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# numpy.polynomial.chebyshev.chebcompanion

polynomial.chebyshev.chebcompanion(c)

  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).