Geronimus spectral transforms and measures on the complex plane

DOI10.1016/j.cam.2007.06.017zbMath1149.42019OpenAlexW2071488424MaRDI QIDQ935805

Javier Hernández, Francisco Marcellán

Publication date: 8 August 2008

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.2007.06.017

zbMATH Keywords

orthogonal polynomialsLaurent polynomialsLU factorizationQR factorizationHermitian linear functionalsChristoffel transformsGeronimus transformsUvarov transforms

Mathematics Subject Classification ID

Factorization of matrices (15A23) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items

Multivariate orthogonal Laurent polynomials and integrable systems ⋮ DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems ⋮ Multivariate orthogonal polynomials and integrable systems ⋮ On the Szegő transformation for some spectral perturbations of matrix measures ⋮ Orthogonal Laurent polynomials on the unit circle, extended CMV ordering and 2D Toda type integrable hierarchies ⋮ Spectral transforms of measures and orthogonal polynomials on regions ⋮ Szegő transformations and \(n\)th order associated polynomials on the unit circle ⋮ Direct and inverse polynomial perturbations of Hermitian linear functionals ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle ⋮ Spectral transformations of measures supported on the unit circle and the Szegő transformation ⋮ Szegő transformations and rational spectral transformations for associated polynomials ⋮ Szegő and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations ⋮ Orthogonal polynomials and measures on the unit circle. The geronimus transformations

Cites Work

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