Abadie's constraint qualification, Hoffman's error bounds, and Hausdorff strong unicity
type: Item
instance of: scholarly article
title: Abadie's constraint qualification, Hoffman's error bounds, and Hausdorff strong unicity
zbMATH Open document ID: 0920.41016
author: Wu Li
author: Martin W. Bartelt
published in: Journal of Approximation Theory
publication date: 1999-09-02T00:00:00Z
review text: The main goal of the paper under review is to present some connections between optimization and best approximation for vector-valued functions defined on a finite set. For example, Hausdorff strong unicity for best approximation is shown to be equivalent to Abadie's constraint qualification for the associated convex quadratic feasibility problem.
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 1286393
zbMATH Keywords: best approximation
zbMATH Keywords: optimization
zbMATH Keywords: vector-valued functions
zbMATH Keywords: Hausdorff strong unicity for best approximation
zbMATH Keywords: quadratic feasibility problem
reviewed by: Cătălin Badea
MaRDI profile type: Publication
full work available at URL: jath.1997.3243
OpenAlex ID: W2020342460
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DOI: 10.1006/JATH.1997.3243
description: scientific article; zbMATH DE number 1286393