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# numpy.polynomial.legendre.legcompanion

`numpy.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