A Modified Newton-type Method with Order of Convergence Seven for Solving Nonlinear Equations

Liang Fang; Lin Pang

doi:10.24297/jam.v8i1.2547

A Modified Newton-type Method with Order of Convergence Seven for Solving Nonlinear Equations

Authors

Liang Fang Taishan University, 271021, Tai'an
Lin Pang The circulation department of Library, Taishan University, 271021, Tai'an

DOI:

https://doi.org/10.24297/jam.v8i1.2547

Keywords:

Nonlinear equation, iterative method, order of convergence, Newton's method.

Abstract

In this paper, we mainly study the iterative method for nonlinear equations. We present and analyze a modified seventh-order convergent Newton-type method for solving nonlinear equations. The method is free from second derivatives. Some numerical results illustrate that the proposed method is more efficient and performs better than the classicalNewton's method.

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Author Biography

Liang Fang, Taishan University, 271021, Tai'an

College of Mathematics and Statistics

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Published

2014-04-15

How to Cite

Fang, L., & Pang, L. (2014). A Modified Newton-type Method with Order of Convergence Seven for Solving Nonlinear Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 8(1), 1418–1422. https://doi.org/10.24297/jam.v8i1.2547