numpy.polynomial.hermite.hermcompanion#
- 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:
- carray_like
1-D array of Hermite series coefficients ordered from low to high degree.
- Returns:
- matndarray
Scaled companion matrix of dimensions (deg, deg).
Notes
New in version 1.7.0.
Examples
>>> from numpy.polynomial.hermite import hermcompanion >>> hermcompanion([1, 0, 1]) array([[0. , 0.35355339], [0.70710678, 0. ]])