Sulla convergenza di un procedimento basato sul metodo delle secanti modificato.

In this paper a method of E. Polak for solving systems of nonlinear equations is generalized and shown to have superlinear convergence under larger assumptions. The result is obtained giving a new criterion for the convergence of the modified secant method. The convergence does not depend upon the goodness of initial approximation of the solution, and is global for a wide class of functions. Numerical results are reported on some known test problems. [ABSTRACT FROM AUTHOR]