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 Newtons
method and may in fact be failed.
2005 Elsevier Inc. All rights reserved.