The following function drives the iteration of each algorithm. The function performs one iteration to update the state of the minimizer. The same function works for all minimizers so that different methods can be substituted at runtime without modifications to the code.

__Function:__int**gsl_multimin_fdfminimizer_iterate***(gsl_multimin_fdfminimizer **`s`)-
These functions perform a single iteration of the minimizer
`s`. If the iteration encounters an unexpected problem then an error code will be returned.

__Function:__gsl_vector ***gsl_multiroot_fdfsolver_x***(const gsl_multiroot_fdfsolver **`s`)__Function:__double**gsl_multiroot_fdfsolver_minimum***(const gsl_multiroot_fdfsolver **`s`)__Function:__gsl_vector ***gsl_multiroot_fdfsolver_gradient***(const gsl_multiroot_fdfsolver **`s`)-
These functions return the current best estimate of the location of the
minimum, the value of the function at that point and its gradient, for
the minimizer
`s`.

__Function:__int**gsl_multimin_fdfminimizer_restart***(gsl_multimin_fdfminimizer **`s`)-
This function resets the minimizer
`s`to use the current point as a new starting point.

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