The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions. III: The infinitely many data case

DOI10.1016/S0024-3795(99)00241-4zbMath0953.47013WikidataQ127352764 ScholiaQ127352764MaRDI QIDQ1971036

Yong-jian Hu, Gong-Ning Chen

Publication date: 7 August 2000

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

zbMATH Keywords

Nevanlinna classHamburger moment problemSchur algorithmlinear fractional transformationNevanlinna-Pick interpolationgeneralized Schur complementmatrix continued fractionsblock Hankel vectordenumerable set of nodesinfinite generalized block Loewner matrixLoewner-Hankel matrix relationnonnegatively extendableorthogonal polynomial matricesWeyl matrix disk

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

The Weyl matrix balls corresponding to the matricial truncated Hamburger moment problem, Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences, Generalized Hermite formula for the two-sided Lagrange-Sylvester interpolation, Boundary Nevanlinna-Pick interpolation for meromorphic functions.

Cites Work

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• A unified approach to Loewner and Hankel matrices
• Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions
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• An operator-theoretic approach to theorems of the Pick-Nevanlinna and Loewner types. I
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• An indefinite metric in the Nevanlinna-Pick problem
• The Nevanlinna–Pick Problem for Matrix-Valued Functions
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