Optimal maximization and approximation algorithms for approximately calculated functions of many variables
type: Item
instance of: scholarly article
title: Optimal maximization and approximation algorithms for approximately calculated functions of many variables
zbMATH Open document ID: 0999.65009
author: V. E. Podobedov
published in: Computational Mathematics and Mathematical Physics
publication date: 2002-08-12T00:00:00Z
review text: The paper is devoted to an efficient approach to multidimensional problems in numerical analysis: to transform the domain on which a problem is defined so as to reduce the dimension of the problem. A multidimensional domain may be mapped to a one-dimensional one by invoking the Peano mapping. In this paper, the theoretical properties of the Peano mapping are analyzed together with both dimension-reducing methods as applied to maximization and approximation problems for approximately calculated Lipschitz functions of many variables.
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 1779280
zbMATH Keywords: maximization problem
zbMATH Keywords: optimal algorithms
zbMATH Keywords: dimension-reducing methods
zbMATH Keywords: Peano mapping
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1779280