This is documentation for an old release of NumPy (version 1.13.0). Read this page in the documentation of the latest stable release (version > 1.17).
numpy.polynomial.chebyshev.chebcompanion¶
-
numpy.polynomial.chebyshev.
chebcompanion
(c)[source]¶ Return the scaled companion matrix of c.
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).
Notes