numpy.polynomial.chebyshev.chebcompanion — NumPy v1.15 Manual (original) (raw)
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 ifnumpy.linalg.eigvalsh is used to obtain them.
| Parameters: | c : array_like 1-D array of Chebyshev series coefficients ordered from low to high degree. |
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| Returns: | mat : ndarray Scaled companion matrix of dimensions (deg, deg). |
Notes
New in version 1.7.0.