On the spectra of Schwarz matrices with certain sign patterns
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2012
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| _version_ | 1866911026632458240 |
|---|---|
| author | Tyaglov, Mikhail |
| author_facet | Tyaglov, Mikhail |
| contents | The direct and inverse spectral problems are solved for a wide subclass of the class of Schwarz matrices. A connection between the Schwarz matrices and the so-called generalized Hurwitz polynomials is found. The known results due to H. Wall and O. Holtz are briefly reviewed and obtained as particular cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1201_0738 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | On the spectra of Schwarz matrices with certain sign patterns Tyaglov, Mikhail Spectral Theory Classical Analysis and ODEs Rings and Algebras 15A29, 47A75, 47B36, 26C10 The direct and inverse spectral problems are solved for a wide subclass of the class of Schwarz matrices. A connection between the Schwarz matrices and the so-called generalized Hurwitz polynomials is found. The known results due to H. Wall and O. Holtz are briefly reviewed and obtained as particular cases. |
| title | On the spectra of Schwarz matrices with certain sign patterns |
| topic | Spectral Theory Classical Analysis and ODEs Rings and Algebras 15A29, 47A75, 47B36, 26C10 |
| url | https://arxiv.org/abs/1201.0738 |