Improving the rate of convergence of some Newton-like methods for the solution of nonlinear equations containing a nondifferentiable term

Authors

  • Ioannis K. Argyros Cameron University, Lawton, USA
  • Emil Cătinaș Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
  • Ion Păvăloiu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
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References

K. Argyros, On the solution of equations with nondffirentiable operators and the Ptak error estimates, BIT, 30 (1990), pp. 752-754, https://doi.org/10.1007/bf01933222

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I. K. Argyros, On some iterative methods for solving nonlinear equations with a nondffirentiable term of order between 1.618.., and 1.839.. (submitted to this joumal).

I. K. Argyros, and F. Szidarovszky, The Theory and Application of lteration Method, CR.C. Press, Inc., Boca Raton, Florida, 1993.

E. Cătinaş, On some ilerative methods for solving nonlinear equations, Rev. Anal. Numér, Theorie Approximation 23, I (1994), pp. 47 -53.

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I. Păvăloiu, A convergence theorem concerning the chord methods, Rev. Anal. Numér. Theorie Approximation 22, 1 (1993), pp. 83-85, https://doi.org/10.1002/fld.1650160106

F. A, Potra, On an iterative algorithm of order 1.839 . . .. for solving nonlinear equations, Numer. Funct. Anal. Optimiz. 7, I (1984-1985), pp. 75-106, https://doi.org/10.1080/01630568508816182

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Published

1998-08-01

How to Cite

Argyros, I. K., Cătinaș, E., & Păvăloiu, I. (1998). Improving the rate of convergence of some Newton-like methods for the solution of nonlinear equations containing a nondifferentiable term. Rev. Anal. Numér. Théor. Approx., 27(2), 191–202. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1998-vol27-no2-art1

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Vol. 27 No. 2 (1998)

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