A note on the convergence rate of Kumar–Singh–Srivastava methods for solving nonlinear equations
In the present article, it is shown that both the methods presented in Kumar et al. (2013) do not possess the order of convergence as claimed. One of the two methods, derivative involved method possesses the convergence rate of eighth order whereas the other derivative free method possesses sixth or...
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2017-04-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X16300694 |
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doaj-46cd1dedbbb44af1919232810fb2c82f2020-11-25T01:56:35ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2017-04-0125213914010.1016/j.joems.2016.10.003A note on the convergence rate of Kumar–Singh–Srivastava methods for solving nonlinear equationsJ.P. Jaiswal0Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal, M.P.-462051, IndiaIn the present article, it is shown that both the methods presented in Kumar et al. (2013) do not possess the order of convergence as claimed. One of the two methods, derivative involved method possesses the convergence rate of eighth order whereas the other derivative free method possesses sixth order convergence. The theoretical convergence rate is also validated by computational order of convergence.http://www.sciencedirect.com/science/article/pii/S1110256X16300694Nonlinear equationIterative methodConvergence rateComputational order of convergence |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
J.P. Jaiswal |
| spellingShingle |
J.P. Jaiswal A note on the convergence rate of Kumar–Singh–Srivastava methods for solving nonlinear equations Journal of the Egyptian Mathematical Society Nonlinear equation Iterative method Convergence rate Computational order of convergence |
| author_facet |
J.P. Jaiswal |
| author_sort |
J.P. Jaiswal |
| title |
A note on the convergence rate of Kumar–Singh–Srivastava methods for solving nonlinear equations |
| title_short |
A note on the convergence rate of Kumar–Singh–Srivastava methods for solving nonlinear equations |
| title_full |
A note on the convergence rate of Kumar–Singh–Srivastava methods for solving nonlinear equations |
| title_fullStr |
A note on the convergence rate of Kumar–Singh–Srivastava methods for solving nonlinear equations |
| title_full_unstemmed |
A note on the convergence rate of Kumar–Singh–Srivastava methods for solving nonlinear equations |
| title_sort |
note on the convergence rate of kumar–singh–srivastava methods for solving nonlinear equations |
| publisher |
SpringerOpen |
| series |
Journal of the Egyptian Mathematical Society |
| issn |
1110-256X |
| publishDate |
2017-04-01 |
| description |
In the present article, it is shown that both the methods presented in Kumar et al. (2013) do not possess the order of convergence as claimed. One of the two methods, derivative involved method possesses the convergence rate of eighth order whereas the other derivative free method possesses sixth order convergence. The theoretical convergence rate is also validated by computational order of convergence. |
| topic |
Nonlinear equation Iterative method Convergence rate Computational order of convergence |
| url |
http://www.sciencedirect.com/science/article/pii/S1110256X16300694 |
| work_keys_str_mv |
AT jpjaiswal anoteontheconvergencerateofkumarsinghsrivastavamethodsforsolvingnonlinearequations AT jpjaiswal noteontheconvergencerateofkumarsinghsrivastavamethodsforsolvingnonlinearequations |
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