Multiplicative Structure of the Resolvent Matrix for the Truncated Hausdorff Matrix Moment Problem

2012 ◽  
pp. 193-210 ◽  
Author(s):  
Abdon Eddy Choque Rivero
Keyword(s):  
Moment Problem ◽  
Multiplicative Structure ◽  
Resolvent Matrix ◽  
Hausdorff Matrix ◽  
Matrix Moment

Dyukarev–Stieltjes parameters of the truncated Hausdorff matrix moment problem

2016 ◽  
Vol 23 (2) ◽  
pp. 891-918 ◽  
Author(s):  
Abdon E. Choque-Rivero
Keyword(s):  
Moment Problem ◽  
Hausdorff Matrix ◽  
Matrix Moment

Tangential Nevanlinna-Pick Interpolation and Its Connection with Hamburger Matrix Moment Problem

2004 ◽  
Vol 49 (4) ◽  
Author(s):  
Yong-Jian Hu ◽  
Zheng-Hong Yang ◽  
Gong-Ning Chen
Keyword(s):  
Moment Problem ◽  
Matrix Moment

scholarly journals N-Extremal Matrices of Measures for an Indeterminate Matrix Moment Problem

2000 ◽  
Vol 174 (2) ◽  
pp. 301-321 ◽  
Author(s):  
Antonio J. Duran ◽  
Pedro Lopez-Rodriguez
Keyword(s):  
Moment Problem ◽  
Matrix Moment

General Solution of the Stieltjes Truncated Matrix Moment Problem

2005 ◽  
pp. 1-22 ◽  
Author(s):  
Vadim M. Adamyan ◽  
Igor M. Tkachenko
Keyword(s):  
General Solution ◽  
Moment Problem ◽  
Matrix Moment

On the avoidance of cancellations in the matrix moment problem

1981 ◽  
Vol 14 (8) ◽  
pp. 1887-1892 ◽  
Author(s):  
R R Whitehead ◽  
A Watt
Keyword(s):  
Moment Problem ◽  
The Matrix ◽  
Matrix Moment

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.

Geometric and operator measures of degeneracy for the set of solutions to the Stieltjes matrix moment problem

2016 ◽  
Vol 207 (4) ◽  
pp. 519-536 ◽  
Author(s):  
Yu M Dyukarev
Keyword(s):  
Moment Problem ◽  
Matrix Moment
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