A square departure from symmetry in Matrix cones
- Conic optimization problems are usually understood to be problems over some cone of symmetric matrices like the semidefinite or the copositive matrix cone. In this note, we investigate the changes that have to be made when moving from symmetric to nonsymmetric matrices. We introduce the proper definitions and study the dual of a cone of nonsymmetric matrices. Next, we attempt to generalize the well known concept of cp-rank to nonsymmetric matrices. Finally, we derive some new results on symmetric and nonsymmetric copositive-plus matrices.
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| Author: | Immanuel M. Bomze, Mirjam DürGND |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/119197 |
| ISSN: | 2305-221XOPAC |
| ISSN: | 2305-2228OPAC |
| Parent Title (English): | Vietnam Journal of Mathematics |
| Publisher: | Springer |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2024 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/02/19 |
| DOI: | https://doi.org/10.1007/s10013-024-00722-x |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Diskrete Mathematik, Optimierung und Operations Research | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Latest Publications (not yet published in print): | Aktuelle Publikationen (noch nicht gedruckt erschienen) |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
