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Volumn 58, Issue 2, 2003, Pages 283-298

A new trust region method for nonlinear equations

Author keywords

Local error bound; Nonlinear equation system; Superlinear convergence; Trust region method

Indexed keywords

ALGORITHMS; CONFORMAL MAPPING; ERROR ANALYSIS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROBLEM SOLVING; THEOREM PROVING;

EID: 21144457822     PISSN: 14322994     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001860300302     Document Type: Article
Times cited : (68)

References (12)
  • 4
    • 0035261813 scopus 로고    scopus 로고
    • Lipschitzian multifunctions and a Lipschitzian inverse-mapping theorem
    • Levy AB (2001) Lipschitzian multifunctions and a Lipschitzian inverse-mapping theorem. Mathematics of Operations Research 26:105-118
    • (2001) Mathematics of Operations Research , vol.26 , pp. 105-118
    • Levy, A.B.1
  • 5
    • 0000873069 scopus 로고
    • A method for the solution of certain nonlinear problem in least squares
    • Levenberg K (1944) A method for the solution of certain nonlinear problem in least squares. Quart. Appl. Math. 2:164-166
    • (1944) Quart. Appl. Math. , vol.2 , pp. 164-166
    • Levenberg, K.1
  • 6
    • 0000169232 scopus 로고
    • An algorithm for least-squares estimation of nonlinear inequalities
    • Marquardt DW (1963) An algorithm for least-squares estimation of nonlinear inequalities. SIAM J. Appl. Math. 11:431-441
    • (1963) SIAM J. Appl. Math. , vol.11 , pp. 431-441
    • Marquardt, D.W.1
  • 7
    • 0003162836 scopus 로고
    • Recent developments in algorithm and software for trust region methods
    • Bachem A, Grötschel M, Kort B (eds). , Springer, Berlin
    • Moré JJ (1983) Recent developments in algorithm and software for trust region methods. In: Bachem A, Grötschel M, Kort B (eds). Mathematical Programming: the state of art, Springer, Berlin, pp. 258-287
    • (1983) Mathematical Programming: the State of Art , pp. 258-287
    • Moré, J.J.1
  • 11
    • 0011662308 scopus 로고    scopus 로고
    • On the rate of convergence of the Levenberg-Marquardt method
    • Yamashita N, Fukushima M (2001) On the rate of convergence of the Levenberg-Marquardt method. Computing 15:239-249
    • (2001) Computing , vol.15 , pp. 239-249
    • Yamashita, N.1    Fukushima, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.