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Brauer and Gersgorin Locations of Zeros of Perturbed Chebyshev Polynomials of the Second Kind by Dilation

Title
Brauer and Gersgorin Locations of Zeros of Perturbed Chebyshev Polynomials of the Second Kind by Dilation
Type
Article in International Scientific Journal
Year
2024
Authors
Maria Zélia Rocha
(Author)
FCUP
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Journal
Vol. 18
ISSN: 1661-8270
Publisher: Springer Nature
Indexing
Publicação em ISI Web of Knowledge ISI Web of Knowledge - 0 Citations
Publicação em Scopus Scopus - 0 Citations
Other information
Authenticus ID: P-010-Z11
Abstract (EN): We consider some perturbations of Chebyshev polynomials of the second kind obtained by modifying by dilation one of its recurrence coefficients at an arbitrary order. By applying Brauer and Gersgorin theorems to Jacobi matrices associated with such perturbed sequences we obtain some locations of their zeros.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 21
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