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|Title:||Ball convergence theorem for a fifth-order method in banach spaces|
|Citation:||Understanding Banach Spaces , Vol. , , p. 115 - 124|
|Abstract:||We present a local convergence analysis for a fifth-order method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the fourth Fréchet-derivative . Hence, the applicability of these methods is expanded under weaker hypotheses and less computational cost for the constants involved in the convergence analysis. Numerical examples are also provided in this study. © 2020 by Nova Science Publishers, Inc. All rights reserved.|
|Appears in Collections:||3. Book Chapters|
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