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Volumn 132, Issue 3, 2001, Pages 183-195

Semilocal convergence theorems for Newton's method using outer inverses and hypotheses on the second Fréchet-derivative

Author keywords

Banach space; Fr chet derivative; Generalized inverse; Newton's method; Outer inverse

Indexed keywords


EID: 0039251760     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006050170040     Document Type: Article
Times cited : (4)

References (10)
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    • Argyros, I.K.1
  • 2
    • 0007233150 scopus 로고    scopus 로고
    • Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method
    • Argyros IK (1998) Comparing the radii of some balls appearing in connection to three local convergence theorems for Newton's method. Southwest J Pure Appl Math 1: 24-28
    • (1998) Southwest J Pure Appl Math , vol.1 , pp. 24-28
    • Argyros, I.K.1
  • 4
    • 0000617516 scopus 로고
    • A Newton-Raphson method for the solution of equations
    • Ben-Israel A (1966) A Newton-Raphson method for the solution of equations. J Math Anal Appl 15: 243-253
    • (1966) J Math Anal Appl , vol.15 , pp. 243-253
    • Ben-Israel, A.1
  • 5
    • 21344485372 scopus 로고
    • Convergence of Newton-like methods for singular operator equations using outer inverses
    • Chen X, Nashed MZ (1993) Convergence of Newton-like methods for singular operator equations using outer inverses. Numer Math 66: 235-257
    • (1993) Numer Math , vol.66 , pp. 235-257
    • Chen, X.1    Nashed, M.Z.2
  • 6
    • 0001820687 scopus 로고
    • Affine invariant convergence theorems for Newton's method and extensions to related methods
    • Deuflhard P, Heindl G (1979) Affine invariant convergence theorems for Newton's method and extensions to related methods. SIAM J Numer Anal 16: 1-10
    • (1979) SIAM J Numer Anal , vol.16 , pp. 1-10
    • Deuflhard, P.1    Heindl, G.2
  • 7
    • 0031550718 scopus 로고    scopus 로고
    • A new semilocal convergence theorem for Newton's method
    • Gutieŕrez JM (1997) A new semilocal convergence theorem for Newton's method. J Comput Appl Math 79: 131-145
    • (1997) J Comput Appl Math , vol.79 , pp. 131-145
    • Gutieŕrez, J.M.1
  • 8
    • 0007167706 scopus 로고
    • A Kantorovich-type convergence analysis for the Gauss-Newton method
    • Häubler WM (1986) A Kantorovich-type convergence analysis for the Gauss-Newton method. Numer Math 48: 119-125
    • (1986) Numer Math , vol.48 , pp. 119-125
    • Häubler, W.M.1
  • 10
    • 0007163216 scopus 로고
    • Inner, outer and generalized inverses in Banach and Hilbert spaces
    • Nashed MZ (1987) Inner, outer and generalized inverses in Banach and Hilbert spaces. Numer Funct Anal Optimiz 9: 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.