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|Title:||On the "terra incognita" for the newton-kantrovich method with applications|
|Citation:||Journal of the Korean Mathematical Society, 2014, Vol.51, 2, pp.251-266|
|Abstract:||In this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before -, in some interesting cases, provided that the Fr chet-derivative of the operator involved is p-H lder continuous (p ?(0, 1]). Numerical examples involving two boundary value problems are also provided. 2014 Korean Mathematical Society.|
|Appears in Collections:||1. Journal Articles|
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