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oai:docta.ucm.es:20.500.14352/723132024-08-26T16:38:43Zcom_20.500.14352_14col_20.500.14352_15

Branquinho, Amilcar Foulquié Moreno, Ana Mañas Baena, Manuel Enrique 2023-06-22T11:19:13Z 2023-06-22T11:19:13Z 2023-06 1664-2368 10.1007/s13324-023-00801-1 https://hdl.handle.net/20.500.14352/72313 http://dx.doi.org/10.1007/s13324-023-00801-1 https://link.springer.com/ 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-Pineiro 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. eng https://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España Bidiagonal factorization of tetradiagonal matrices and Darboux transformations journal article