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Volumn 94, Issue 2, 1997, Pages 449-467

Stationary points of bound constrained minimization reformulations of complementarity problems

(1)  Solodov, M V a  

a IMPA   (Brazil)

Author keywords

Bound constrained reformulations; Complementarity problems; Regularity conditions; Stationary points

Indexed keywords

CONSTRAINED OPTIMIZATION;

EID: 0031503709     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022695931376     Document Type: Article
Times cited : (13)

References (28)
  • 1
    • 0026763569 scopus 로고
    • Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
    • FUKUSHIMA, M., Equivalent Differentiable Optimization Problems and Descent Methods for Asymmetric Variational Inequality Problems, Mathematical Programming, Vol. 53, pp. 99-110, 1992.
    • (1992) Mathematical Programming , vol.53 , pp. 99-110
    • Fukushima, M.1
  • 2
    • 34250076671 scopus 로고
    • Nonlinear complementarity as unconstrained and constrained minimization
    • MANGASARIAN, O. L., and SOLODOV, M. V., Nonlinear Complementarity as Unconstrained and Constrained Minimization, Mathematical Programming, Vol. 62, pp. 277-297, 1993.
    • (1993) Mathematical Programming , vol.62 , pp. 277-297
    • Mangasarian, O.L.1    Solodov, M.V.2
  • 3
    • 0008973240 scopus 로고
    • Optimization based globally convergent methods for the nonlinear complementarity problem
    • TAJI, K., and FUKUSHIMA, M., Optimization Based Globally Convergent Methods for the Nonlinear Complementarity Problem, Journal of the Operations Research Society of Japan, Vol. 37, pp. 310-331, 1994.
    • (1994) Journal of the Operations Research Society of Japan , vol.37 , pp. 310-331
    • Taji, K.1    Fukushima, M.2
  • 4
    • 85033077921 scopus 로고
    • On unconstrained and constrained stationary points of the implicit Lagrangian
    • Institute of Applied Mathematics, University of Hamburg, Hamburg, Germany
    • FACCHINEI, F., and KANZOW, C., On Unconstrained and Constrained Stationary Points of the Implicit Lagrangian, Technical Report A-97, Institute of Applied Mathematics, University of Hamburg, Hamburg, Germany, 1995.
    • (1995) Technical Report A-97
    • Facchinei, F.1    Kanzow, C.2
  • 6
    • 0003000071 scopus 로고
    • Complementarity problems
    • Edited by R. Horst and P. Pardalos, Kluwer Academic Publishers, Boston, Massachusetts
    • PANG, J. S., Complementarity Problems, Handbook of Global Optimization, Edited by R. Horst and P. Pardalos, Kluwer Academic Publishers, Boston, Massachusetts, pp. 271-338, 1995.
    • (1995) Handbook of Global Optimization , pp. 271-338
    • Pang, J.S.1
  • 8
    • 0030540616 scopus 로고    scopus 로고
    • Nonlinear complementarity as unconstrained optimization
    • KANZOW, C., Nonlinear Complementarity as Unconstrained Optimization, Journal of Optimization Theory and Applications, Vol. 88, pp. 139-155, 1996.
    • (1996) Journal of Optimization Theory and Applications , vol.88 , pp. 139-155
    • Kanzow, C.1
  • 10
    • 85033082056 scopus 로고    scopus 로고
    • A new class of merit functions for the nonlinear complementarity problem
    • to appear
    • LUO, Z. Q., and TSENG, P., A New Class of Merit Functions for the Nonlinear Complementarity Problem, SIAM Journal on Optimization (to appear).
    • SIAM Journal on Optimization
    • Luo, Z.Q.A.1    Tseng, P.2
  • 11
    • 85033097570 scopus 로고    scopus 로고
    • A merit function and a Newton-type method for symmetric linear complementarity problems
    • to appear
    • Li, W., A Merit Function and a Newton-Type Method for Symmetric Linear Complementarity Problems, SIAM Journal on Optimization (to appear).
    • SIAM Journal on Optimization
    • Li, W.1
  • 12
    • 0013629073 scopus 로고
    • Global methods for nonlinear complementarity problems
    • Mathematics and Computer Sciences Division, Argonne National Laboratory
    • MORE, J., Global Methods for Nonlinear Complementarity Problems, Technical Report MCS-P429-0494, Mathematics and Computer Sciences Division, Argonne National Laboratory, 1994.
    • (1994) Technical Report Mcs-p429-0494
    • More, J.1
  • 13
    • 0030303845 scopus 로고    scopus 로고
