numpy.polynomial.legendre.legcompanion#
- polynomial.legendre.legcompanion(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 Legendre 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.eigvalshis used to obtain them.- Parameters:
- carray_like
1-D array of Legendre series coefficients ordered from low to high degree.
- Returns:
- matndarray
Scaled companion matrix of dimensions (deg, deg).