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Volumn 95, Issue 1, 1998, Pages 51-62

Chebyshev method and convexity

Author keywords

Chebyshev method; Iterative processes; Nonlinear equations

Indexed keywords


EID: 0006008140     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(97)10091-1     Document Type: Article
Times cited : (17)

References (13)
  • 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
    • 0025560676 scopus 로고
    • Recurrence relations of rational cubic method II: The Chebyshev method
    • V. Candela, A. Marquina, Recurrence relations of rational cubic method II: The Chebyshev method, Computing 45 (1990) 335-367.
    • (1990) Computing , vol.45 , pp. 335-367
    • Candela, V.1    Marquina, A.2
  • 4
    • 0001440927 scopus 로고
    • A note on Halley's method
    • M.A. Hernandez, A note on Halley's method, Numer. Math. 59 (1991) 273-276.
    • (1991) Numer. Math. , vol.59 , pp. 273-276
    • Hernandez, M.A.1
  • 5
    • 0002214493 scopus 로고
    • A unified convergence theory for a class of iterative processes
    • W.C. Rheinboldt, A unified convergence theory for a class of iterative processes, Siam. J. Numer. Anal. 5 (1968) 42-63.
    • (1968) Siam. J. Numer. Anal. , vol.5 , pp. 42-63
    • Rheinboldt, W.C.1
  • 9
    • 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
  • 10
    • 0000690366 scopus 로고
    • Concerning the method of tangent hyperbolas for operator equations
    • D. Altman, Concerning the method of tangent hyperbolas for operator equations. Bull. Ac. Pol. Sci. Math. Astr. Phys. 9 (1961) 633-637.
    • (1961) Bull. Ac. Pol. Sci. Math. Astr. Phys. , vol.9 , pp. 633-637
    • Altman, D.1
  • 12
    • 0000685483 scopus 로고
    • Newton's method under mild differentiability conditions with error analysis
    • J. Rokne, Newton's method under mild differentiability conditions with error analysis, Numer. Math. 18 (1972) 401-412.
    • (1972) Numer. Math. , vol.18 , pp. 401-412
    • Rokne, J.1
  • 13
    • 38249006181 scopus 로고
    • A note on the Kantorovich theorem for Newton iteration
    • H. Zhengda, A note on the Kantorovich theorem for Newton iteration, J. Comput. Appl. Math. 47 (1993) 211-217.
    • (1993) J. Comput. Appl. Math. , vol.47 , pp. 211-217
    • Zhengda, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.