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Volumn 41, Issue 7, 1998, Pages

Convergence of the iteration of Halley's family and Smale operator class in Banach space

Author keywords

Convergence; Dynamics on riemann sphere; Iteration of halley's family; Smale operator class

Indexed keywords


EID: 17644447487     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (10)
  • 1
    • 0347672662 scopus 로고    scopus 로고
    • Convergence of Newton's method and uniqueness of the solution of equations in Banach space
    • Wang Xinghua, Convergence of Newton's method and uniqueness of the solution of equations in Banach space, to appear in IMA Journal of Numerical Analysis.
    • IMA Journal of Numerical Analysis
    • Xinghua, W.1
  • 2
    • 0347672661 scopus 로고
    • Convergence of Newton's method and inverse function in Banach space
    • Wang Xinghua, Convergence of Newton's method and inverse function in Banach space, Mathematics of Computation, 1988, 67: 223.
    • (1988) Mathematics of Computation , vol.67 , pp. 223
    • Xinghua, W.1
  • 3
    • 0000794806 scopus 로고
    • Exponential polynomials
    • Bell, E. T., Exponential polynomials, Annals Math., 1934, 35: 258.
    • (1934) Annals Math. , vol.35 , pp. 258
    • Bell, E.T.1
  • 5
    • 84967770163 scopus 로고
    • On the efficiency of algorithms of analysis
    • Smale, S., On the efficiency of algorithms of analysis, Bull. Amer. Math. Soc. (New Ser.), 1985, 13: 87.
    • (1985) Bull. Amer. Math. Soc. (New Ser.) , vol.13 , pp. 87
    • Smale, S.1
  • 6
    • 0003093795 scopus 로고
    • Extraneous fixed points, basin boundarries and chaotic dynamics for Schröder ang König rational iteration functions
    • Vrscay, E. R., Gilbert, W. J., Extraneous fixed points, basin boundarries and chaotic dynamics for Schröder ang König rational iteration functions, Numer. Math., 1988, 52: 1.
    • (1988) Numer. Math. , vol.52 , pp. 1
    • Vrscay, E.R.1    Gilbert, W.J.2
  • 7
    • 0001750492 scopus 로고
    • The convergence of Euler's series, Euler's and Halley's iterative families under the point estimates
    • Wang Xinghua, Zheng Shiming, Han Danfu, The convergence of Euler's series, Euler's and Halley's iterative families under the point estimates, Acta Mathematics Sinica, 1990, 33: 721.
    • (1990) Acta Mathematics Sinica , vol.33 , pp. 721
    • Xinghua, W.1    Shiming, Z.2    Danfu, H.3
  • 8
    • 0000625286 scopus 로고
    • On the dominating sequence method in the point estimates and Smale's theorem
    • 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.
    • (1990) Science in China, Ser. A , vol.33 , Issue.2 , pp. 135
    • Xinghua, W.1    Danfu, H.2
  • 9
    • 0004930496 scopus 로고
    • Some results relevant to Smale's reports
    • eds. Hirsch, M. W., Marsden, J. E., Shub, M., New York: Spriner-Varlag
    • Wang Xinghua, Some results relevant to Smale's reports, in From Topology to Computation: Proceedings of the Smalefest (eds. Hirsch, M. W., Marsden, J. E., Shub, M.), New York: Spriner-Varlag, 1993, 456-465.
    • (1993) From Topology to Computation: Proceedings of the Smalefest , pp. 456-465
    • Xinghua, W.1
  • 10
    • 0039964314 scopus 로고
    • A summary on complexity theory
    • Wang Xinghua, A summary on complexity theory, Contemporary Mathematics, 1994, 163: 155.
    • (1994) Contemporary Mathematics , vol.163 , pp. 155
    • Xinghua, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.