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Volumn 173, Issue 2, 2005, Pages 321-343

Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints

Author keywords

Constrained equations; Error bounds; Levenberg Marquardt method; Projected gradients; Quadratic convergence

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; ERROR ANALYSIS; ITERATIVE METHODS; LINEAR EQUATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 8144222580     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.03.015     Document Type: Article
Times cited : (69)

References (24)
  • 1
    • 0037298205 scopus 로고    scopus 로고
    • An affine scaling trust-region approach to bound-constrained nonlinear systems
    • Bellavia S. Macconi M. Morini B. An affine scaling trust-region approach to bound-constrained nonlinear systems Appl. Numer. Math. 44 2003 257-280
    • (2003) Appl. Numer. Math. , vol.44 , pp. 257-280
    • Bellavia, S.1    Macconi, M.2    Morini, B.3
  • 2
    • 1942453791 scopus 로고    scopus 로고
    • STRSCNE: A scaled trust-region solver for constrained nonlinear systems
    • to appear
    • Bellavia S. Macconi M. Morini B. STRSCNE: A scaled trust-region solver for constrained nonlinear systems, Comput. Optim. Appl., to appear.
    • Comput. Optim. Appl.
    • Bellavia, S.1    Macconi, M.2    Morini, B.3
  • 4
    • 0036703345 scopus 로고    scopus 로고
    • Convergence properties of the inexact Levenberg-Marquardt method under local error bound conditions
    • Dan H. Yamashita N. Fukushima M. Convergence properties of the inexact Levenberg-Marquardt method under local error bound conditions Optim. Meth. Software 17 2002 605-626
    • (2002) Optim. Meth. Software , vol.17 , pp. 605-626
    • Dan, H.1    Yamashita, N.2    Fukushima, M.3
  • 7
    • 0029425015 scopus 로고
    • MCPLIB: A collection of nonlinear mixed complementarity problems
    • Dirkse S.P. Ferris M.C. MCPLIB: A collection of nonlinear mixed complementarity problems Optim. Meth. Software 5 1995 319-345
    • (1995) Optim. Meth. Software , vol.5 , pp. 319-345
    • Dirkse, S.P.1    Ferris, M.C.2
  • 8
    • 0742326350 scopus 로고    scopus 로고
    • On the convergence of a new Levenberg-Marquardt method
    • Beijing, China: Chinese Academy of Sciences Technical Report, AMSS
    • Fan J.Y. Yuan Y.X. On the convergence of a new Levenberg-Marquardt method, Technical Report, AMSS 2001 Chinese Academy of Sciences Beijing, China
    • (2001)
    • Fan, J.Y.1    Yuan, Y.X.2
  • 10
    • 0013111241 scopus 로고
    • A trust region method for constrained nonsmooth equations
    • W. W. Hager, D. W. Hearn, P. M. Pardalos (Eds.), The Netherlands: Kluwer Academic Press
    • Gabriel S.A. Pang J.-S. A trust region method for constrained nonsmooth equations in: Hager W.W. Hearn D.W. Pardalos P.M. (Eds.) Large Scale Optimization-State of the Art 1994 155-181 Kluwer Academic Press The Netherlands
    • (1994) Large Scale Optimization-State of the Art , pp. 155-181
    • Gabriel, S.A.1    Pang, J.-S.2
  • 12
    • 0000699491 scopus 로고
    • On approximate solutions of systems of linear inequalities
    • Hoffman A.J. On approximate solutions of systems of linear inequalities J. Nat. Bureau Standards 49 1952 263-265
    • (1952) J. Nat. Bureau Standards , vol.49 , pp. 263-265
    • Hoffman, A.J.1
  • 13
    • 0001817483 scopus 로고    scopus 로고
    • An active set-type Newton method for constrained nonlinear systems
    • M. C. Ferris, O. L. Mangasarian, J. -S Pang (Eds.), The Netherlands: Kluwer Academic Publishers
    • Kanzow C. An active set-type Newton method for constrained nonlinear systems in: Ferris M.C. Mangasarian O.L. Pang J.-S. (Eds.) Complementarity: Applications, Algorithms and Extensions 2001 179-200 Kluwer Academic Publishers The Netherlands
    • (2001) Complementarity: Applications, Algorithms and Extensions , pp. 179-200
    • Kanzow, C.1
  • 14
    • 0035610337 scopus 로고    scopus 로고
    • Strictly feasible equation-based methods for mixed complementarity problems
    • Kanzow C. Strictly feasible equation-based methods for mixed complementarity problems Numer. Math. 89 2001 135-160
    • (2001) Numer. Math. , vol.89 , pp. 135-160
    • Kanzow, C.1
  • 17
    • 0001056223 scopus 로고
    • A methodology for solving chemical equilibrium systems
    • Meintjes K. Morgan A.P. A methodology for solving chemical equilibrium systems Appl. Math. Comput. 22 1987 333-361
    • (1987) Appl. Math. Comput. , vol.22 , pp. 333-361
    • Meintjes, K.1    Morgan, A.P.2
  • 18
    • 0025448634 scopus 로고
    • Chemical equilibrium systems as numerical test problems
    • Meintjes K. Morgan A.P. Chemical equilibrium systems as numerical test problems ACM Trans. Math. Software 16 1990 143-151
    • (1990) ACM Trans. Math. Software , vol.16 , pp. 143-151
    • Meintjes, K.1    Morgan, A.P.2
  • 19
    • 0033449236 scopus 로고    scopus 로고
    • A potential reduction Newton method for constrained equations
    • Monteiro R.D.C. Pang J.-S. A potential reduction Newton method for constrained equations SIAM J. Optim. 9 1999 729-754
    • (1999) SIAM J. Optim. , vol.9 , pp. 729-754
    • Monteiro, R.D.C.1    Pang, J.-S.2
  • 21
    • 85139377139 scopus 로고    scopus 로고
    • An active-set projected trust region algorithm for box constrained nonsmooth equations
    • to appear
    • Qi L. Tong X.-J. Li D.-H. An active-set projected trust region algorithm for box constrained nonsmooth equations, J. Optim. Theory Appl., to appear.
    • J. Optim. Theory Appl.
    • Qi, L.1    Tong, X.-J.2    Li, D.-H.3
  • 22
    • 0035643190 scopus 로고    scopus 로고
    • Nonmonotone trust-region method for bound-constrained semismooth equations with applications to nonlinear mixed complementarity problems
    • Ulbrich M. Nonmonotone trust-region method for bound-constrained semismooth equations with applications to nonlinear mixed complementarity problems SIAM J. Optim. 11 2001 889-917
    • (2001) SIAM J. Optim. , vol.11 , pp. 889-917
    • Ulbrich, M.1
  • 23
    • 0000304337 scopus 로고    scopus 로고
    • An interior point potential reduction method for constrained equations
    • Wang T. Monteiro R.D.C. Pang J.-S. An interior point potential reduction method for constrained equations Math. Programming 74 1996 159-195
    • (1996) Math. Programming , vol.74 , pp. 159-195
    • Wang, T.1    Monteiro, R.D.C.2    Pang, J.-S.3
  • 24
    • 0011662308 scopus 로고    scopus 로고
    • On the rate of convergence of the Levenberg-Marquardt method
    • Yamashita N. Fukushima M. On the rate of convergence of the Levenberg-Marquardt method Computing 15 Suppl 2001 239-249
    • (2001) Computing , vol.15 , Issue.SUPPL. , pp. 239-249
    • Yamashita, N.1    Fukushima, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.