On rank variation of block matrices generated by Nevanlinna matrix functions

DOI10.1002/mana.200610759zbMath1179.47013OpenAlexW2007679883MaRDI QIDQ3623108

Yong-jian Hu, Gong-Ning Chen

Publication date: 16 April 2009

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610759

zbMATH Keywords

Nevanlinna matrix functiongeneralized block Loewner matrixgeneralized block Pick matrixHermitian measure on the real line

Mathematics Subject Classification ID

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

Cites Work

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• On rank invariance of generalized Schwarz--Pick--Potapov block matrices of matrix-valued Carathéodory functions
• On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
• Interpolation of rational matrix functions
• On rank invariance of Schwarz-Pick-Potapov block matrices of matricial Schur functions
• On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices
• ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
• On rank invariance of moment matrices of nonnegative Hermitian-valued Borel measures on the unit circle

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