nonlinear system of algebraic equations, Korean-nevaya region, the simple roots.

A method for finding small areas for simple rootsnon-linear system of algebraic equations, which does not use gradients. Introduce new concepts: starting points, points of reversal and root points of the root areas of special operators, simplifying the preparation of the programing the application of computers. After the implementation of the given-tion method of finding the root of small areas and their number in the distance, follows, using any standard method roots are would-tup and with high accuracy

Chernyshov Александр Данилович e-mail: chernyshovad@mail.ru, Professor, Department of Mathematics, Voronezh State University of Engineering Technology, Doctor of Physical and Mathematical Sciences