F. W. Pfeiffer [1] has recently indicated that automatic partial differentiation of functions can be easily accomplished using the PROSE language. Other authors have implemented these techniques in other special purpose languages which allow user defined operators[2]. It is relatively easy to implement these capabilities in any language which has a minimum of data structure representation. Additionally, it is not difficult to extend the method to deliver numerical values for any order derivative desired.

Abstract.Interval arithmetic provides an efficient method of global optimization. With less efficiency all stationary points of a function can be found. A minimization method is described and applied to an econometric function. The results are compared with the method of simulated annealing on the same function.

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