Determination of the Zeros of a Linear Combination of Chebyshev Polynomials

DOI10.1093/imanum/3.2.193zbMath0514.65030OpenAlexW2051500671MaRDI QIDQ3660791

A. Ghiatis, James A. Grant

Publication date: 1983

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/3.2.193

zbMATH Keywords

algorithmsChebyshev polynomialspolynomial zero

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items (3)

Determination of the zeros of a linear combination of generalised polynomials ⋮ Integer powers of anti-tridiagonal matrices of the form \(\mathrm{antitridiag}_n(a,0,b)\), \(a,b\in\mathbb R\) ⋮ Integer powers of anti-bidiagonal Hankel matrices

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