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Volumn 36, Issue 8, 1998, Pages 13-18

A new convergence theorem for the Jarratt method in Banach space

Author keywords

Banach space; Fr chet derivative; Jarratt method; Newton Kantorovich hypothesis; Nonlinear equation

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS;

EID: 0032182525     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00179-5     Document Type: Article
Times cited : (15)

References (11)
  • 2
    • 84968495068 scopus 로고
    • Some fourth order multipoint methods for solving equations
    • P. Jarratt, Some fourth order multipoint methods for solving equations, Math. Comp. 20, 434-437 (1966).
    • (1966) Math. Comp. , vol.20 , pp. 434-437
    • Jarratt, P.1
  • 3
    • 0040822169 scopus 로고
    • Some efficient fourth order multipoint methods for solving equations
    • P. Jarratt, Some efficient fourth order multipoint methods for solving equations, BIT 9, 119-124 (1969).
    • (1969) BIT , vol.9 , pp. 119-124
    • Jarratt, P.1
  • 4
    • 38149146234 scopus 로고
    • The Jarratt method in a Banach space setting
    • I.K. Argyros and D. Chen, The Jarratt method in a Banach space setting, J. Comp. Appl. Math. 51, 103-106 (1994).
    • (1994) J. Comp. Appl. Math. , vol.51 , pp. 103-106
    • Argyros, I.K.1    Chen, D.2
  • 5
    • 0043167845 scopus 로고    scopus 로고
    • An inverse-free Jarratt type approximation in a Banach space
    • I.K. Argyros and D. Chen, An inverse-free Jarratt type approximation in a Banach space, J. Appr. Th. Appl. 12 (1), 19-30 (1996).
    • (1996) J. Appr. Th. Appl. , vol.12 , Issue.1 , pp. 19-30
    • Argyros, I.K.1    Chen, D.2
  • 6
    • 0032142291 scopus 로고    scopus 로고
    • The application of an inverse-free Jarratt type approximation to nonlinear integral equations of Hammerstein type
    • J.A. Ezquerro, J.M. Gutiérrez, M.A. Hernández and M.A. Salanova, The application of an inverse-free Jarratt type approximation to nonlinear integral equations of Hammerstein type, Computers Math. Applic. 36 (4), 9-20 (1998).
    • (1998) Computers Math. Applic. , vol.36 , Issue.4 , pp. 9-20
    • Ezquerro, J.A.1    Gutiérrez, J.M.2    Hernández, M.A.3    Salanova, M.A.4
  • 9
    • 84968520463 scopus 로고
    • Riemann integration and Taylor's theorem in general analysis
    • L.M. Graves, Riemann integration and Taylor's theorem in general analysis, Trans. Amer. Math. Soc. 29, 163-177 (1927).
    • (1927) Trans. Amer. Math. Soc. , vol.29 , pp. 163-177
    • Graves, L.M.1
  • 11
    • 0031550718 scopus 로고    scopus 로고
    • A new semilocal convergence theorem for Newton's method
    • J.M. Gutiérrez, A new semilocal convergence theorem for Newton's method, J. Comput. Appl. Math. 79, 131-145 (1997).
    • (1997) J. Comput. Appl. Math. , vol.79 , pp. 131-145
    • Gutiérrez, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.