# numpy.polynomial.legendre.legcompanion

polynomial.legendre.legcompanion(c)

  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.eigvalsh` is used to obtain them.

  Parameters
    c array_like

      1-D array of Legendre series coefficients ordered from low to high degree.

  Returns
    mat ndarray

      Scaled companion matrix of dimensions (deg, deg).

  Notes

  New in version 1.7.0.

previous

numpy.polynomial.legendre.legweight

next

numpy.polynomial.legendre.legfit