Finite systems of equations and implicit functions

摘要

The classical Ruckert-Lefschetz scheme of analysis of implicit functions(defined by finite systems of n analytical equations with n unknowns) isstudied from the point of view of calculations with finite number coefficientsin Taylor expansions for left hand parts of corresponding equations. It isproved that this scheme is not applicable in the general case. It is offeredsome modifications allowing to lead the analysis of implicit functions to thecalculation with finite number of coefficients.