Perturbation of the coefficients in the recurrence relation of a class of polynomials

DOI10.1016/0377-0427(93)E0242-EzbMath0823.42016OpenAlexW2049161668MaRDI QIDQ1893577

Panayiotis D. Siafarikas, Evangelos K. Ifantis

Publication date: 4 July 1995

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

Full work available at URL: https://doi.org/10.1016/0377-0427(93)e0242-e

zbMATH Keywords

eigenvalueszerosrecurrence relationgeneralized eigenvalue problemperturbations of rank oneco-recursive orthogonal polynomials

Mathematics Subject Classification ID

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

Related Items

A general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kind, Perturbed recurrence relations. II: The general case, Decomposition of perturbed Chebyshev polynomials, Accelerated Landweber methods based on co-dilated orthogonal polynomials, Computation of Newton sum rules for associated and co-recursive classical orthogonal polynomials, On the stability of computing polynomial roots via confederate linearizations, The extremal zeros of a perturbed orthogonal polynomials system, On the support of the measure of orthogonality of a class of orthogonal polynomials., Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle

Cites Work

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• Orthogonal polynomials with a constant recursion formula and an application to harmonic analysis
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• On the zeros of a class of polynomials including the generalized Bessel polynomials
• On Co-Recursive Orthogonal Polynomials
• A theorem concerning differentiability of eigenvectors and eigenvales with some applications
• Some Properties of the q-Hermite Polynomials
• One Dimensional Perturbations of Compact Operators