Schur-Nevanlinna-Potapov sequences of rational matrix functions
From MaRDI portal
Publication:607243
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
Schur algorithmChristoffel-Darboux formulaeNevanlinna-Pick problemorthogonal rational matrix functions
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 SzegĹ 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 đ˝-contractive matrix functions
- A Schur Type Matrix Extension Problem, III
- The NevanlinnaâPick 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 matrixâvalued functions on the unit circle
- SCHURâNEVANLINNA SEQUENCES OF RATIONAL FUNCTIONS
- Orthogonal rational matrixâvalued functions on the unit circle: Recurrence relations and a Favardâtype theorem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item