scientific article

zbMath0649.93015MaRDI QIDQ3795535

Paul A. Fuhrmann

Publication date: 1987

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

reproducing kernelsinversionorthogonal matrix polynomialsrecursive algorithmsgeneralized Bezoutianspartial realization problemgeneralized Levinson algorithmHankel and Toeplitz forms

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic methods (93B25) Realizations from input-output data (93B15) Quadratic and bilinear forms, inner products (15A63) Direct numerical methods for linear systems and matrix inversion (65F05)

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On generalized spectral functions, the parametrization of block Hankel and block Jacobi matrices, and some root location problems ⋮ Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations ⋮ Dual Szegő pairs of sequences of rational matrix-valued functions ⋮ On the Hahn's property for matrix orthogonal polynomials on the unit circle ⋮ On Hankel nonnegative definite sequences, the canonical Hankel parametrization, and orthogonal matrix polynomials ⋮ Functional models in linear algebra ⋮ A functional approach to the Stein equation ⋮ A connection between orthogonal polynomials on the unit circle and matrix orthogonal polynomials on the real line ⋮ Matrix biorthogonal polynomials on the real line: Geronimus transformations

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