Geodesic
Semilocal convergence analysis and comparison of revisited computational efficiency of the sixth-order method in Banach spaces
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2.

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The purpose of the this paper is to discuss the semilocal convergence analysis of the sixth-order method for solving nonlinear equations in Banach spaces by using recurrence relations approach. The existence and uniqueness results have been derived followed by its error bound. The revisited computational efficiency of the considered algorithm with identical as well as unlike order schemes is also analyzed. Lastly, theoretical results have been verified by discussing the numerical example.
Publié le :
DOI : 10.30755/NSJOM.04007
Classification : 65H10, 65J15, 47J25
Keywords: nonlinear equation, Banach space, recurrence relation, semilocal convergence, revisited computational efficiency 
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     author = {Jai Prakash  Jaiswal},
     title = {Semilocal convergence analysis and 
	comparison of revisited computational efficiency 
	of the sixth-order method in {Banach} spaces},
     journal = {Novi Sad Journal of Mathematics},
     pages = {1 - 16},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {2019},
     doi = {10.30755/NSJOM.04007},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.04007/}
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Jai Prakash  Jaiswal. Semilocal convergence analysis and 
	comparison of revisited computational efficiency 
	of the sixth-order method in Banach spaces. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 2. doi : 10.30755/NSJOM.04007. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.04007/

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