numpy.polynomial.laguerre.lagcompanion

polynomial.laguerre.lagcompanion(c)[source]

Return the companion matrix of c.

The usual companion matrix of the Laguerre polynomials is already symmetric when c is a basis Laguerre polynomial, so no scaling is applied.

Parameters:

carray_like

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

Returns:

matndarray

Companion matrix of dimensions (deg, deg).

Examples

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>>> from numpy.polynomial.laguerre import lagcompanion
>>> lagcompanion([1, 2, 3])
array([[ 1.        , -0.33333333],
       [-1.        ,  4.33333333]])

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