- Path:
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On the spectrum of tridiagonal matrices with two-periodic main diagonal
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Periodical
- Title:
- Special matrices
- Publication:
-
Warsaw: De Gruyter, Versita
- Note:
- Gesehen am 23.01.14
- Open Access
- Namensnennung 4.0 International
- Scope:
- Online-Ressource
- ISSN:
- 2300-7451
- ZDB-ID:
-
2753755-9
- VÖBB-Katalog:
- 35278167
- Keywords:
- Zeitschrift
- Classification:
- Mathematik
- Collection:
- Mathematik
- Copyright:
- Rights reserved
- Accessibility:
- Free Access
- Title:
- Special matrices
- Publication:
-
Warsaw: De Gruyter, Versita
- Note:
- Gesehen am 23.01.14
- Open Access
- Namensnennung 4.0 International
- Scope:
- Online-Ressource
- ISSN:
- 2300-7451
- ZDB-ID:
-
2753755-9
- VÖBB-Katalog:
- 35278167
- Keywords:
- Zeitschrift
- Classification:
- Mathematik
- Collection:
- Mathematik
- Copyright:
- Rights reserved
- Accessibility:
- Free Access
Article
- Title:
- On the spectrum of tridiagonal matrices with two-periodic main diagonal
- Publication:
-
Warsaw: De Gruyter, Versita, 2024
- Language:
- English
- Information:
- Abstract: We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main diagonal. Our result generalises some recent results where the latter matrix stemmed from certain discrete orthogonal polynomials including specific cases of the classical Krawtchouk and Hahn polynomials.
- Scope:
- Online-Ressource
- Note:
- Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- tridiagonal matrices ; spectrum ; eigenvectors ; two-periodic perturbation ; 15A18 ; 15B05 ; 15A15
- Classification:
- Mathematik
- Sonstiges
- Collection:
- Mathematik
- Sonstiges
- Copyright:
- CC BY
- Accessibility:
- Free Access
- Title:
- On the spectrum of tridiagonal matrices with two-periodic main diagonal
- Publication:
-
Warsaw: De Gruyter, Versita, 2024
- Language:
- English
- Information:
- Abstract: We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main diagonal. Our result generalises some recent results where the latter matrix stemmed from certain discrete orthogonal polynomials including specific cases of the classical Krawtchouk and Hahn polynomials.
- Scope:
- Online-Ressource
- Note:
- Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- tridiagonal matrices ; spectrum ; eigenvectors ; two-periodic perturbation ; 15A18 ; 15B05 ; 15A15
- Classification:
- Mathematik
- Sonstiges
- Collection:
- Mathematik
- Sonstiges
- Copyright:
- CC BY
- Accessibility:
- Free Access
