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

Special Matrices (2017)

- Volume: 5, Issue: 1, page 303-318
- ISSN: 2300-7451

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topA.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 -

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