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http://hdl.handle.net/10773/40344| Title: | On the hyperbolicity of the Krein space numerical range |
| Author: | Bebiano, N. Lemos, R. Soares, G. |
| Keywords: | Indefinite numerical range Classical numerical range J-Hermitian matrix Hyperbolical range theorem |
| Issue Date: | 2023 |
| Publisher: | Taylor & Francis |
| Abstract: | In this paper a necessary and sufficient condition for hyperbolicity of the indefinite numerical range is established. As a consequence, an indefinite version of Brown–Spitkovsky theorem stating the ellipticity of the numerical range of certain tridiagonal matrices is revisited. This result leads to necessary and sufficient conditions for hyperbolicity of indefinite numerical ranges of new classes of tridiagonal matrices. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/40344 |
| DOI: | 10.1080/03081087.2023.2251648 |
| ISSN: | 0308-1087 |
| Publisher Version: | https://www.tandfonline.com/action/journalInformation?journalCode=glma20 |
| Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Hyperbol_BLS_2022_apos_referee.pdf | 351.35 kB | Adobe PDF | View/Open |
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