Abstract: In this paper we propose to discuss unconstrained multivariable search methods that are used for optimization of nonlinear programming problems. Earlier Dr.William P.Fox and Dr.William H.Richardson [1] have attempted to solve such problems by using MAPPLE. But we have preferred to solve these problems by OR methods as our present area of research is OR. Although several OR methods are known but we have confined our discussions to Gradient search method, Newton’s method and Quasi- Newton methods. We propose to conclude the discussion by taking a suitable example.