Construction of a Class of Sharp Löwner Majorants for a Set of Symmetric Matrices
Joint Authors
Fernández, Mauricio
Fritzen, Felix
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-11
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Fernández, Mauricio& Fritzen, Felix. 2020. Construction of a Class of Sharp Löwner Majorants for a Set of Symmetric Matrices. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1174603
Modern Language Association (MLA)
Fernández, Mauricio& Fritzen, Felix. Construction of a Class of Sharp Löwner Majorants for a Set of Symmetric Matrices. Journal of Applied Mathematics No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1174603
American Medical Association (AMA)
Fernández, Mauricio& Fritzen, Felix. Construction of a Class of Sharp Löwner Majorants for a Set of Symmetric Matrices. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1174603
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174603