Schur-Nevanlinna-Potapov sequences of rational matrix functions

DOI10.1016/j.cam.2009.11.046zbMath1222.47017OpenAlexW2045803338MaRDI QIDQ607243

Andreas Lasarow, Adhemar Bultheel

Publication date: 19 November 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.046

zbMATH Keywords

Schur algorithmChristoffel-Darboux formulaeNevanlinna-Pick problemorthogonal rational matrix functions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) 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)

Cites Work

• Degenerate interpolation problems for Nevanlinna pairs
• Dual Szegő pairs of sequences of rational matrix-valued functions
• Nevanlinna parametrizations for the extended interpolation problem
• Interpolation of rational matrix functions
• On rank invariance of Schwarz-Pick-Potapov block matrices of matricial Schur functions
• Orthogonal matrix polynomials and applications
• The multiplicative structure of 𝐽-contractive matrix functions
• A Schur Type Matrix Extension Problem, III
• The Nevanlinna–Pick Problem for Matrix-Valued Functions
• Commutant Lifting and Simultaneous $H^\infty $ and $L^2 $ Suboptimization
• Orthogonal polynomials
• Orthogonal polynomial matrices on the unit circle
• ON GENERALIZED SCHWARZ-PICK-POTAPOV BLOCK MATRICES OF MATRICIAL SCHUR FUNCTIONS AND OF FUNCTIONS WHICH BELONG TO THE POTAPOV CLASS
• Orthogonal rational matrix‐valued functions on the unit circle
• SCHUR–NEVANLINNA SEQUENCES OF RATIONAL FUNCTIONS
• Orthogonal rational matrix‐valued functions on the unit circle: Recurrence relations and a Favard‐type theorem
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