Paper Info
Title
Convergence radius of Osada's method under center-Hölder continuous condition
Abstract
Recently, a new treatment based on Taylor's expansion to give the estimate of the convergence radius of iterative method for multiple roots has been presented. It has been successfully applied to enlarge the estimate of the convergence radius of the modified Newton's method for multiple roots. Using the similarly treatment, this paper investigates the convergence radius of the Osada's method under the condition that the derivative f^(^m^+^1^) of function f satisfies the center-Holder continuous condition. By some examples, we show the treatment is simpler and efficient once again. The uniqueness ball of solution is also discussed.
Year
DOI
Venue
2014
10.1016/j.amc.2014.06.068
Applied Mathematics and Computation
Keywords
Field
DocType
osada's method,multiple roots,taylor's expansion,center-hölder condition,convergence radius
Convergence (routing),Uniqueness,Mathematical optimization,Radius of convergence,Iterative method,Mathematical analysis,Hölder condition,Mathematics
Journal
Volume
ISSN
Citations 
243,
0096-3003
2
PageRank 
References 
Authors
0.39
13
2
Name
Order
Citations
PageRank
Xiaojian Zhou1749.19
Yongzhong Song212822.82