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Convergence on the iteration of Halley family in weak conditions. (English) Zbl 0884.30004
The author obtains the convergence theorems of the iteration of Hally family in weak conditions by the point estimate.

30C15Zeros of polynomials, etc. (one complex variable)
[1]Wang Xinghua, Zheng Shiming, Han Danfu, Convergence on Euler series, The iterations of Euler’s and Halley’s families,Acta Mathematica Sinica, 1990, 33(6): 721.
[2]Wang Xinghua, A summary on continuous complexity theory,Contemporary Mathematics, 1994, 163: 155.
[3]Smale, S., Newton’s method estimates from data at one point, inThe Merging of Disciplines: New Directions in Pure, Applied and Computational Mathematics (eds. Ewing, R.et al.), New York: Springer-Verlag, 1986, 185–196.
[4]Kantorovich, L. V., Akilov, G. P.,Functional Analysis, Pergamon Press, 1986.
[5]Tarski, A., Mckinsey, J. C. C.,A Decision Method for Elementary Algebra and Geometry, 2nd ed., 1951.
[6]Wang Xinghua, Convergence of an iterative procedure,Kexue Tongbao, 1975, 20(12): 558.
[7]Wang Xinghua, On the zeros of analytic functions,J. of Nature, 1981, 4(6): 474.
[8]Wang Xinghua, Han Danfu, On the dominating sequence method in the point estimates and Smale’s theorem,Science in China, Ser. A, 1990, 33(2): 135.