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On the Bezoutian matrix for Chebyshev polynomials

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
219
Issue
3
Identifiers
DOI: 10.1016/j.amc.2012.07.028
Keywords
  • Chebyshev Polynomials
  • Bezoutian Matrix
  • Barnett-Type Factorization
  • Triangular-Type Formula

Abstract

Abstract In the present paper a Bezoutian-type matrix relative to Chebyshev polynomials of the second kind is introduced by the form of generating function. A Barnett-type factorization formula and a triangular-type formula are obtained for this generalized Bezout matrix, which generalize the corresponding results for classical Bezout matrix. Two numerical examples are given to illustrate the correctness of our results.

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