科研之友
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摘要
In this paper, the semilocal convergence for ameliorated super-Halley methods in Banach spaces is considered. Different from the results in [J. M. Gutidrrez and M. A. Herndndez, Comput. Math. Appl. 36 (1998) 1-8], these ameliorated methods do not need to compute a second derivative, the computation for inversion is reduced and the R-order is also heightened. Under a weaker condition, an existence-uniqueness theorem for the solution is proved.
- 出版日期2016-1
- 单位湖北工程学院
