A new modified secant-like method for solving nonlinear equations

Authors:
Xiuhua Wang;Jisheng Kou;Chuanqing Gu
Affiliations:
Department of Mathematics, Shanghai University, Shanghai 200444, China and Department of Mathematics, Xiaogan University, Xiaogan 432100, Hubei, China;Department of Mathematics, Shanghai University, Shanghai 200444, China;Department of Mathematics, Shanghai University, Shanghai 200444, China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, we present a new secant-like method for solving nonlinear equations. Analysis of the convergence shows that the asymptotic convergence order of this method is 1+3. Some numerical results are given to demonstrate its efficiency.