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

A.E. Choque-Rivero. "Relations between the orthogonal matrix polynomials on [a, b], Dyukarev-Stieltjes parameters, and Schur complements." Special Matrices 5.1 (2017): 303-318. <http://eudml.org/doc/288396>.

@article{A2017,
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.},
author = {A.E. Choque-Rivero},
journal = {Special Matrices},
keywords = {Orthogonal matrix polynomials; Dyukarev-Stieltjes parameters; resolvent matrix; continued fractions},
language = {eng},
number = {1},
pages = {303-318},
title = {Relations between the orthogonal matrix polynomials on [a, b], Dyukarev-Stieltjes parameters, and Schur complements},
url = {http://eudml.org/doc/288396},
volume = {5},
year = {2017},
}

TY - JOUR
AU - A.E. Choque-Rivero
TI - Relations between the orthogonal matrix polynomials on [a, b], Dyukarev-Stieltjes parameters, and Schur complements
JO - Special Matrices
PY - 2017
VL - 5
IS - 1
SP - 303
EP - 318
AB - 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.
LA - eng
KW - Orthogonal matrix polynomials; Dyukarev-Stieltjes parameters; resolvent matrix; continued fractions
UR - http://eudml.org/doc/288396
ER -