NDLI: Two new three-step predictor-corrector methods with fifth-order convergence for solving nonlinear equations

Content Provider	IEEE Xplore Digital Library
Author	Yunhong Hu Liang Fang Guoping He
Copyright Year	2010
Description	Author affiliation: College of Mathematics and Systems Science, Taishan University, 271021, Tai'an, China (Liang Fang) \|\| College of Information Science and Engineering, Shandong University of Science and Technology, 266510, Qingdao, China (Yunhong Hu; Guoping He)
Abstract	In this paper, we present two new three-step predictor-corrector methods for solving nonlinear equations. This two algorithms are free from second derivative and per iteration they only require three evaluations of the given function and one evaluation of its first derivative. Convergence analysis shows that they are fifth-order convergent. Numerical tests demonstrate that both of the two new methods are more efficient and more practical than most of known variants of two-step methods.
Starting Page	16
Ending Page	19
File Size	237029
Page Count	4
File Format	PDF
ISBN	9781424477050
e-ISBN	9781424477067
DOI	10.1109/CINC.2010.5643799
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-09-13
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	nonlinear equations Nonlinear equations two-step method three-step method Prediction algorithms Newton's method predictor-corrector type iterative method Iterative methods Newton method Convergence
Content Type	Text
Resource Type	Article

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Two new three-step predictor-corrector methods with fifth-order convergence for solving nonlinear equations