Construction of a class of sharp Löwner majorants for a set of symmetric matrices
type: Item
instance of: scholarly article
title: Construction of a class of sharp Löwner majorants for a set of symmetric matrices
zbMATH Open document ID: 1442.15029
DOI: 10.1155/2020/9091387
author: Mauricio Fernández
author: Felix Fritzen
published in: Journal of Applied Mathematics
publication date: 2020-07-03T00:00:00Z
review text: Summary: The Löwner partial order is taken into consideration in order to define Löwner majorants for a given finite set of symmetric matrices. A special class of Löwner majorants is analyzed based on two specific matrix parametrizations: a two-parametric form and a four-parametric form, which arise in the context of so-called zeroth-order bounds of the effective linear behavior in the field of solid mechanics in engineering. The condensed explicit conditions defining the convex parameter sets of Löwner majorants are derived. Examples are provided, and potential application to semidefinite programming problems is discussed. Open-source MATLAB software is provided to support the theoretical findings and for reproduction of the presented results. The results of the present work offer in combination with the theory of zeroth-order bounds of mechanics a highly efficient approach for the automated material selection for future engineering applications.
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C22
zbMATH DE Number: 7217384
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/9091387
OpenAlex ID: W3034446014
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description: scientific article; zbMATH DE number 7217384