Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/39325
Title: | Positive bidiagonal factorization of tetradiagonal Hessenberg matrices |
Author: | Branquinho, Amílcar Foulquié-Moreno, Ana Mañas, Manuel |
Keywords: | Banded Hessenberg matrices Oscillatory matrices Totally nonnegative matrices Continued fractions Gauss–Borel factorization Bidiagonal factorization Oscillatory retracted matrices |
Issue Date: | 15-Nov-2023 |
Publisher: | Elsevier |
Abstract: | Recently, a spectral Favard theorem was presented for bounded banded lower Hessenberg matrices that possess a positive bidiagonal factorization. The paper establishes conditions, expressed in terms of continued fractions, under which an oscillatory tetradiagonal Hessenberg matrix can have such a positive bidiagonal factorization. Oscillatory tetradiagonal Toeplitz matrices are examined as a case study of matrices that admit a positive bidiagonal factorization. Furthermore, the paper proves that oscillatory banded Hessenberg matrices are organized in rays, where the origin of the ray does not have a positive bidiagonal factorization, but all the interior points of the ray do have such a positive bidiagonal factorization. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/39325 |
DOI: | 10.1016/j.laa.2023.08.001 |
ISSN: | 0024-3795 |
Publisher Version: | https://www.sciencedirect.com/science/article/pii/S0024379523003002 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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bidiagonal_linear_algebra.pdf | 934.64 kB | Adobe PDF | View/Open |
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