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

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

scholarly journals On maximal weight solutions in a truncated trigonometric matrix moment problem

2010 ◽  
Vol 43 (2) ◽  
pp. 117-128 ◽  
Author(s):  
Andreas Lasarow
Keyword(s):  
Moment Problem ◽  
Maximal Weight ◽  
Matrix Moment

scholarly journals The Nevanlinna parametrization for a matrix moment problem

2001 ◽  
Vol 89 (2) ◽  
pp. 245 ◽  
Author(s):  
Pedro Lopez-Rodriguez
Keyword(s):  
Half Plane ◽  
Moment Problem ◽  
Matrix Function ◽  
Unitary Matrix ◽  
Matrix Functions ◽  
Matrix Polynomials ◽  
Analytic Matrix ◽  
The Matrix ◽  
Upper Half Plane ◽  
Matrix Moment

We obtain the Nevanlinna parametrization for an indeterminate matrix moment problem, giving a homeomorphism between the set $V$ of solutions to the matrix moment problem and the set $\mathcal V$ of analytic matrix functions in the upper half plane such that $V(\lambda )^*V(\lambda )\le I$. We characterize the N-extremal matrices of measures (those for which the space of matrix polynomials is dense in their $L^2$-space) as those whose corresponding matrix function $V(\lambda )$ is a constant unitary matrix.

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

Density Questions for the Truncated Matrix Moment Problem

1997 ◽  
Vol 49 (4) ◽  
pp. 708-721 ◽  
Author(s):  
Antonio J. Duran ◽  
Pedro Lopez-Rodriguez
Keyword(s):  
Moment Problem ◽  
Positive Definite ◽  
Positive Definite Matrices ◽  
Extremal Measures ◽  
Matrix Moment

AbstractFor a truncated matrix moment problem, we describe in detail the set of positive definite matrices of measures μ in V2n (this is the set of solutions of the problem of degree 2n) for which the polynomials up to degree n are dense in the corresponding space L2(μ). These matrices of measures are exactly the extremal measures of the set Vn.

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