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

• Autorzy: A.E. Choque-Rivero
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Orthogonal matrix polynomials; Dyukarev-Stieltjes parameters; resolvent matrix; continued fractions

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 303-318

Daty

wydano

2017-12-20

otrzymano

2017-09-27

zaakceptowano

2017-11-28

online

2018-01-10

Twórcy

autor

A.E. Choque-Rivero

• Mich., C. P. 58048,

Identyfikatory

DOI

10.1515/spma-2017-0023