Abstract
For many applied and research problems it is necessary to find solution in the form of mathematical equation. These problems are the selection of function at approximation of experimental data, identification of control object model, control synthesis in the form of state space coordinates function, the inverse problem of kinetics and mathematical physics, etc. The main method to receive mathematical equations for solution of these problems consists in analytical transformations of initial statement formulas of the problem. A few problems have the exact analytical solution, therefore mathematicians use various assumptions, decomposition, and special characteristics of solutions. Usually mathematicians set the form of mathematical equation, and the optimal parameters are found using numerical methods and PC. Such methods as the least-square method have been applied to the problems of approximation for many years (Kahaner D. et al., 1989).
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