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Title: Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials
Author: Branquinho, Amílcar
Foulquié-Moreno, Ana
Mañas, Manuel
Keywords: Bounded banded matrices
Oscillatory matrices
Totally nonnegative matrices
Issue Date: 1-Dec-2023
Publisher: Elsevier
Abstract: Spectral and factorization properties of oscillatory matrices lead to a spectral Favard theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in terms of sequences of mixed multiple orthogonal polynomials with respect to a set positive Lebesgue–Stieltjes measures. A mixed multiple Gauss quadrature formula with corresponding degrees of precision is given
Peer review: yes
DOI: 10.1016/j.aim.2023.109313
ISSN: 0001-8708
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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