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Volumn 10, Issue 4, 2000, Pages 1163-1179

A family of scaled factorized Broyden-like methods for nonlinear least squares problems

Author keywords

Factorized Broyden like method; Nonlinear least squares problem; q quadratic convergence; q superlinear convergence; Structured secant method

Indexed keywords


EID: 0034195908     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623498345300     Document Type: Article
Times cited : (13)

References (10)
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  • 3
    • 0001184183 scopus 로고
    • Convergence theory for the structured BFGS secant method with an application to nonlinear least squares
    • J. E. DENNIS, JR., H. J. MARTINEZ, AND R. A. TAPIA, Convergence theory for the structured BFGS secant method with an application to nonlinear least squares, J. Optim. Theory Appl., 61 (1989), pp. 161-178.
    • (1989) J. Optim. Theory Appl. , vol.61 , pp. 161-178
    • Dennis J.E., Jr.1    Martinez, H.J.2    Tapia, R.A.3
  • 6
    • 0002178198 scopus 로고
    • On the use of product structure in secant methods for nonlinear least squares problems
    • J. HUSCHENS, On the use of product structure in secant methods for nonlinear least squares problems, SIAM J. Optim., 4 (1994), pp. 108-129.
    • (1994) SIAM J. Optim. , vol.4 , pp. 108-129
    • Huschens, J.1
  • 7
    • 0002183305 scopus 로고
    • Structured quasi-Newton methods for nonlinear least squares problems
    • H. YABE AND TAKAHASHI, Structured quasi-Newton methods for nonlinear least squares problems, TRU Math., 24 (1988), pp. 195-209.
    • (1988) TRU Math. , vol.24 , pp. 195-209
    • Yabe, H.1    Takahashi2
  • 8
    • 0026191354 scopus 로고
    • Factorized quasi-Newton methods for nonlinear least squares problems
    • H. YABE AND TAKAHASHI, Factorized quasi-Newton methods for nonlinear least squares problems, Math. Programming, 51 (1991), pp. 75-100.
    • (1991) Math. Programming , vol.51 , pp. 75-100
    • Yabe, H.1    Takahashi2
  • 9
    • 21844505007 scopus 로고
    • Convergence of a factorized Broyden-like family for nonlinear least squares problems
    • H. YABE AND N. YAMAKI, Convergence of a factorized Broyden-like family for nonlinear least squares problems, SIAM J. Optim., 5 (1995), pp. 770-791.
    • (1995) SIAM J. Optim. , vol.5 , pp. 770-791
    • Yabe, H.1    Yamaki, N.2
  • 10
    • 0031504169 scopus 로고    scopus 로고
    • Nonmonotone Levenberg-Marquardt algorithms and their convergence analysis
    • J. ZHANG AND L. CHEN, Nonmonotone Levenberg-Marquardt algorithms and their convergence analysis, J. Optim. Theory Appl., 92 (1997), pp. 397-422.
    • (1997) J. Optim. Theory Appl. , vol.92 , pp. 397-422
    • Zhang, J.1    Chen, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.