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Semilocal Convergence of Fourth Order Iterative Method in Banach Spaces by Using Recurrence Relations |
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PP: 11-16 |
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doi:10.18576/amisl/070102
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Author(s) |
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Deepak Kumar,
Janak Raj Sharma,
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Abstract |
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| We present the semilocal convergence of fourth order iterative method for solving nonlinear equation by using the recurrence
relation. In this paper we derived the recurrence relation for the method, and then we prove the an existence-uniqueness theorem, along
with the priori error bounds which shows the R-order of convergence. Furthermore, with help of numerical example, we are presented
the applicability and efficiency of the convergence results. |
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