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Volumn 59, Issue 2, 2010, Pages 273-287

On the inexactness level of robust Levenberg-Marquardt methods

Author keywords

Levenberg Marquardt method; Nonisolated solution; Nonlinear equation; Quadratic convergence

Indexed keywords


EID: 76649114700     PISSN: 02331934     EISSN: 10294945     Source Type: Journal    
DOI: 10.1080/02331930801951256     Document Type: Article
Times cited : (35)

References (11)
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    • Dan, H.1    Yamashita, N.2    Fukushima, M.3
  • 3
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    • Inexact Levenberg-Marquardt method for nonlinear equations
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    • (2004) Discrete Contin. Dyn. Syst. - Ser. B , vol.4 , pp. 1223-1232
    • Fan, J.1    Pan, J.2
  • 4
    • 13744251115 scopus 로고    scopus 로고
    • On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
    • J. Fan and Y. Yuan, On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption, Computing 74 (2005), pp. 23-39.
    • (2005) Computing , vol.74 , pp. 23-39
    • Fan, J.1    Yuan, Y.2
  • 5
    • 46749142109 scopus 로고    scopus 로고
    • Generalized Nash equilibrium problems and Newton methods
    • DOI 10.1007/s10107-007-0160-2
    • F. Facchinei, A. Fischer, and V. Piccialli, Generalized Nash equilibrium problems and Newton methods, Math. Prog., Available at www.springerlink.com/content/103081, DOI 10.1007/s10107-007-0160-2.
    • Math. Prog.
    • Facchinei, F.1    Fischer, A.2    Piccialli, V.3
  • 6
    • 14944383664 scopus 로고    scopus 로고
    • Local behavior of an iterative framework for generalized equations with nonisolated solutions
    • A. Fischer, Local behavior of an iterative framework for generalized equations with nonisolated solutions, Math. Prog. 94 (2002), pp. 91-124.
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    • Fischer, A.1
  • 7
    • 5044233366 scopus 로고    scopus 로고
    • Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
    • C. Kanzow, N. Yamashita, and M. Fukushima, Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints, J. Comput. Appl. Math. 172 (2004), pp. 375-397.
    • (2004) J. Comput. Appl. Math. , vol.172 , pp. 375-397
    • Kanzow, C.1    Yamashita, N.2    Fukushima, M.3
  • 8
    • 0000873069 scopus 로고
    • A method for the solution of certain non-linear problems in least squares
    • K. Levenberg, A method for the solution of certain non-linear problems in least squares, Quart. Appl. Math. 2 (1944), pp. 164-168.
    • (1944) Quart. Appl. Math. , vol.2 , pp. 164-168
    • Levenberg, K.1
  • 9
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    • An algorithm for least-squares estimation of nonlinear parameters
    • D.W. Marquardt, An algorithm for least-squares estimation of nonlinear parameters, J. Soc. Indust. Appl. Math. 11 (1963), pp. 431-441.
    • (1963) J. Soc. Indust. Appl. Math. , vol.11 , pp. 431-441
    • Marquardt, D.W.1
  • 11
    • 0011662308 scopus 로고    scopus 로고
    • On the rate of convergence of the Levenberg-Marquardt method
    • N. Yamashita and M. Fukushima, On the rate of convergence of the Levenberg-Marquardt method, Computing 15 (2001), pp. 239-249.
    • (2001) Computing , vol.15 , pp. 239-249
    • Yamashita, N.1    Fukushima, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.