2 papers
math.CA2025
Bidiagonal matrix factorisations related to multiple orthogonal polynomials
AmÃlcar Branquinho, Juan E. F. DÃaz, Ana Foulquié-Moreno +2
We provide necessary and sufficient conditions for the Hessenberg recurrence matrix associated with a system of multiple orthogonal polynomials to admit a factorisation as a produc…
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…