1
Department of Mathematics, Yazd University, Yazd-IRAN.
2
Yazd Univ
Abstract
In this paper, we present two new families of third-order and fourth-order methods for finding multiple roots of nonlinear equations. Each of them requires one evaluation of the function and two of its first derivative per iteration. Several numerical examples are given to illustrate the performance of the presented methods.
Heydari, M., & Loghmani, G. (2014). THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS. Caspian Journal of Mathematical Sciences, 3(1), 67-85.
MLA
M. Heydari; G.B. Loghmani. "THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS". Caspian Journal of Mathematical Sciences, 3, 1, 2014, 67-85.
HARVARD
Heydari, M., Loghmani, G. (2014). 'THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS', Caspian Journal of Mathematical Sciences, 3(1), pp. 67-85.
VANCOUVER
Heydari, M., Loghmani, G. THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS. Caspian Journal of Mathematical Sciences, 2014; 3(1): 67-85.