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Original Articles

A family of Newton-type methods for solving nonlinear equations

Pages 411-419 | Received 11 Sep 2006, Accepted 28 Dec 2006, Published online: 17 May 2007

References

  • Homeier , H. H.H. 2005 . On Newton-type methods with cubic convergence . Journal of Computing and Applied Mathematics , 176 : 425 – 432 .
  • Weerakoon , S. and Fernando , T. G.I. 2000 . A variant of Newton's method with accelerated third-order convergence . Applied Mathematics Letters , 13 : 87 – 93 .
  • Özban , A. Y. 2004 . Some new variants of Newton's method . Applied Mathematics Letters , 17 : 677 – 682 .
  • Nedzhibov , G. H. , Hasanov , V. I. and Petkov , M. G. 2006 . On some families of multi-point iterative methods for solving nonlinear of equations . Numerical Algorithms , 42 : 127 – 136 .
  • Traub , J. F. 1964 . Iterative Methods for the Solution of Equations , Englewood Cliffs, NJ : Prentice Hall .
  • Nedzhibov , G. H. 2005 . An acceleration of iterative processes for solving nonlinear equations . Applied Mathematics & Computing , 168 : 320 – 332 .
  • Cheney , W. and Kincaid , D. 1980 . Numerical Mathematics and Computing , Pacific Grove, CA : Brooks/Cole Publishing Company .

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