Node:Multimin Stopping Criteria, Next:, Previous:Multimin Iteration, Up:Multidimensional Minimization



Stopping Criteria

A minimization procedure should stop when one of the following conditions is true:

The handling of these conditions is under user control. The functions below allow the user to test the precision of the current result.

int gsl_multimin_test_gradient (const gsl_vector * g, double epsabs) Function
This function tests the norm of the gradient g against the absolute tolerance epsabs. The gradient of a multidimensional function goes to zero at a minimum. The test returns GSL_SUCCESS if the following condition is achieved,

and returns GSL_CONTINUE otherwise. A suitable choice of epsabs can be made from the desired accuracy in the function for small variations in x. The relationship between these quantities is given by \delta f = g \delta x.

int gsl_multimin_test_size (const double size, double epsabs) Function
This function tests the minimizer specific characteristic size (if applicable to the used minimizer) against absolute tolerance epsabs. The test returns GSL_SUCCESS if the size is smaller than tolerance, otherwise GSL_CONTINUE is returned.