Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/38123
Title: | Bidiagonal factorization of tetradiagonal matrices and Darboux transformations |
Author: | Branquinho, Amílcar Foulquié-Moreno, Ana Mañas, Manuel |
Keywords: | Tetradiagonal Hessenberg matrices Oscillatory matrices Totally nonnegative matrices Multiple orthogonal polynomials Favard spectral representation Darboux transformations Christofel Formulas |
Issue Date: | 16-Apr-2023 |
Publisher: | Springer |
Abstract: | Recently a spectral Favard theorem for bounded banded lower Hessenberg matrices that admit a positive bidiagonal factorization was presented. These type of matrices are oscillatory. In this paper the Lima-Loureiro hypergeometric multiple orthogonal polynomials and the Jacobi-Pi\~neiro multiple orthogonal polynomials are discussed at the light of this bidiagonal factorization for tetradiagonal matrices. The Darboux transformations of tetradiagonal Hessenberg matrices is studied and Christoffel formulas for the elements of the bidiagonal factorization are given, i.e., the bidiagonal factorization is given in terms of the recursion polynomials evaluated at the origin. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/38123 |
DOI: | 10.1007/s13324-023-00801-1 |
ISSN: | 1664-2368 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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s13324-023-00801-1-1.pdf | 551.47 kB | Adobe PDF | View/Open |
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