: A. A. Gasanov
author: A. M. Bagirov
published in: Computational Mathematics and Mathematical Physics
publication date: 1996-12-04T00:00:00Z
review text: The theory of quasidifferentials (QD) is a convenient mechanism for solving many problems in non smooth analysis and non smooth optimization. A calculus with equalities has been constructed for QD. Numerical minimization techniques have been devised which use QD. However, in the best case the components of the QD of non smooth functions are mappings which are semicontinuous from above, making them difficult to use in numerical minimization. This explains the importance of investigating continuous approximations of QD. The numerical method of approximating QD proposed in this paper uses the function values only. Thus, first, a relation is established between the QD of a function and its value and, second, a method for constructing a continuous approximation of the QD of a function, using the concept of a discrete gradient, is proposed.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 921577
zbMATH Keywords: quasidifferentials
zbMATH Keywords: non smooth analysis
zbMATH Keywords: non smooth optimization
zbMATH Keywords: continuous approximations
zbMATH Keywords: discrete gradient
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 921577