Bidiagonal factorization of recurrence banded matrices in mixed multiple orthogonality
Classical Analysis and ODEs
2024-10-22 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
This paper demonstrates how to explicitly construct a bidiagonal factorization of the banded recurrence matrix that appears in mixed multiple orthogonality on the step-line in terms of the coeffcients of the mixed multiple orthogonal polynomials. The construction is based on the factorization of the moment matrix and Christoffel transformations applied to the matrix of measures and the associated mixed multiple orthogonal polynomials.
Keywords
Cite
@article{arxiv.2410.15363,
title = {Bidiagonal factorization of recurrence banded matrices in mixed multiple orthogonality},
author = {Amílcar Branquinho and Juan EF Díaz and Ana Foulquié-Moreno and Hélder Lima and Manuel Mañas},
journal= {arXiv preprint arXiv:2410.15363},
year = {2024}
}
Comments
14 pages