Decomposition of perturbed Chebyshev polynomials
نویسندگان
چکیده
منابع مشابه
Decomposition of perturbed Chebyshev polynomials
We characterize polynomial decomposition fn = r ◦ q with r, q ∈ C[x] of perturbed Chebyshev polynomials defined by the recurrence f0(x) = b, f1(x) = x− c, fn+1(x) = (x− d)fn(x)− afn−1(x), n ≥ 1, where a, b, c, d ∈ R and a > 0. These polynomials generalize the Chebyshev polynomials, which are obtained by setting a = 1/4, c = d = 0 and b ∈ {1, 2}. At the core of the method, two algorithms for pol...
متن کاملAddendum to: Decomposition of perturbed Chebyshev polynomials
We here give the complete data for the remaining cases deg q = 5, 6, 7, which supplement the paper ([1] Th. Stoll, Decomposition of perturbed Chebyshev polynomials, submitted). This is not supposed to be included in the paper.
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2008
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.03.002