The Halley-Werner method in Banach spaces

Authors

  • Ioannis K. Argyros Cameron University, Lawton, USA
  • Mohammad A. Tabatabai University of Arkansas, USA
  • Dong Chen University of Arkansas, USA
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References

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Gragg, W.B. and Tapia, R.A., Optimal error bounds for the Newton-Kantorovich theorem, SIAM, J. Numer. Anal., 11 1 (1974), pp. 10-13,https://doi.org/10.1137/0711002

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Werner, W., Some improvements of classical iterative methods for the solutions of nonlinear equations, Lecture notes in Math., Numerical solution of nonlinear equations. Proceedings, Bremen, 878, (1980), pp. 427-440.

Yamamoto, T., A convergence theorem for Newton-like methods in Banach spaces, Numer. Math., 51 (1987), pp. 545-557, https://doi.org/10.1007/bf01400355

Zabrejko, P.P. and Nguen, D.F., The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates. Numer. Funct. Anal. and Optimiz., 9(1987), pp. 671-684, https://doi.org/10.1080/01630568708816254

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Published

1994-08-01

How to Cite

Argyros, I. K., Tabatabai, M. A., & Chen, D. (1994). The Halley-Werner method in Banach spaces. Rev. Anal. Numér. Théor. Approx., 23(1), 1–14. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1994-vol23-no1-art1

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Vol. 23 No. 1 (1994)

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Articles

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