Recognition of Matrices Which Are Sign-Regular of a Given Order and a Generalization of Oscillatory Matrices
- In this paper, rectangular matrices whose minors of a given order have the same strict sign are considered and sufficient conditions for their recognition are presented. The results are extended to matrices whose minors of a given order have the same sign or are allowed to vanish. A matrix A is called oscillatory if all its minors are nonnegative and there exists a positive integer k such that A^k has all its minors positive. As a generalization, a new type of matrices, called oscillatory of a specific order, is introduced and some of their properties are investigated.
| Author: | Rola AlseidiORCiD, Jürgen GarloffORCiDGND |
|---|---|
| DOI: | https://doi.org/10.7153/oam-2021-15-50 |
| ISSN: | 1846-3886 |
| Parent Title (English): | Operators and Matrices |
| Volume: | 15 |
| Document Type: | Article |
| Language: | English |
| Year of Publication: | 2021 |
| Release Date: | 2022/01/08 |
| Tag: | (Strict) sign-regularity; Oscillatory matrix; Primitive matrix; Exponent of primitivity |
| Issue: | 2 |
| First Page: | 729 |
| Last Page: | 742 |
| Institutes: | Institut für Angewandte Forschung - IAF |
| DDC functional group: | 500 Naturwissenschaften und Mathematik |
| Relevance: | Peer reviewed Publikation in Master Journal List |
| Open Access?: | Nein |
