Open AccessConvergence and Error Estimate of the Steffensen Method
Author(s) -
Xufeng Shang,
Xingping Shao,
Peng Wu
Publication year - 2009
Publication title -
srx mathematics
Language(s) - English
Resource type - Journals
ISSN - 2090-1127
DOI - 10.3814/2010/674539
Subject(s) - convergence (economics) , algorithm , function (biology) , derivative (finance) , mathematics , computer science , calculus (dental) , medicine , dentistry , evolutionary biology , financial economics , economics , biology , economic growth
In this paper, we present the Steensen method in Rn space. The convergence theorem is established by using the technique of majorizing function. Meanwhile, an error estimate is given. It avoids the caculus of devivative, but has the same con- vergence order 2 with Newton's method. Finally, illustrative examples are included to demonstrate the validity and applicability of the technique.
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