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Seventh-order Convergent Iterative Methods for Solving Nonlinear Equations

  • Liang Fang
  • Lifang Guo
  • Yunhong Hu
  • Lin Pang
In this paper, we present two modified Seventh-order convergent Newton-type methods to solve nonlinear equations. Both methods are free from second derivatives. At each iteration, they require three evaluations of the functions and two evaluations of derivatives. Thus the efficiency index of the presented methods is 1.4758 which is better than that of classical Newton’s method 1.4142. Some numerical results illustrate their effectivity and performance.
Select Volume / Issue:
Year:
2016
Type of Publication:
Article
Keywords:
Nonlinear Equations; Iterative Method; Order of Convergence; Newton Method
Journal:
IJASM
Volume:
3
Number:
6
Pages:
195-197
Month:
November
ISSN:
2394-2894
Hits: 1493
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