Uvarov perturbations for matrix orthogonal polynomials
Gerardo Ariznabarreta, Juan Carlos García-Ardila, Manuel Mañas, Francisco Marcellán · Proceedings of the American Mathematical Society Series B · 2024
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.