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The Quadratic Convergence of the Steffensen-Newton-Like Iteration Method

ZHENG Quan¹, LIU Ting-zhan²

1. College of Science, North China University of Technology, Beijing 100041, China; 2. College of Mathematics, Jilin University, Changchun 130012, C hina

Received:2002-09-09 Revised:1900-01-01 Online:2003-04-26 Published:2003-04-26
Contact: LIU Ting-zhan

Abstract

Abstract: A quadratic convergent iteration method with adjusted parameters without derivative for solving nonlinear equations is discussed in this paper. We have deduced the iterative formula by the theory of the dynamic system, proved that the quadratic convergence holds under the weak conditions, and done the numerical experiments.

Key words: nonlinear equation, dynamic system, Liapnov’s method, iteration method, quadratic convergence

CLC Number:

O241.7

ZHENG Quan, LIU Ting-zhan. The Quadratic Convergence of the Steffensen-Newton-Like Iteration Method[J].J4, 2003, 41(02): 134-139.

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The Quadratic Convergence of the Steffensen-Newton-Like Iteration Method

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