Abstract
Orthogonal matrix polynomials on the unit circle and on a finite interval are completely determined by their reflection matrix parameters through the Szegő recurrences and by their matrix coefficients through the three-term recurrence relation, respectively. The aim of this paper is to study a connection between those matrix recurrence coefficients and to deduce relative asymptotics for orthogonal matrix polynomials with respect to a perturbed matrix measure on a finite interval.
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© 2001 Springer-Verlag Berlin Heidelberg
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Yakhlef, H.O., Marcellán, F. (2001). Orthogonal Matrix Polynomials, Connection Between Recurrences on the Unit Circle and on a Finite Interval. In: Lassonde, M. (eds) Approximation, Optimization and Mathematical Economics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-57592-1_31
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DOI: https://doi.org/10.1007/978-3-642-57592-1_31
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1363-0
Online ISBN: 978-3-642-57592-1
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