3 papers
math.CA2026
Bidiagonal Factorization of Banded Recursion Matrices for Mixed-Type Multiple Orthogonal Polynomials
AmÃlcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas
Given a banded matrix with subdiagonals and superdiagonals arising from the Gauss--Borel factorization $\mathscr{M}_N = \mathscr{L}_N^{-1}\mathscr{U}_N^{-1}…
math.CA2024
Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle
Edmundo J. Huertas, Manuel Mañas
Mixed orthogonal Laurent polynomials on the unit circle of CMV type are constructed utilizing a matrix of moments and its Gauss--Borel factorization and employing a multiple extens…
math.CA2024
Bidiagonal factorization of recurrence banded matrices in mixed multiple orthogonality
AmÃlcar Branquinho, Juan EF DÃaz, Ana Foulquié-Moreno +2
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 term…