메뉴 건너뛰기




Volumn 44, Issue 9, 2001, Pages 1107-1114

The non-interior continuation methods for solving the P0 function nonlinear complementarity problem

Author keywords

Boundedness of the iteration sequence; Non interior continuation method; Nonlinear complementarity problem; P0 function

Indexed keywords


EID: 0012459581     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02877427     Document Type: Article
Times cited : (43)

References (24)
  • 1
    • 0032131487 scopus 로고    scopus 로고
    • The global linear convergence of a non-interior path-following algorithm for linear complementarity problems
    • Burke, J., Xu, S., The global linear convergence of a non-interior path-following algorithm for linear complementarity problems, Math. Oper. Res., 1998, 23(3): 719-734.
    • (1998) Math. Oper. Res. , vol.23 , Issue.3 , pp. 719-734
    • Burke, J.1    Xu, S.2
  • 2
    • 0039938688 scopus 로고    scopus 로고
    • 0, and monotone NCP
    • 0, and monotone NCP, SIAM J. Optim., 1999, 9(3): 624-645.
    • (1999) SIAM J. Optim. , vol.9 , Issue.3 , pp. 624-645
    • Chen, B.1    Chen, X.2
  • 3
    • 0040531597 scopus 로고    scopus 로고
    • A global linear and local quadratic non-interior continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing functions
    • Chen, B., Xiu, N., A global linear and local quadratic non-interior continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing functions, SIAM J. Optim., 1999, 9(3): 605-623.
    • (1999) SIAM J. Optim. , vol.9 , Issue.3 , pp. 605-623
    • Chen, B.1    Xiu, N.2
  • 4
    • 0032657647 scopus 로고    scopus 로고
    • Beyond monotonicity in regularization methods for nonlinear complementarity problems
    • Facchinei, F., Kanzow, C., Beyond monotonicity in regularization methods for nonlinear complementarity problems, SIAM J. Control Optim., 1999, 37(4): 1150-1161.
    • (1999) SIAM J. Control Optim. , vol.37 , Issue.4 , pp. 1150-1161
    • Facchinei, F.1    Kanzow, C.2
  • 6
    • 0032682238 scopus 로고    scopus 로고
    • A regularization Newton method for solving nonlinear complementarity problems
    • Sun, D., A regularization Newton method for solving nonlinear complementarity problems, Appl. Math. Optim., 1999, 40 (3): 315-339.
    • (1999) Appl. Math. Optim. , vol.40 , Issue.3 , pp. 315-339
    • Sun, D.1
  • 7
    • 0035238733 scopus 로고    scopus 로고
    • 0-functions in box variational inequality problems
    • 0-functions in box variational inequality problems, SIAM J. Optim., 2000, 11: 748-760.
    • (2000) SIAM J. Optim. , vol.11 , pp. 748-760
    • Ravindran, G.1    Gowda, M.S.2
  • 8
    • 21344485287 scopus 로고
    • A non-interior-point continuation method for linear complementarity problem
    • Chen, B., Harker, P. T., A non-interior-point continuation method for linear complementarity problem, SIAM J. Matrix Anal. Appl., 1993, 14(4): 1168-1190.
    • (1993) SIAM J. Matrix Anal. Appl. , vol.14 , Issue.4 , pp. 1168-1190
    • Chen, B.1    Harker, P.T.2
  • 9
    • 0030648154 scopus 로고    scopus 로고
    • A comparison of algorithms for large-scale mixed complementarity problems
    • Billus, S. C., Dirkse, S. P., Ferris, M. C., A comparison of algorithms for large-scale mixed complementarity problems, Comput. Optim. Appl., 1997, 7(1): 3-25.
    • (1997) Comput. Optim. Appl. , vol.7 , Issue.1 , pp. 3-25
    • Billus, S.C.1    Dirkse, S.P.2    Ferris, M.C.3
  • 10
    • 0030517292 scopus 로고    scopus 로고
    • Some noninterior continuation methods for linear complementarity problems
    • Kanzow, C., Some noninterior continuation methods for linear complementarity problems, SIAM J. Matrix Anal. Appl., 1996, 17(4): 851-868.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , Issue.4 , pp. 851-868
    • Kanzow, C.1
  • 11
    • 0002125047 scopus 로고
    • Algorithms for solving equations
    • (ed. Gleason, A. M.), Providence, Rhode Island: American Mathematics Society
    • Smale, S., Algorithms for solving equations, in Proceeding of International Congress of Mathematicians (ed. Gleason, A. M.), Providence, Rhode Island: American Mathematics Society, 1987, 172-195.
    • (1987) Proceeding of International Congress of Mathematicians , pp. 172-195
    • Smale, S.1
  • 12
    • 0042532942 scopus 로고
    • A parameterized Newton method and a Broyden-like method for solving nonsmooth equations
