![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
We consider matrix polynomials orthogonal with respect to a sesquilinear form such that
where is a symmetric, positive definite matrix of measures supported in some infinite subset
of the real line, and W(t) is a matrix polynomial of degree 1. We obtain a connection formula between the sequences of matrix polynomials orthogonal with respect to
and
, as well as a relation between the corresponding block Jacobi matrices. A non-symmetric sesquilinear form is also considered.
AMS Subject Classifications:
Acknowledgements
The authors thank the valuable comments of the anonymous referee. They greatly contributed to improve the presentation and contents of the manuscript.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
The work of Juan C. García-Ardila, Luis E. Garza and Francisco Marcellán was supported by Dirección General de Investigación, Desarrollo e Innovación, Ministerio de Economía y Competitividad of Spain [grant number MTM2015-65888-C04-02-P], MINECO-FEDER, UE.