When is the Uvarov transformation positive definite?

DOI10.1007/s11075-011-9475-4zbMath1247.65012OpenAlexW1995972507MaRDI QIDQ662888

Marc Van Barel, Matthias Humet

Publication date: 13 February 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/308862

zbMATH Keywords

numerical examplesToeplitz matrixlinear functionalUvarov transformationpositive definitespectral transformation

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Quadratic and bilinear forms, inner products (15A63)

Related Items (1)

Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle

Cites Work

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• Spectral transformations for Hermitian Toeplitz matrices
• Orthogonal polynomials and measures on the unit circle. The geronimus transformations
• Christoffel transforms and Hermitian linear functionals
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle

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