Eric Germaneau wrote:
> Hello everyone,
> 
> I'm wondering whether gsl provides a function which computes the nth
> root .....

You could use

r = std::exp( std::log( x ) / n )

If you want greater accuracy, try looking at the chapter on
1-dimensional root finding. If you want the complex roots,
gsl_complex_polar( r, a ), where a = 0, 2 * Pi / n, ... 2 * (n - 1) * Pi
 / n.

-- 
JDL


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