On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials-Reference-Cited by-同舟云学术

On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials

Published:2014-01-07 Issue:8 Volume:8 Page:1645-1698
ISSN:1661-8254
Container-title:Complex Analysis and Operator Theory
language:en
Short-container-title:Complex Anal. Oper. Theory

Author:

Choque Rivero Abdon E.,Mädler Conrad

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11785-013-0349-8.pdf

Reference16 articles.

1. Chihara, T.S.: An introduction to orthogonal polynomials. In: Mathematics and its Applications, vol. 13. Gordon and Breach Science Publishers, New York (1978). MR 0481884 (58 #1979)

2. Choque Rivero, A.E.: The resolvent matrix for the Hausdorff matrix moment problem expressed in terms of orthogonal matrix polynomials. Complex Anal. Oper. Theory, 7(4), 927–944 (2013). MR 3079837 (2013e:47C05)

3. Choque Rivero, A.E., Dyukarev, Yu.M., Fritzsche, B., Kirstein, B.: A truncated matricial moment problem on a finite interval, System theory, the Schur algorithm and multidimensional analysis. In: Oper. Theory Adv. Appl., vol. 165, pp. 121–173. Birkhäuser, Basel, MR 2222521 (2006e:47032) (2006)

4. Choque Rivero, A.E., Dyukarev, Yu.M., Fritzsche, B., Kirstein, B.: A truncated matricial moment problem on a finite interval. The case of an odd number of prescribed moments, System theory, the Schur algorithm and multidimensional analysis. In: Oper. Theory Adv. Appl., vol. 176, pp. 99–164. Birkhäuser, Basel (2007). MR 2342899 (2009e:47032)

5. Christoffel, E.B.: Über die Gaussische Quadratur und eine Verallgemeinerung derselben. J. Reine Angew. Math. 55, 61–82 (1858)

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