Abstract:
We discuss a combination of Newton’s method and Secant’s method to solve a
nonlinear equation of one variable. The same work has been done by Kasturiarachi A.B. Int.
J. Math. Educ. Sci. Technol.33(4), 521-527 (2002). Here we prove the order of convergence
of the method for correcting some mistakes in Kasturiarachi’s article while deriving error
analysis of the method. Comparison among the discussed methods is also given by
considering number of iteration and function evaluation.