Selected applications of linear semi-infinite systems theory
type: Item
instance of: scholarly article
title: Selected applications of linear semi-infinite systems theory
zbMATH Open document ID: 1475.51012
author: Andrea B. Ridolfi
author: V. N. Vera de Serio
author: Miguel Angel Goberna
published in: Vietnam Journal of Mathematics
publication date: 2021-04-29T00:00:00Z
full work available at URL: http://hdl.handle.net/10045/108699
review text: The paper first reviews known results on systems of arbitrary number (possibly infinite) of weak linear inequalities in \(\mathbb R^n\). Then applications to obtaining geometric properties of Voronoi cells, such as boundedness, polyhedrality, facial structure, extreme points and edges are explored. The authors further present applications to approximate subdifferentials and in the final part express their view that the paper could be seen as a `modest step forward in algebraization of computational geometry and mathematical analysis'.
reviewed by: Martin Lukarevski
Mathematics Subject Classification ID: 51M16
zbMATH DE Number: 7341165
zbMATH Keywords: linear inequality systems
zbMATH Keywords: computational geometry
zbMATH Keywords: Voronoi cells
zbMATH Keywords: \(\varepsilon\)-subdifferentials
MaRDI profile type: Publication
OpenAlex ID: W3024925482
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Selected applications of linear semi-infinite systems theory (DOI)
DOI: 10.1007/S10013-020-00415-1