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Volumn 62, Issue 1, 2010, Pages 27-46

Convergence properties of the regularized newton method for the unconstrained nonconvex optimization

Author keywords

Global complexity bound; Global convergence; Local error bound; Regularized Newton methods; Superlinear convergence

Indexed keywords

COMPLEXITY BOUNDS; GLOBAL CONVERGENCE; LOCAL ERROR BOUND; REGULARIZED NEWTON METHOD; SUPERLINEAR CONVERGENCE;

EID: 77953610110     PISSN: 00954616     EISSN: 14320606     Source Type: Journal    
DOI: 10.1007/s00245-009-9094-9     Document Type: Article
Times cited : (45)

References (7)
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    • Convergence properties of the inexact Levenberg-Marquardt method under local error bound conditions
    • DOI 10.1080/1055678021000049345
    • H. Dan N. Yamashita M. Fukushima 2002 Convergence properties of the inexact Levenberg-Marquardt method under local error bound conditions Optim. Methods Softw. 17 605 626 1030.65049 10.1080/1055678021000049345 1938337 (Pubitemid 35350765)
    • (2002) Optimization Methods and Software , vol.17 , Issue.4 , pp. 605-626
    • Dan, H.1    Yamashita, N.2    Fukushima, M.3
  • 2
  • 3
    • 67449085722 scopus 로고    scopus 로고
    • Truncated regularized Newton method for convex minimizations
    • 1176.90461 10.1007/s10589-007-9128-7 2501047
    • Y.J. Li D.H. Li 2009 Truncated regularized Newton method for convex minimizations Comput. Optim. Appl. 43 119 131 1176.90461 10.1007/s10589-007- 9128-7 2501047
    • (2009) Comput. Optim. Appl. , vol.43 , pp. 119-131
    • Li, Y.J.1    Li, D.H.2
  • 4
    • 3543109143 scopus 로고    scopus 로고
    • Regularized Newton methods for convex minimization problems with singular solutions
    • 1056.90111 10.1023/B:COAP.0000026881.96694.32 2072529
    • D.H. Li M. Fukushima L. Qil N. Yamashita 2004 Regularized Newton methods for convex minimization problems with singular solutions Comput. Optim. Appl. 28 131 147 1056.90111 10.1023/B:COAP.0000026881.96694.32 2072529
    • (2004) Comput. Optim. Appl. , vol.28 , pp. 131-147
    • Li, D.H.1    Fukushima, M.2    Qil, L.3    Yamashita, N.4
  • 6
    • 65249101213 scopus 로고    scopus 로고
    • Regularized Newton method for unconstrained convex optimization
    • 05550703 10.1007/s10107-007-0143-3 2496429
    • R.A. Polyak 2009 Regularized Newton method for unconstrained convex optimization Math. Program., Ser. B 120 125 145 05550703 10.1007/s10107-007- 0143-3 2496429
    • (2009) Math. Program., Ser. B , vol.120 , pp. 125-145
    • Polyak, R.A.1
  • 7
    • 0011662308 scopus 로고    scopus 로고
    • On the rate of convergence of the Levenberg-Marguardt method
    • 1874516
    • N. Yamashita M. Fukushima 2001 On the rate of convergence of the Levenberg-Marguardt method Comput., Suppl (Wien) 15 227 238 1874516
    • (2001) Comput., Suppl (Wien) , vol.15 , pp. 227-238
    • Yamashita, N.1    Fukushima, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.