Characterizing centers of convex bodies via optimization
type: Item
instance of: scholarly article
title: Characterizing centers of convex bodies via optimization
zbMATH Open document ID: 0810.52005
author: Mark J. Kaiser
author: Thomas Morin
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-09-08T00:00:00Z
review text: The authors use optimization theory to introduce general planar center points as the solutions of minimization problems for certain sums or products of ``distance functions''. Many classical or more modern types of ``center'' are discussed from this point of view. In particular, the authors define logarithmic centers using logarithmic distance functions. They also give a vector characterization of these centers. Further, they investigate the concept of center points in higher dimensions.
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 49J99
zbMATH DE Number: 635944
zbMATH Keywords: convex bodies
zbMATH Keywords: optimization
zbMATH Keywords: center points
zbMATH Keywords: minimization
reviewed by: Egon Schulte
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1220
OpenAlex ID: W1979106992
DOI: 10.1006/JMAA.1994.1220
description: scientific article; zbMATH DE number 635944