Regularization methods for solving unstable minimization problems of the first kind with an inaccurately given set.
type: Item
instance of: scholarly article
title: Regularization methods for solving unstable minimization problems of the first kind with an inaccurately given set.
zbMATH Open document ID: 1041.49030
author: F. P. Vasil'ev
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-06-26T00:00:00Z
review text: The author considers the minimization of a function \(J(u)\) on a set \(U\), which can be briefly written as \(J(u) \rightarrow\inf\), \(u\in U\). Two regularization methods are suggested for this minimization problem in which not only the objective function but also the set where the infimum is sought are given inaccurately. The convergence of the methods is analyzed.
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 49M37
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 1849235
zbMATH Keywords: minimization problem
zbMATH Keywords: regularization method
zbMATH Keywords: unstable
zbMATH Keywords: penalty functions
zbMATH Keywords: convergence
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1849235