Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials
Classical Analysis and ODEs
2022-12-21 v1 Mathematical Physics
Functional Analysis
math.MP
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.
Cite
@article{arxiv.2212.10235,
title = {Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials},
author = {Amílcar Branquinho and Ana Foulquié-Moreno and Manuel Mañas},
journal= {arXiv preprint arXiv:2212.10235},
year = {2022}
}
Comments
33 pages