Uvarov perturbations for matrix orthogonal polynomials
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.
Authors
- Manuel Mañas (ORCID: https://orcid.org/0000-0003-3764-5737)
- Gerardo Ariznabarreta
- Juan Carlos García-Ardila (ORCID: https://orcid.org/0000-0002-4386-3370)
- Francisco Marcellán (ORCID: https://orcid.org/0000-0003-4331-4475)
Institutions
- Universidad Complutense de Madrid (ES)
- Universidad Carlos III de Madrid (ES)
- Universidad Politécnica de Madrid (ES)
Publication Details
- Journal
- Proceedings of the American Mathematical Society Series B
- Published
- 2024-10-18
- DOI
- https://doi.org/10.1090/bproc/235
- Citations
- 1
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.36
Funders
- Consejería de Educación, Juventud y Deporte, Comunidad de Madrid