bundles / numpy latest / numpy / roots

_ArrayFunctionDispatcher

`numpy:roots`

source: /dev/numpy/build-install/usr/lib/python3.14/site-packages/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)

✓

array([-0.3125+0.46351241j, -0.3125-0.46351241j])

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