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Volumn 39, Issue 1-2, 1999, Pages 69-75

Local convergence of inexact Newton-like-iterative methods and applications

Author keywords

Autonomous differential equation; Banach space; Fr chet derivative; Inexact Newton like method; Nonlinear equation; Quasi Newton method; Radius of convergence

Indexed keywords


EID: 0041116657     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(99)00314-4     Document Type: Article
Times cited : (12)

References (11)
  • 1
    • 0023329240 scopus 로고
    • A local convergence theory for combined inexact-Newton/finite-difference projection methods
    • P.N. Brown, A local convergence theory for combined inexact-Newton/finite-difference projection methods, SIAM J. Numer. Anal. 24 (2), 407-434, (1987).
    • (1987) SIAM J. Numer. Anal. , vol.24 , Issue.2 , pp. 407-434
    • Brown, P.N.1
  • 3
    • 0021446370 scopus 로고
    • Local convergence of inexact Newton methods
    • T.J. Ypma, Local convergence of inexact Newton methods, SIAM J. Numer. Anal. 21 (3), 583-590, (1984).
    • (1984) SIAM J. Numer. Anal. , vol.21 , Issue.3 , pp. 583-590
    • Ypma, T.J.1
  • 4
    • 0040910805 scopus 로고
    • Convergence of Newton-like iterative methods
    • T.J. Ypma, Convergence of Newton-like iterative methods, Numer. Math. 45, 241-251, (1984).
    • (1984) Numer. Math. , vol.45 , pp. 241-251
    • Ypma, T.J.1
  • 5
    • 0033293319 scopus 로고    scopus 로고
    • Relations between forcing sequences and inexact Newton iterates on Banach space
    • I.K. Argyros, Relations between forcing sequences and inexact Newton iterates on Banach space, Computing 62, (1999).
    • (1999) Computing , vol.62
    • Argyros, I.K.1
  • 6
    • 0000367866 scopus 로고
    • On Q-order and R-order of convergence
    • F.A. Potra, On Q-order and R-order of convergence, SIAM J. Optimiz. Th. Appl. 63 (3), 415-431, (1989).
    • (1989) SIAM J. Optimiz. Th. Appl. , vol.63 , Issue.3 , pp. 415-431
    • Potra, F.A.1
  • 9
    • 0007233150 scopus 로고    scopus 로고
    • Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method
    • I.K. Argyros, Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method, Southwest Journal of Pure Appl. Math. 1, (1998).
    • (1998) Southwest Journal of Pure Appl. Math. , vol.1
    • Argyros, I.K.1
  • 10
    • 0009459741 scopus 로고
    • On the convergence of some projection methods with perturbation
    • I.K. Argyros, On the convergence of some projection methods with perturbation, J. Comput. Appl. Math. 36, 255-258, (1991).
    • (1991) J. Comput. Appl. Math. , vol.36 , pp. 255-258
    • Argyros, I.K.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.