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A family of modified King's methods with seventh order convergence

Author Affiliations

  • 1Department of Applied Sciences, D.A.V. Institute of Engineering and Technology, Kabirnagar, Jalandhar, INDIA

Res. J. Mathematical & Statistical Sci., Volume 1, Issue (11), Pages 1-6, December,12 (2013)

Abstract

Based on King's fourth order methods, we derive a family of seventh order methods for the solution of non linear equations. In terms of computational cost the family requires three evaluations of the function and one evaluation of first derivative. The proposed family increases the order of King's fourth order methods and efficiency index from 1.587 to 1.682. The methods are compared with closest competitors in a series of numerical examples and theoretical order of convergence is verified.

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