Modified families of multi-point iterative methods for solving nonlinear equations |
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Authors: | V Kanwar S K Tomar |
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Institution: | (1) University Institute of Engineering and Technology, Panjab University Chandigarh, Chandigarh, 160 014, India;(2) Department of Mathematics, Panjab University Chandigarh, Chandigarh, India |
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Abstract: | We further present some semi-discrete modifications to the cubically convergent iterative methods derived by Kanwar and Tomar
(Modified families of Newton, Halley and Chebyshev methods, Appl. Math. Comput. http://dx.doi.org/10.1016/j.amc.2007.02.119)
and derived a number of interesting new classes of third-order multi-point iterative methods free from second derivatives.
Furthermore, several functions have been tested and all the methods considered are found to be effective and compared to the
well-known existing third and fourth-order multi-point iterative methods.
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Keywords: | Newton’ s method Halley’ s method Chebyshev’ s method One-point iterative method Multi-point iterative method Traub– Ostrowski’ s method |
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