Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
- Let A = [a_ij] be a real symmetric matrix. If f:(0,oo)-->[0,oo) is a Bernstein function, a sufficient condition for the matrix [f(a_ij)] to have only one positive eigenvalue is presented. By using this result, new results for a symmetric matrix with exactly one positive eigenvalue, e.g., properties of its Hadamard powers, are derived.
| Author: | Doaa Al-SaafinORCiD, Jürgen GarloffORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1515/spma-2020-0009 |
| ISSN: | 2300-7451 |
| Parent Title (English): | Special Matrices |
| Volume: | 8 |
| Publisher: | De Gruyter |
| Place of publication: | Warsaw |
| Document Type: | Article |
| Language: | English |
| Year of Publication: | 2020 |
| Release Date: | 2021/01/08 |
| Tag: | Bernstein function; Hadamard power; Hadamard inverse; Infinitely divisible matrix; Conditionally negative semidefinite matrix |
| Issue: | 1 |
| First Page: | 98 |
| Last Page: | 103 |
| DDC functional group: | 500 Naturwissenschaften und Mathematik |
| Open Access?: | Ja |
| Relevance: | Wiss. Zeitschriftenartikel reviewed: Listung in Positivlisten |
| Licence (German): |  Creative Commons - CC BY - Namensnennung 4.0 International |
