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

Argyros, I., Quadratic equations and applications to Chandrasekhar's and related equations, Bull, Austral, Math. Soc., 32 (1985), pp. 275-292, https://doi.org/10.1017/s0004972700009953

-, On a class of nonlinear integral equations arising in neutron transport. Aequationes Mathematicae, 36 (1988), pp. 99-111, https://doi.org/10.1007/bf01837974

Chen, D., Kantrorovich-Ostrowski convergence theorems and optimal error bounds for Jarratt's iterative methods, Intern. J. Computer Math., 31 (3+4) (1990, pp. 221-235, https://doi.org/10.1080/00207169008803805

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

Kantorovich, L.V. and Akilov, G.P., Functional analysis in Normed Spaces, Pergamon Press, New York, 1969.

Ostrowski, A.M., Solution of Equations and Systems of Equations, Academic Press, New York, 1966.

Potra, F.A. and Ptak, V., Sharp error bound for Newton's method. Numer. Math., 34, (1980), pp. 63-72, https://doi.org/10.1007/bf01463998

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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