`numpy.polynomial.chebyshev:chebcompanion`

source: /numpy/polynomial/chebyshev.py :1627

Signature

def chebcompanion ( c )

Summary

Return the scaled companion matrix of c.

Extended Summary

The basis polynomials are scaled so that the companion matrix is symmetric when c is a Chebyshev basis polynomial. This provides better eigenvalue estimates than the unscaled case and for basis polynomials the eigenvalues are guaranteed to be real if numpy.linalg.eigvalsh is used to obtain them.

Parameters

c : array_like: 1-D array of Chebyshev series coefficients ordered from low to high degree.

Returns

mat : ndarray: Scaled companion matrix of dimensions (deg, deg).

Aliases

numpy.polynomial.chebyshev.chebcompanion