AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS

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MATINFAR M.; AMINZADEH M.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2012 | Volume:2 | Issue:1 Page(s): 45-51

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Information Journal Paper

Title

AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS

Author(s)

MATINFAR M. | AMINZADEH M. | Issue Writer Certificate

Keywords

NONLINEAR EQUATION

ITERATIVE METHOD

TWO-STEP

ITERATIVE METHOD

CONVERGENCE ORDER

EFFICIENCY INDEX

Abstract

Modification of Newtons method with higher-order convergence is presented. The modification of Newtons method is based on Frontinis three-order method. The new method requires TWO-STEP per iteration. Analysis of convergence demonstrates that the order of convergence is 6. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newtons method and other methods.

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APA: Copy

MATINFAR, M., & AMINZADEH, M.. (2012). AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 2(1), 45-51. SID. https://sid.ir/paper/328240/en

Vancouver: Copy

MATINFAR M., AMINZADEH M.. AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2012;2(1):45-51. Available from: https://sid.ir/paper/328240/en

IEEE: Copy

M. MATINFAR, and M. AMINZADEH, “AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 2, no. 1, pp. 45–51, 2012, [Online]. Available: https://sid.ir/paper/328240/en

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