메뉴 건너뛰기




Volumn 20, Issue 1, 2000, Pages 123-134

Convergence of Newton's method and uniqueness of the solution of equations in Banach space

Author keywords

[No Author keywords available]

Indexed keywords

BANACH SPACES; MATHEMATICAL OPERATORS;

EID: 0034348775     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/20.1.123     Document Type: Article
Times cited : (147)

References (13)
  • 1
    • 0002743289 scopus 로고
    • Sur le principe de la condensation de singularites
    • BANACH, S. & STEINHAUS, H. 1927 Sur le principe de la condensation de singularites. Fund. Math. 9, 50-61.
    • (1927) Fund. Math. , vol.9 , pp. 50-61
    • Banach, S.1    Steinhaus, H.2
  • 3
    • 84968475609 scopus 로고
    • Approximate zeros of quadratically convergent algorithms
    • CHEN PENGYUAN 1994 Approximate zeros of quadratically convergent algorithms. Math. Comput. 63, 247-270.
    • (1994) Math. Comput. , vol.63 , pp. 247-270
    • Pengyuan, C.1
  • 4
    • 85037790729 scopus 로고    scopus 로고
    • Estimations for the separation number of a polynomial system
    • To appear
    • DEDIEU, J. P. 1999 Estimations for the separation number of a polynomial system. J. Symbolic Comput. To appear.
    • (1999) J. Symbolic Comput.
    • Dedieu, J.P.1
  • 6
    • 84966209344 scopus 로고
    • The fundamental theorem of algebra and complexity theory
    • SMALE, S. 1981 The fundamental theorem of algebra and complexity theory. Bull. AMS 4, 1-36.
    • (1981) Bull. AMS , vol.4 , pp. 1-36
    • Smale, S.1
  • 8
    • 85011523909 scopus 로고    scopus 로고
    • Complexity theory and numerical analysis
    • SMALE, S. 1997 Complexity theory and numerical analysis. Acta Numer. 6, 523-551.
    • (1997) Acta Numer. , vol.6 , pp. 523-551
    • Smale, S.1
  • 9
    • 0018456412 scopus 로고
    • Convergence and complexity of Newton iteration
    • TRAUB, J. F. & WOZNIAKOWSKI, H. 1979 Convergence and complexity of Newton iteration. J. Assoc. Comput. Math. 29, 250-258.
    • (1979) J. Assoc. Comput. Math. , vol.29 , pp. 250-258
    • Traub, J.F.1    Wozniakowski, H.2
  • 11
    • 0000117282 scopus 로고    scopus 로고
    • Convergence of the iteration of Halley's family and Smale operator class in Banach space
    • WANG XINGHUA 1998 Convergence of the iteration of Halley's family and Smale operator class in Banach space. Science in China A 41, 700-709.
    • (1998) Science in China A , vol.41 , pp. 700-709
    • Wang, X.1
  • 12
    • 0038932662 scopus 로고    scopus 로고
    • Convergence of Newton's method and inverse function in Banach space
    • WANG XINGHUA 1999 Convergence of Newton's method and inverse function in Banach space. Math. Comput. 68, 169-186.
    • (1999) Math. Comput. , vol.68 , pp. 169-186
    • Wang, X.1
  • 13
    • 0002149487 scopus 로고
    • Random polynomial space and computational complexity theory
    • WANG XINGHUA & XUAN XIAOHUA 1987 Random polynomial space and computational complexity theory. Science in China A 30, 673-684.
    • (1987) Science in China A , vol.30 , pp. 673-684
    • Wang, X.1    Xuan, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.