Branquinho, AmílcarFoulquié-Moreno, AnaMañas Baena, Manuel EnriqueElsevier2024-01-302024-01-302023Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas, Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials, Advances in Mathematics, Volume 434, 2023, 109313, ISSN 0001-8708, https://doi.org/10.1016/j.aim.2023.109313.0001-870810.1016/j.aim.2023.109313https://hdl.handle.net/20.500.14352/96436Spectral 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articlehttps://doi.org/10.1016/j.aim.2023.109313open access517Bounded banded matricesOscillatory matricesTotally nonnegative matricesAnálisis matemático1202 Análisis y Análisis Funcional