Ball convergence theorem for a Steffensen-type third-order method
نویسندگان
چکیده
منابع مشابه
Ball Convergence for Steffensen-type Fourth-order Methods
We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier studies such as [1], [5]-[28] using hypotheses up to the fifth derivative. This way the applicability of these methods is extended under weaker hypotheses. Moreover the radius ...
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The author would like to express his deep gratitude to F. Soleymani for his comments which resulted in considerable improvement in the quality of this paper. Thus, he is much grateful for A.E.Alamir for his helpful hints and a great deal of patience in reviewing this paper. The author is also thankful to the reviewer for his constructive remarks and suggestions which have enhanced the present p...
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ژورنال
عنوان ژورنال: Revista Colombiana de Matemáticas
سال: 2017
ISSN: 2357-4100,0034-7426
DOI: 10.15446/recolma.v51n1.66831