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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2017, Volume 20, Number 2, Pages 157–168
DOI: https://doi.org/10.15372/SJNM20170204 (Mi sjvm643) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Analysis of semilocal convergence in Banach spaces under relaxed condition and computational efficiency

J. P. Jaiswalabc

a Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal, M.P., 462051, India
b Faculty of Science, Barkatullah University, Bhopal, M.P., 462026, India
c Regional Institute of Education, Bhopal, M.P., 462013, India
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DOI: https://doi.org/10.15372/SJNM20170204
Abstract: The present paper is concerned with the study of semilocal convergence of a fifth-order method for solving nonlinear equations in Banach spaces under mild conditions. An existence and uniqueness theorem is proved and followed by error estimates. The computational superiority of the considered scheme over the identical order methods is also examined, which shows the efficiency of the present scheme from a computational point of view. Lastly, an application of the theoretical development is made in a nonlinear integral equation.
Key words: nonlinear equation, Banach space, weak condition, semilocal convergence, error bound.
Received: 03.10.2016
English version:
Numerical Analysis and Applications, 2017, Volume 10, Issue 2, Pages 129–139
DOI: https://doi.org/10.1134/S1995423917020045
Bibliographic databases:
Document Type: Article
MSC: 65H10, 65J15
Language: Russian
Citation: J. P. Jaiswal, “Analysis of semilocal convergence in Banach spaces under relaxed condition and computational efficiency”, Sib. Zh. Vychisl. Mat., 20:2 (2017), 157–168; Num. Anal. Appl., 10:2 (2017), 129–139
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
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