numpy.polynomial.chebyshev.chebfromroots

polynomial.chebyshev.chebfromroots(roots) [source]

Генерирует ряд 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 есть кратность n, то он должен появляться 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 полиномов в форме Чебышева.

Параметры

rootsarray_like

Последовательность, содержащая корни.

Возвращает

outndarray

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

numpy.polynomial.polynomial.polyfromroots

numpy.polynomial.legendre.legfromroots

numpy.polynomial.laguerre.lagfromroots

numpy.polynomial.hermite.hermfromroots

numpy.polynomial.hermite_e.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])