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arXiv · 2212.10235

Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials

Amílcar Branquinho·Ana Foulquié-Moreno·Manuel Mañas
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Abstract

Spectral and factorization properties of oscillatory matrices leads 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.

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Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas. 2022-12-20. Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials. https://arxiv.org/abs/2212.10235

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