Numeric.GSL.Polynomials

Polynomials.

http://www.gnu.org/software/gsl/manual/html_node/General-Polynomial-Equations.html#General-Polynomial-Equations

Documentation

polySolve :: [Double] -> [Complex Double]

Solution of general polynomial equations, using gsl_poly_complex_solve.

For example, the three solutions of x^3 + 8 = 0

>>> polySolve [8,0,0,1]
[(-2.0) :+ 0.0,1.0 :+ 1.7320508075688776,1.0 :+ (-1.7320508075688776)]

The example in the GSL manual: To find the roots of x^5 -1 = 0:

>>> polySolve [-1, 0, 0, 0, 0, 1]
[(-0.8090169943749472) :+ 0.5877852522924731,
(-0.8090169943749472) :+ (-0.5877852522924731),
0.30901699437494756 :+ 0.9510565162951535,
0.30901699437494756 :+ (-0.9510565162951535),
1.0000000000000002 :+ 0.0]