    • Chen, X., Qi, L., A parameterized Newton method and a Broyden-like method for solving nonsmooth equations, Comput. Optim. Appl., 1995, 5: 97-138.
    • (1995) Comput. Optim. Appl. , vol.5 , pp. 97-138
    • Chen, X.1    Qi, L.2
  • 13
    • 0030104686 scopus 로고    scopus 로고
    • A class of smoothing functions for nonlinear and mixed complementarity problems
    • Chen, C., Mangasarian, O. L., A class of smoothing functions for nonlinear and mixed complementarity problems, Comput. Optim. Appl.. 1996, 5: 97-138.
    • (1996) Comput. Optim. Appl.. , vol.5 , pp. 97-138
    • Chen, C.1    Mangasarian, O.L.2
  • 14
    • 0000697391 scopus 로고    scopus 로고
    • Analysis of a non-interior continuation method based on Chen-Mangasarian smoothing functions for complementarity problems
    • (eds. Fukushima, M., Qi, L.), Boston: Kluwer Academic Publishers
    • Tseng, P., Analysis of a non-interior continuation method based on Chen-Mangasarian smoothing functions for complementarity problems, Reformulation-Nonsmooth, PiecewiseSmooth, Semismooth and Smoothing Methods (eds. Fukushima, M., Qi, L.), Boston: Kluwer Academic Publishers, 1999, 381-404.
    • (1999) Reformulation-nonsmooth, PiecewiseSmooth, Semismooth and Smoothing Methods , pp. 381-404
    • Tseng, P.1
  • 16
    • 84948263182 scopus 로고
    • A special Newton-type optimization method
    • Fischer, A., A special Newton-type optimization method, Optim., 1992, 24: 269-284.
    • (1992) Optim. , vol.24 , pp. 269-284
    • Fischer, A.1
  • 17
    • 0007546250 scopus 로고    scopus 로고
    • 0 - Functions
    • 0 - functions, SIAM J. Optim., 1999, 10(2): 315-330.
    • (1999) SIAM J. Optim. , vol.10 , Issue.2 , pp. 315-330
    • Qi, H.D.1
  • 18
    • 0003783955 scopus 로고
    • A unified approach to intrior point algorithm for linear complementarity problems
    • Berlin: Springer-Verlag
    • Kojima, M., Megiddo, N., Noma, T. et al., A unified approach to intrior point algorithm for linear complementarity problems, Lecture Notes in Computer Science, Berlin: Springer-Verlag, 1991, Vol. 538.
    • (1991) Lecture Notes in Computer Science , vol.538
    • Kojima, M.1    Megiddo, N.2    Noma, T.3
  • 19
    • 0003288058 scopus 로고
    • Critical point theory submanifold geometry
    • Berlin: Springer-Verlag
    • Palais, R. S., Terng, C. L., Critical Point Theory Submanifold Geometry, Lecture Notes in Mathematics, Vol. 1353, Berlin: Springer-Verlag, 1988.
    • (1988) Lecture Notes in Mathematics , vol.1353
    • Palais, R.S.1    Terng, C.L.2
  • 20
    • 0001398951 scopus 로고    scopus 로고
    • Exceptional families, topological degree and complementarity problems
    • Isac, G., Bulavski, V., Kalashnikov, V., Exceptional families, topological degree and complementarity problems, J. Global Optim., 1997, 10(2): 207-225.
    • (1997) J. Global Optim. , vol.10 , Issue.2 , pp. 207-225
    • Isac, G.1    Bulavski, V.2    Kalashnikov, V.3
  • 21
    • 0033244578 scopus 로고    scopus 로고
    • Exceptional families and existence theorems for variational inequality problems
    • Zhao, Y., Han, J., Qi, H., Exceptional families and existence theorems for variational inequality problems, J. Optim. Theory Appl., 1999, 101(2): 475-495.
    • (1999) J. Optim. Theory Appl. , vol.101 , Issue.2 , pp. 475-495
    • Zhao, Y.1    Han, J.2    Qi, H.3
  • 22
    • 0031078565 scopus 로고    scopus 로고
    • A new approach to continuation methods for complementarity problem with uniform P-function
    • Kanzow, C., A new approach to continuation methods for complementarity problem with uniform P-function, Oper. Res. Letters, 1997, 20(2): 85-92.
    • (1997) Oper. Res. Letters , vol.20 , Issue.2 , pp. 85-92
    • Kanzow, C.1
  • 23
    • 0032673793 scopus 로고    scopus 로고
    • Continuation method for nonlinear complementarity problems via normal maps
    • Chen, B., Harker, P. T., Pmar, M. C., Continuation method for nonlinear complementarity problems via normal maps, European J. Oper. Res., 1999, 116: 591-606.
    • (1999) European J. Oper. Res. , vol.116 , pp. 591-606
    • Chen, B.1    Harker, P.T.2    Pmar, M.C.3
  • 24
    • 0031493118 scopus 로고    scopus 로고
    • Smooth approximation to nonlinear complementarity problems
    • Chen, B., Harker, P. T., Smooth approximation to nonlinear complementarity problems, SIAM J. Optim., 1997, 7(2): 403-420.
    • (1997) SIAM J. Optim. , vol.7 , Issue.2 , pp. 403-420
    • Chen, B.1    Harker, P.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.