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Volumn 36, Issue 4, 1998, Pages 9-20

The application of an inverse-free Jarratt-type approximation to nonlinear integral equations of Hammerstein-type

Author keywords

A priori error bounds; Convergence theorem; Multipoint iterations; Nonlinear equations; Recurrence relations

Indexed keywords

APPROXIMATION THEORY; INTEGRAL EQUATIONS; INVERSE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; SET THEORY;

EID: 0032142291     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00137-0     Document Type: Article
Times cited : (18)

References (14)
  • 1
    • 0025238355 scopus 로고
    • Recurrence relations for rational cubic methods I: The Halley method
    • V. Candela and A. Marquina, Recurrence relations for rational cubic methods I: The Halley method, Computing 44, 169-184, (1990).
    • (1990) Computing , vol.44 , pp. 169-184
    • Candela, V.1    Marquina, A.2
  • 2
    • 0002639758 scopus 로고
    • A local convergence theorem for the super-Halley method in a Banach space
    • D. Chen, I.K. Argyros and Q. Qian, A local convergence theorem for the super-Halley method in a Banach space, Appl. Math. Lett. 7 (5), 49-52, (1994).
    • (1994) Appl. Math. Lett. , vol.7 , Issue.5 , pp. 49-52
    • Chen, D.1    Argyros, I.K.2    Qian, Q.3
  • 3
    • 0031064164 scopus 로고    scopus 로고
    • A family of Chebyshev-Halley type methods in Banach spaces
    • J.M. Gutiérrez and M.A. Hernández, A family of Chebyshev-Halley type methods in Banach spaces, Bull. Austral. Math. Soc. 55, 113-130, (1997).
    • (1997) Bull. Austral. Math. Soc. , vol.55 , pp. 113-130
    • Gutiérrez, J.M.1    Hernández, M.A.2
  • 4
    • 0001440927 scopus 로고
    • A note on Halley's method
    • M.A. Hernández, A note on Halley's method, Numer. Math. 59 (3), 273-276, (1991).
    • (1991) Numer. Math. , vol.59 , Issue.3 , pp. 273-276
    • Hernández, M.A.1
  • 5
    • 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, 75-86, (1988).
    • (1988) J. Comput. Appl. Math. , vol.21 , pp. 75-86
    • Yamamoto, T.1
  • 6
    • 0002865409 scopus 로고
    • The majorant principle for Newton's method
    • L.V. Kantorovich, The majorant principle for Newton's method, Dokl. Akad. Nauk SSSR 76, 17-20, (1951).
    • (1951) Dokl. Akad. Nauk SSSR , vol.76 , pp. 17-20
    • Kantorovich, L.V.1
  • 9
    • 0043167845 scopus 로고    scopus 로고
    • An inverse-free Jarratt-type approximation in a Banach space
    • I.K. Argyros, D. Chen and Q. Qian, 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    Qian, Q.3
  • 11
    • 0021195508 scopus 로고
    • Newton-like methods for the computation of fixed points
    • W. Werner, Newton-like methods for the computation of fixed points, Computers Math. Applic. 10 (1), 77-86, (1984).
    • (1984) Computers Math. Applic. , vol.10 , Issue.1 , pp. 77-86
    • Werner, W.1
  • 14
    • 0000205950 scopus 로고
    • A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
    • T. Yamamoto, A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions, Numer. Math. 49, 203-220, (1986).
    • (1986) Numer. Math. , vol.49 , pp. 203-220
    • Yamamoto, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.