Orthogonal Matrix Polynomials, Connection Between Recurrences on the Unit Circle and on a Finite Interval

2001 ◽  
pp. 369-382 ◽  
Author(s):  
Hossain O. Yakhlef ◽  
Francisco Marcellán
Keyword(s):  
Unit Circle ◽  
Finite Interval ◽  
Orthogonal Matrix ◽  
Matrix Polynomials ◽  
Orthogonal Matrix Polynomials

scholarly journals Relations between the orthogonal matrix polynomials on [a, b], Dyukarev-Stieltjes parameters, and Schur complements

2017 ◽  
Vol 5 (1) ◽  
pp. 303-318 ◽  
Author(s):  
A.E. Choque-Rivero
Keyword(s):  
Finite Interval ◽  
Orthogonal Matrix ◽  
Hankel Matrices ◽  
Matrix Polynomials ◽  
Orthogonal Matrix Polynomials ◽  
Nondegenerate Case ◽  
Schur Complements ◽  
Matrix Continued Fractions ◽  
Hausdorff Matrix ◽  
Matrix Moment

Abstract We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the truncated Hausdorff matrix moment (THMM) problem in the nondegenerate case. Extremal solutions of the THMM problem are described with the help of matrix continued fractions.

scholarly journals Relative asymptotics for orthogonal matrix polynomials

2012 ◽  
Vol 437 (7) ◽  
pp. 1458-1481 ◽  
Author(s):  
A. Branquinho ◽  
F. Marcellán ◽  
A. Mendes
Keyword(s):  
Orthogonal Matrix ◽  
Matrix Polynomials ◽  
Orthogonal Matrix Polynomials
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