bundles / numpy 2.4.3 / numpy / roots

_ArrayFunctionDispatcher

`numpy:roots`

source: /numpy/lib/_polynomial_impl.py :170

Signature

def roots ( p )

Summary

Return the roots of a polynomial with coefficients given in p.

Extended Summary

The values in the rank-1 array p are coefficients of a polynomial. If the length of p is n+1 then the polynomial is described by

p[0] * x**n + p[1] * x**(n-1) + ... + p[n-1]*x + p[n]

Parameters

p : array_like: Rank-1 array of polynomial coefficients.

Returns

out : ndarray: An array containing the roots of the polynomial.

Raises

: ValueError: When p cannot be converted to a rank-1 array.

Notes

The algorithm relies on computing the eigenvalues of the companion matrix ^[1].

Examples

import numpy as np
coeff = [3.2, 2, 1]
np.roots(coeff)

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See also

poly: Find the coefficients of a polynomial with a given sequence of roots.
poly1d: A one-dimensional polynomial class.
polyfit: Least squares polynomial fit.
polyval: Compute polynomial values.

Aliases

numpy.roots