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Volumn 47, Issue 6-7, 2004, Pages 1057-1067

Convergence and uniqueness properties of Gauss-Newton's method

Author keywords

Convergence ball; Gauss Newton's method; Lipschitz conditions with L average; Uniqueness ball

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 2542442365     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(04)90086-7     Document Type: Article
Times cited : (48)

References (12)
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    • Wang, X.1
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    • Newton's method estimates from data at one point
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    • S. Smale, Newton's method estimates from data at one point, In The Merging of Disciplines: New Directions in Pure, Applied and Computational Mathematics, (Edited by R. Ewing, K. Gross and C. Martin), pp. 185-196, Springer-Verlag, New York, (1986).
    • (1986) The Merging of Disciplines: New Directions in Pure, Applied and Computational Mathematics , pp. 185-196
    • Smale, S.1
  • 6
    • 0004969707 scopus 로고    scopus 로고
    • Criterion α and Newton's method
    • X. Wang and D. Han, Criterion α and Newton's method, Chinese J. Numer. and Appl. Math. 19 (2), 96-105, (1997).
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    • Wang, X.1    Han, D.2
  • 7
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    • Convergence of Newton's method and uniqueness of the solution of equations in Banach space
    • X. Wang, Convergence of Newton's method and uniqueness of the solution of equations in Banach space, IMA J. Numer. Anal. 20, 123-134, (2000).
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    • Wang, X.1
  • 9
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    • On the continuity of the generalized inverse
    • G. Stewart, On the continuity of the generalized inverse, SIAM J. Appl. Math. 17, 33-45, (1960).
    • (1960) SIAM J. Appl. Math. , vol.17 , pp. 33-45
    • Stewart, G.1
  • 10
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    • Perturbation theory for pseudo-inverse
    • P. Wedin, Perturbation theory for pseudo-inverse, BIT 13, 217-232, (1973).
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  • 11
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    • Convergence of Newton's method and uniqueness of the solution of equations in Banach spaces II
    • X. Wang and C. Li, Convergence of Newton's method and uniqueness of the solution of equations in Banach spaces II, Act. Math. Sinica, New Ser. 18 (2), 405-412, (2003).
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    • Wang, X.1    Li, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.