  Selection of descent direction at a point plays an important role in
numerical optimization for minimizing a real valued function. In this article,
a descent sequence is generated for the functions with bounded parameters to
obtain a critical point. First, sufficient condition for the existence of
descent direction is studied for this function and then a set of descent
directions at a point is determined using linear expansion. Using these results
a descent sequence of intervals is generated and critical point is
characterized. This theoretical development is justified with numerical
example.
