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On the sensitivity of orthogonal polynomials to perturbations in the moments

✍ Scribed by Walter Gautschi

Book ID
105174701
Publisher
Springer-Verlag
Year
1986
Tongue
English
Weight
572 KB
Volume
48
Category
Article
ISSN
0029-599X

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πŸ“œ SIMILAR VOLUMES

The extremal zeros of a perturbed orthog
The extremal zeros of a perturbed orthogonal polynomials system
✍ Elie Leopold πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 844 KB

The purpose of this paper is to study how the exlremal zeros of a family of orthogonal polynomials evolve when we perturb the coefficient of the recurrence relation defining the family. To this end we shall compare the extremal zeros with the corresponding zeros in the perturbed ease.

Perturbation of Orthogonal Polynomials o
Perturbation of Orthogonal Polynomials on an Arc of the Unit Circle, II
✍ Leonid Golinskii; Paul Nevai; Ferenc PintΓ©r; Walter Van Assche πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 222 KB

Orthogonal polynomials on the unit circle are fully determined by their reflection coefficients through the Szego recurrences. Assuming that the reflection coefficients converge to a complex number a with 0< |a| <1, or, in addition, they form a sequence of bounded variation, we analyze the orthogona