numpy.polynomial.chebyshev.chebfromroots

numpy.polynomial.chebyshev.chebfromroots(roots) [source]

Генерация многочлена Чебышева с заданными корнями.

Функция возвращает коэффициенты многочлена

<img alt="p(x) = (x - r_0) * (x - r_1) * ... * (x - r_n)," src="data:image/svg+xml;base64,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

в форме Чебышева, где r_n — корни, указанные в roots. Если у нуля кратность n, то он должен появиться в roots n раз. Например, если 2 — корень кратности три, а 3 — корень кратности 2, то roots будет выглядеть примерно так [2, 2, 2, 3, 3]. Корни могут быть в любом порядке.

Если возвращаемые коэффициенты — c, то

<img alt="p(x) = c_0 + c_1 * T_1(x) + ... + c_n * T_n(x)" src="data:image/svg+xml;base64,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

Коэффициент последнего члена обычно не равен 1 для мономических многочленов в форме Чебышева.

Параметры:	roots : array_like Последовательность, содержащая корни.
Возвращает:	out : ndarray Одномерный массив коэффициентов. Если все корни вещественные, то out — вещественный массив, если некоторые корни комплексные, то out — комплексный, даже если все коэффициенты в результате вещественные (см. примеры ниже).

См. также

polyfromroots, legfromroots, lagfromroots, hermfromroots, hermefromroots

Примеры

>>> import numpy.polynomial.chebyshev as C
>>> C.chebfromroots((-1,0,1)) # x^3 - x relative to the standard basis
array([ 0.  , -0.25,  0.  ,  0.25])
>>> j = complex(0,1)
>>> C.chebfromroots((-j,j)) # x^2 + 1 relative to the standard basis
array([1.5+0.j, 0. +0.j, 0.5+0.j])