Extremal solutions of matricial Carathéodory problem and Nevanlinna–Pick-type interpolation for Carathéodory matrix functions in the nondegenerate case

DOI10.1080/03081087.2011.634414zbMath1257.30026OpenAlexW1968193776MaRDI QIDQ3143334

Gong-Ning Chen, Yong-jian Hu

Publication date: 29 November 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.634414

zbMATH Keywords

extremal solutionmatricial Carathéodory problemRiesz-Herglotz measureNevanlinna-Pick-type interpolation

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

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

Cites Work

• Unnamed Item
• On maximal weight solutions in a truncated trigonometric matrix moment problem
• On the multiple Nevanlinna-Pick matrix interpolation in the class \(\mathcal C_p\) and the Carathéodory matrix coefficient problem
• Problem of search of the minimum of entropy in indeterminate extension problems
• \(N\)-extremal matrices of measures for an indeterminate matrix moment problem
• Schur Parametrization of Positive Definite Block-Toeplitz Systems
• An Extension Problem for Non-Negative Hermitian Block Toeplitz Matrices
• Orthogonal polynomial matrices on the unit circle
• On a class of extremal solutions of the nondegenerate matricial Carathéodory problem
• Solution of a multiple Nevanlinna–Pick problem for Carathéodory functions via orthogonal rational functions in the matrix case