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Module « numpy.matlib »

Fonction roots - module numpy.matlib

Signature de la fonction roots

def roots(p) 

Description

help(numpy.matlib.roots)

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

.. note::
   This forms part of the old polynomial API. Since version 1.4, the
   new polynomial API defined in `numpy.polynomial` is preferred.
   A summary of the differences can be found in the
   :doc:`transition guide </reference/routines.polynomials>`.

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.

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

Notes
-----
The algorithm relies on computing the eigenvalues of the
companion matrix [1]_.

References
----------
.. [1] R. A. Horn & C. R. Johnson, *Matrix Analysis*.  Cambridge, UK:
    Cambridge University Press, 1999, pp. 146-7.

Examples
--------
>>> import numpy as np
>>> coeff = [3.2, 2, 1]
>>> np.roots(coeff)
array([-0.3125+0.46351241j, -0.3125-0.46351241j])

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