On maximal weight solutions of two matricial moment problems in the nondegenerate case

DOI10.1016/J.LAA.2016.05.028zbMath1350.30056OpenAlexW2398735878MaRDI QIDQ739118

Xu-Zhou Zhan, Gong-Ning Chen, Yong-jian Hu

Publication date: 17 August 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.05.028

zbMATH Keywords

orthogonal matrix polynomial maximal weight moment problem for rational matrix-valued functions N-extremal solution trigonometric matrix moment problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)

Cites Work

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On maximum mass measures in truncated matricial Hamburger moment problems and related interpolation problems
On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case. II
On maximal weight solutions in a truncated trigonometric matrix moment problem
Orthogonal rational functions and quadrature on the unit circle
On the multiple Nevanlinna-Pick matrix interpolation in the class \(\mathcal C_p\) and the Carathéodory matrix coefficient problem
Moment problems and orthogonal functions
A rational moment problem on the unit circle
On a moment problem for rational matrix-valued functions.
\(N\)-extremal matrices of measures for an indeterminate matrix moment problem
Orthogonal rational functions and tridiagonal matrices
On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices
More on a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case
On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case I
Extremal solutions of matricial Carathéodory problem and Nevanlinna–Pick-type interpolation for Carathéodory matrix functions in the nondegenerate case
Schur Parametrization of Positive Definite Block-Toeplitz Systems
ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
Matrix Analysis
Orthogonal polynomial matrices on the unit circle
On rank invariance of moment matrices of nonnegative Hermitian-valued Borel measures on the unit circle
Orthogonal rational matrix‐valued functions on the unit circle
On Maximal Weight Solutions of a Moment Problem for Rational Matrix-valued Functions
On a class of extremal solutions of the nondegenerate matricial Carathéodory problem
Orthogonal rational matrix‐valued functions on the unit circle: Recurrence relations and a Favard‐type theorem
On boundary interpolation for matrix valued Schur functions

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