An Efficient Method for Optimizing Non-linear Functions without Calculating Derivatives

Abstract

Finding a solution to a set of 780 non-linear equations in 78 unknowns requires an efficient method for optimizing. This research is concerned with the development of the corrective non-linear simplex search technique for highly non-linear functions. The second part of this research is con¬cerned with the application of the corrective non-linear simplex search technique to solve the crystal structure problem of Spiro-(5.5)-undeca-l,4,7,10-tetraene-3,9-dione. The operation of this method is described in detail and the result of the successful solution of test case is presented.