More on maximum entropy interpolants and maximum determinant completions of associated Pick matrices

DOI10.1007/BF01193460zbMath0840.47009OpenAlexW4256367271MaRDI QIDQ1909671

Harry Dym

Publication date: 1 July 1996

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193460

zbMATH Keywords

positive definite matrixpositive definite completions\(\omega\)-entropy integralbitangential interpolation problem of Nevanlinna-Pick type

Mathematics Subject Classification ID

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

Related Items (6)

On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case. II ⋮ Minimum \(w\)-entropy interpolants for matricial Carathéodory functions and maximum determinant completions of associated block Pick matrix ⋮ Positive extension problems for a class of structured matrices. ⋮ Positive extension and completion problems for a class of structured matrices ⋮ An extension problem for discrete-time almost periodically correlated stochastic processes ⋮ On degenerate interpolation, entropy and extremal problems for matrix Schur functions

Cites Work

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• Two-sided Nevanlinna-Pick interpolation for a class of matrix-valued functions
• Problem of search of the minimum of entropy in indeterminate extension problems
• The commutant lifting approach to interpolation problems
• Interpolation of rational matrix functions
• On a new class of reproducing kernel spaces and a new generalization of the Iohvidov laws
• On a class of functions analytic in a half disk and an associated interpolation problem
• On a new class of structured reproducing kernel spaces
• On a new class of realization formulas and their application
• THE GENERALIZED BITANGENT CARATHÉODORY-NEVANLINNA-PICK PROBLEM, AND $ (j,J_0)$-INNER MATRIX-VALUED FUNCTIONS

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