In this paper we discuss the convergence of a modified Newton’s method presented by A. Ostrowski [1] and J.F. Traub [2], which has quadratic convergence order but reduces one evaluation of the derivative at every two steps compared with Newton’s method. A convergence theorem isestablished by using a weak condition a≤3-2(21/2) and a sharp error estimate is given about the iterative sequence.
展开▼
