메뉴 건너뛰기




Volumn 83, Issue 1, 1997, Pages 131-135

Relaxing convergence conditions for an inverse-free Jarratt-type approximation

Author keywords

Fourth order method; Nonlinear equations in Banach spaces; Recurrence relations

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; NONLINEAR EQUATIONS; THEOREM PROVING;

EID: 0031224545     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00102-7     Document Type: Letter
Times cited : (5)

References (11)
  • 1
    • 0000690366 scopus 로고
    • Concerning the method of tangent hyperbolas for operator equations
    • M. Altman, Concerning the method of tangent hyperbolas for operator equations, Bull. Acad. Pol. Sci., Ser. Sci. Math. Ast. Phys. 9 (1961) 633-637.
    • (1961) Bull. Acad. Pol. Sci., Ser. Sci. Math. Ast. Phys. , vol.9 , pp. 633-637
    • Altman, M.1
  • 2
    • 0001632262 scopus 로고
    • Results on the Chebyshev method in Banach spaces
    • I.K. Argyros, D. Chen, Results on the Chebyshev method in Banach spaces, Proyecciones 12 (2) (1993) 119-128.
    • (1993) Proyecciones , vol.12 , Issue.2 , pp. 119-128
    • Argyros, I.K.1    Chen, D.2
  • 3
    • 0043167845 scopus 로고    scopus 로고
    • An inverse-free Jarratt type approximation in a Banach space
    • I.K. Argyros, D. Chen, Q. Qian, An inverse-free Jarratt type approximation in a Banach space, J. Approx. Theory Appl. 12 (1) (1996) 19-30.
    • (1996) J. Approx. Theory Appl. , vol.12 , Issue.1 , pp. 19-30
    • Argyros, I.K.1    Chen, D.2    Qian, Q.3
  • 4
    • 0031064164 scopus 로고    scopus 로고
    • A family of Chebyshev-Halley type methods in Banach spaces
    • J.M. Gutiérrez, M.A. Hernández, A family of Chebyshev-Halley type methods in Banach spaces, Bull. Aust. Math. Soc. 55 (1) (1997) 113-130.
    • (1997) Bull. Aust. Math. Soc. , vol.55 , Issue.1 , pp. 113-130
    • Gutiérrez, J.M.1    Hernández, M.A.2
  • 7
    • 0039881889 scopus 로고
    • Newton's method estimates from data at one point
    • Laramie, New York
    • S. Smale, Newton's method estimates from data at one point, Proc. Conf. in Honor of Gail Young, vol. 2, Laramie, New York, 1986, pp. 1-16.
    • (1986) Proc. Conf. in Honor of Gail Young , vol.2 , pp. 1-16
    • Smale, S.1
  • 9
    • 0000205950 scopus 로고
    • A method for finding sharp error bounds for Newton's method under the Kantorovich assumption
    • T. Yamamoto, A method for finding sharp error bounds for Newton's method under the Kantorovich assumption, Numer. Math. 49 (1986) 203-220.
    • (1986) Numer. Math. , vol.49 , pp. 203-220
    • Yamamoto, T.1
  • 10
    • 0023827018 scopus 로고
    • On the method of tangent hyperbolas in Banach spaces
    • T. Yamamoto, On the method of tangent hyperbolas in Banach spaces, J. Comput. Appl. Math. 21 (1988) 75-86.
    • (1988) J. Comput. Appl. Math. , vol.21 , pp. 75-86
    • Yamamoto, T.1
  • 11
    • 0040474827 scopus 로고
    • Point estimates for Halley's iteration
    • S. Zheng, Point estimates for Halley's iteration, Acta. Math. Appl. Sinica 14 (1991) 376-383.
    • (1991) Acta. Math. Appl. Sinica , vol.14 , pp. 376-383
    • Zheng, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.