On degenerate interpolation, entropy and extremal problems for matrix Schur functions

DOI10.1007/BF01194989zbMath0922.47009MaRDI QIDQ1279792

Harry Dym, Vladimir Bolotnikov

Publication date: 11 October 1999

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

zbMATH Keywords

maximum entropyPick matrixlinear fractional transformationsbitangential interpolation problemmatrix Schur functionsmaximum determinant extension problems

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 (17)

de Branges–Rovnyak Spaces and Norm-Constrained Interpolation ⋮ New interpolation solution and application in system modeling and optimal control with prescribed distance to instability ⋮ Bitangential interpolation in generalized Schur classes ⋮ On an interpolation problem for J-Potapov functions ⋮ On zeros of certain analytic functions ⋮ 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 ⋮ A generalized Schur-Takagi interpolation problem ⋮ On a bitangential interpolation problem for contractive-valued functions on the unit ball ⋮ Abstract interpolation in vector-valued de Branges-Rovnyak spaces ⋮ The matricial Schur problem in both nondegenerate and degenerate cases ⋮ A reformulation of augmented basic interpolation problem and an application to \(\mathcal{H}_\infty\) control ⋮ ${\mathscr H}_\infty$ Problem with Nonstrict Inequality and All Solutions: Interpolation Approach ⋮ A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur--Agler class ⋮ A boundary Nevanlinna-Pick problem for a class of analytic matrix-valued functions in the unit ball ⋮ Notes on interpolation in the generalized Schur class. II. Nudel’man’s problem

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