Semilocal convergence conditions for the secant method, using recurrent functions
Semilocal convergence conditions for the secant method, using recurrent functions
Using our new concept of recurrent functions, we present new
 sufficient convergence conditions for the secant method
 to a locally unique solution of a nonlinear equation
 in a Banach space. We combine Lipschitz and center-Lipschitz
 conditions on the divided difference operator to obtain the
 semilocal convergence analysis of the secant …