Numpy 1.12
Numpy 1.12
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numpy.polynomial.legendre.legcompanion()

numpy.polynomial.legendre.legcompanion

numpy.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.eigvalsh is used to obtain them.

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