This is documentation for an old release of NumPy (version 1.8.0). Read this page in the documentation of the latest stable release (version > 1.17).
numpy.polynomial.hermite.hermcompanion¶
- numpy.polynomial.hermite.hermcompanion(c)[source]¶
Return the scaled companion matrix of c.
The basis polynomials are scaled so that the companion matrix is symmetric when c is an Hermite 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 Hermite series coefficients ordered from low to high degree.
Returns : mat : ndarray
Scaled companion matrix of dimensions (deg, deg).
Notes