Uvarov Perturbations for Matrix Orthogonal Polynomials

Abstract

Additive perturbations, specifically, matrix Uvarov transformations for matrix orthogonal polynomials, are under consideration. Christoffel-Uvarov formulas are deduced for the perturbed biorthogonal families, along with their matrix norms. These formulations are expressed in terms of the spectral jets of the Christoffel-Darboux kernels.

arXiv admin note: substantial text overlap with arXiv:1605.04617