A family of simultaneous methods for finding zeros of analytic functions


Slobodan Tričković, Snežana Ilić




In this paper a new one parameter family of simultaneous methods for finding zeros of a class of analytic function is derived. This family is obtained by applying Hansen-Patrick's third order method for solving the single equation $f(z)=0$ to a suitable function. It is shown that all the methods of this family have fourth order of convergence.