A note on the new iteration method for solving algebraic equations

In [Ji-Huan He, A new iteration method for solving algebraic equations, Appl. Math. Comput. 135 (2003) 81–84], a new iteration method for solving algebraic equations has been proposed. In this paper, we show for one equation which given by the author and some other equations that the new iteration m...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 171; no. 2; pp. 1177 - 1183
Main Author Luo, Xing-Guo
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 15.12.2005
Elsevier
Subjects
Convergence
Exact sciences and technology
Iteration method
Mathematics
Nonlinear algebraic and transcendental equations
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Iteration method
Convergence
Numerical analysis
Applied mathematics
Algebraic equation
Iteration
Newton method
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Summary:In [Ji-Huan He, A new iteration method for solving algebraic equations, Appl. Math. Comput. 135 (2003) 81–84], a new iteration method for solving algebraic equations has been proposed. In this paper, we show for one equation which given by the author and some other equations that the new iteration method fails to obtain expected results. Hence, in contrast to previous claims, it is no more quickly convergent than Newton’s method and may in fact be failed.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.01.124