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arXiv · 2312.05137

Uvarov Perturbations for Matrix Orthogonal Polynomials

Gerardo Ariznabarreta·Juan C. García-Ardila·Manuel Mañas·Francisco Marcellán
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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.

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Gerardo Ariznabarreta, Juan C. García-Ardila, Manuel Mañas, Francisco Marcellán. 2023-12-08. Uvarov Perturbations for Matrix Orthogonal Polynomials. https://arxiv.org/abs/2312.05137

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