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Volumn 7, Issue 1, 2000, Pages 29-40

Semilocal convergence theorems for a certain class of iterative procedures

Author keywords

Banach space; Fr chetderivative; Generalized inverse; Newton like method; Outer inverse

Indexed keywords

BANACH SPACES; INVERSE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL OPERATORS;

EID: 84892939167     PISSN: 15985865     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf03009926     Document Type: Article
Times cited : (4)

References (11)
  • 1
    • 0007239131 scopus 로고
    • On the solution of undetermined systems of nonlinear equations in Euclidean spaces
    • I. K. Argyros, On the solution of undetermined systems of nonlinear equations in Euclidean spaces, Pure Math. Appl. (PUMA) 4, 3 (1993), 199-209.
    • (1993) Pure Math. Appl. (PUMA) , vol.4 , Issue.3 , pp. 199-209
    • Argyros, I.K.1
  • 2
    • 0009345919 scopus 로고
    • On the convergence of inexact Newton-like methods
    • I. K. Argyros, On the convergence of inexact Newton-like methods, Public. Math. Debrecen 43, (1 and 2) (1993), 79-85.
    • (1993) Public. Math. Debrecen , vol.43 , Issue.1-2 , pp. 79-85
    • Argyros, I.K.1
  • 3
    • 0039205183 scopus 로고
    • A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions
    • I. K. Argyros, A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions, Appl. Math. Comput. 61, 1 (1994), 25-37.
    • (1994) Appl. Math. Comput. , vol.61 , Issue.1 , pp. 25-37
    • Argyros, I.K.1
  • 4
    • 0008854050 scopus 로고
    • A unified approach for constructing fast two-step Newton-like methods
    • I. K. Argyros, A unified approach for constructing fast two-step Newton-like methods, Mh. Math. 119 (1995), 1-22.
    • (1995) Mh. Math. , vol.119 , pp. 1-22
    • Argyros, I.K.1
  • 6
    • 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 App. Math. 1 (1998).
    • (1998) Southwest Journal of Pure App. Math. , vol.1
    • Argyros, I.K.1
  • 8
    • 21344485372 scopus 로고
    • Convergence of Newton-like methods for singular operator equations using outer inverses
    • X. Chen and M. Z. Nashed, Convergence of Newton-like methods for singular operator equations using outer inverses, Numer. Math. 66 (1993), 235-257.
    • (1993) Numer. Math. , vol.66 , pp. 235-257
    • Chen, X.1    Nashed, M.Z.2
  • 9
    • 0001820687 scopus 로고
    • Affine invariant convergence theorems for Newton's method and extensions to related methods
    • P. Deuflhard and G. Heindl, Affine invariant convergence theorems for Newton's method and extensions to related methods, SIAM J. Numer. Anal. 16 (1979), 1-10.
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 1-10
    • Deuflhard, P.1    Heindl, G.2
  • 11
    • 0007163216 scopus 로고
    • Inner, outer and generalized inverses in Banach and Hilbert spaces
    • M. Z. Nashed, Inner, outer and generalized inverses in Banach and Hilbert spaces, Numer. Funct. Anal. Optimiz. 9 (1987), 261-325.
    • (1987) Numer. Funct. Anal. Optimiz. , vol.9 , pp. 261-325
    • Nashed, M.Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.