Thursday 28 July 2011

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 54-137
Full Name: Zhao Lingling
Position: Professor
Age: ON
Sex: Female
Address: Dongfeng Road, Zhengzhou, Henan Province, PRC. Zip Code: 450002
Country: CHINA
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E-mail address: llzhao@zzuli.edu.cn
Other E-mails: whguostar@yahoo.com.cn
Title of the Paper: new families of eighth-order methods with high effciency index for solving nonlinear equations
Authors as they appear in the Paper:
Email addresses of all the authors: llzhao@zzuli.edu.cn,wangxia@zzuli.edu.cn,whguostar@yahoo.com.cn
Number of paper pages: 10
Abstract: In this paper, we derive two new families of eighth-order methods for solving simple roots of nonlinear equations by using weight function methods and interpolation methods. Per iteration these methods require three evaluations of the function and one evaluation of its first derivative, which implies that the effciency indexes are 1.682. Numerical comparisons are made to show the performance of the derived methods, as shown in the illustration examples.
Keywords: Eighth-order convergence; Nonlinear equations; Weight function methods; Convergence order; Effciency index
EXTENSION of the file: .pdf
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