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Volumn 74, Issue 2-3, 1996, Pages 119-141

Results on Newton methods: Part I. A unified approach for constructing perturbed Newton-like methods in Banach space and their applications

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EID: 23644460861     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/0096-3003(95)00090-9     Document Type: Article
Times cited : (3)

References (16)
  • 1
    • 0000298351 scopus 로고
    • A note on the Halley method in Banach spaces
    • I. K. Argyros, and D. Chen, A note on the Halley method in Banach spaces, Appl. Math. Comput. 58:215-224 (1993).
    • (1993) Appl. Math. Comput. , vol.58 , pp. 215-224
    • Argyros, I.K.1    Chen, D.2
  • 2
    • 84971812210 scopus 로고
    • On the monotone convergence of general Newton-like methods
    • I. K. Argyros, and F. Szidarovszky, On the monotone convergence of general Newton-like methods, Bull. Austral. Math. Soc., 45:489-502 (1992).
    • (1992) Bull. Austral. Math. Soc. , vol.45 , pp. 489-502
    • Argyros, I.K.1    Szidarovszky, F.2
  • 5
    • 0024302091 scopus 로고
    • Convergence domains of certain iterative methods for solving nonlinear equations
    • X. Chen, and T. Yamamoto, Convergence domains of certain iterative methods for solving nonlinear equations, Numer. Funct. Anal. Optimiz. 10 (1 and 2):37-48 (1989).
    • (1989) Numer. Funct. Anal. Optimiz. , vol.10 , Issue.1-2 , pp. 37-48
    • Chen, X.1    Yamamoto, T.2
  • 6
    • 0040983960 scopus 로고
    • Convergence theorems for the method of tangent hyperbolas
    • S. Kanno, Convergence theorems for the method of tangent hyperbolas, Math. Japonica, 37:711-722 (1992).
    • (1992) Math. Japonica , vol.37 , pp. 711-722
    • Kanno, S.1
  • 8
    • 0021585816 scopus 로고
    • On an iterative algorithm of order 1.839... for solving nonlinear operator equations
    • F. A. Potra, On an iterative algorithm of order 1.839... for solving nonlinear operator equations, Numer. Funct. Anal. Optimiz. 7:75-106 (1984-85).
    • (1984) Numer. Funct. Anal. Optimiz. , vol.7 , pp. 75-106
    • Potra, F.A.1
  • 9
    • 0039117183 scopus 로고
    • A special matrix equation and its application in microelectronics
    • F. Szidarovszky, and O. Palusinski, A special matrix equation and its application in microelectronics, Appl. Math. Comput. 64:115-119 (1994).
    • (1994) Appl. Math. Comput. , vol.64 , pp. 115-119
    • Szidarovszky, F.1    Palusinski, O.2
  • 10
    • 0002321366 scopus 로고
    • Iteration methods with divided differences of the second order (Russian)
    • S. Ul'm, Iteration methods with divided differences of the second order (Russian), Dokl. Akad. Nauk. SSSR, 158:55-58 (1964),
    • (1964) Dokl. Akad. Nauk. SSSR , vol.158 , pp. 55-58
    • Ul'm, S.1
  • 12
    • 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
  • 13
    • 0023344904 scopus 로고
    • The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates
    • P. P. Zabrejko, and D. F. Nguen, The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates, Numer. Funct. Anal. Optimiz. 9 (5 and 6):671-684 (1987).
    • (1987) Numer. Funct. Anal. Optimiz. , vol.9 , Issue.5-6 , pp. 671-684
    • Zabrejko, P.P.1    Nguen, D.F.2
  • 14
    • 0039319891 scopus 로고
    • On the solution of equations with nondifferentiable operators and the Ptak error estimates
    • I. K. Argyros, On the solution of equations with nondifferentiable operators and the Ptak error estimates, BIT, 90:752-754 (1990).
    • (1990) BIT , vol.90 , pp. 752-754
    • Argyros, I.K.1
  • 15
    • 84971139349 scopus 로고
    • Quadratic equations and applications to Chandrasekhar's and related equations
    • I. K. Argyros, Quadratic equations and applications to Chandrasekhar's and related equations, Bull. Austral. Math. Soc. 32:275-292 (1985).
    • (1985) Bull. Austral. Math. Soc. , vol.32 , pp. 275-292
    • Argyros, I.K.1
  • 16
    • 0039797363 scopus 로고
    • On a class of nonlinear integral equations arising in neutron transport
    • I. K. Argyros, On a class of nonlinear integral equations arising in neutron transport, Aequationes Mathematicae, 36:99-111 (1988).
    • (1988) Aequationes Mathematicae , vol.36 , pp. 99-111
    • Argyros, I.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.