lines 2-29 of file: semi.xrst

{xrst_begin semi}
{xrst_spell
   lipschitz
   nondifferentiable
}

Global convergence of a semi-infinite optimization method
#########################################################

Abstract
********
A new
algorithm for minimizing locally Lipschitz functions
using approximate function values is presented.
It yields a method for
minimizing semi-infinite exact penalty functions
that parallels the trust region methods used in composite nondifferentiable
optimization.
A finite method for approximating
a semi-infinite exact penalty function is developed.
A uniform implicit function theorem is established
during this development.
An implementation and test results for
the approximate penalty function are included.

:ref:`citation<publications@Semi-infinite Optimization>`

{xrst_end semi}