Some methods of solution of trancendental and algebraic equations (Paperback)

In the monograph a nonlinear method of iteration is suggested a hybrid of the classical method of iteration and the method of proportional division. Algebraic evidence and the geometrical interpretation of convergence of the offered nonlinear-generalized process of iteration are given. The formulas for nonlinear operators of scalar and vector contraction mapping as functions of one and several real variables are obtained.