    • Equivalence of complementarity problems to differentiable minimization: A unified approach
    • TSENG, P., YAMASHITA, N., and FUKUSHIMA, M., Equivalence of Complementarity Problems to Differentiable Minimization: A Unified Approach, SIAM Journal on Optimization, Vol. 6, pp. 446-460, 1996.
    • (1996) SIAM Journal on Optimization , vol.6 , pp. 446-460
    • Tseng, P.1    Yamashita, N.2    Fukushima, M.3
  • 14
    • 0040221503 scopus 로고
    • Projected gradient methods for nonlinear complementarity problems via normal maps
    • Edited by D. Z. Du, L. Qi, and R. Womersley, World Scientific Publishers, Singapore
    • FERRIS, M., and RALPH, D., Projected Gradient Methods for Nonlinear Complementarity Problems via Normal Maps, Recent Advances in Nonsmooth Optimization, Edited by D. Z. Du, L. Qi, and R. Womersley, World Scientific Publishers, Singapore, pp. 1-29, 1994.
    • (1994) Recent Advances in Nonsmooth Optimization , pp. 1-29
    • Ferris, M.1    Ralph, D.2
  • 15
    • 0002132714 scopus 로고
    • An NCP function and its use for the solution of complementarity problems
    • Edited by D. Z. Du, L. Qi, and R. Womersley, World Scientific Publishers, Singapore
    • FISCHER, A., An NCP Function and Its Use for the Solution of Complementarity Problems, Recent Advances in Nonsmooth Optimization, Edited by D. Z. Du, L. Qi, and R. Womersley, World Scientific Publishers, Singapore, pp. 88-105, 1995.
    • (1995) Recent Advances in Nonsmooth Optimization , pp. 88-105
    • Fischer, A.1
  • 16
    • 0040464123 scopus 로고
    • A semismooth equation approach to the solution of nonlinear complementarity problems
    • Dipartimento di Informatica e Sistemistica, Université di Roma "La Sapienza", Rome, Italy
    • LUCA, T. D., FACCHINEI, F., and KANZOW, C., A Semismooth Equation Approach to the Solution of Nonlinear Complementarity Problems, Technical Report, Dipartimento di Informatica e Sistemistica, Université di Roma "La Sapienza", Rome, Italy, 1995.
    • (1995) Technical Report
    • Luca, T.D.1    Facchinei, F.2    Kanzow, C.3
  • 17
    • 85033077866 scopus 로고
    • Inexact Newton methods for semismooth equations with applications to variational inequality problems
    • Institute of Numerical Mathematics, Dresden University of Technology, Dresden, Germany
    • FACCHINEL, F., FISCHER, A., and KANZOW, C., Inexact Newton Methods for Semismooth Equations with Applications to Variational Inequality Problems, Technical Report, Institute of Numerical Mathematics, Dresden University of Technology, Dresden, Germany, 1995.
    • (1995) Technical Report
    • Facchinel, F.1    Fischer, A.2    Kanzow, C.3
  • 18
    • 34250083447 scopus 로고
    • NE/SQP: A Robust algorithm for the nonlinear complementarity problem
    • PANG, J. S., and GABRIEL, S., NE/SQP: A Robust Algorithm for the Nonlinear Complementarity Problem, Mathematical Programming, Vol. 60, pp. 295-337, 1993.
    • (1993) Mathematical Programming , vol.60 , pp. 295-337
    • Pang, J.S.1    Gabriel, S.2
  • 19
    • 0040600293 scopus 로고
    • A new nonsmooth equations approach to nonlinear complementarities
    • School of Mathematics, University of New South Wales, Sydney, NSW, Australia
    • JIANG, H., and QI, L., A New Nonsmooth Equations Approach to Nonlinear Complementarities, Technical Report AMR94/31, School of Mathematics, University of New South Wales, Sydney, NSW, Australia, 1994.
    • (1994) Technical Report Amr94/31
    • Jiang, H.1    Qi, L.2
  • 20
    • 0002358032 scopus 로고    scopus 로고
    • Merit functions for variational inequality and complementarity problems
    • Edited by G. D. Pillo and F. Giannessi, Plenum Publishing Corporation, New York, New York
    • FUKUSHIMA, M., Merit Functions for Variational Inequality and Complementarity Problems, Nonlinear Optimization and Applications, Edited by G. D. Pillo and F. Giannessi, Plenum Publishing Corporation, New York, New York, 1996.
    • (1996) Nonlinear Optimization and Applications
    • Fukushima, M.1
  • 23
    • 21844488561 scopus 로고
    • On stationary points of the implicit Lagrangian for nonlinear complementarity problems
    • YAMASHITA, N., and FUKUSHIMA, M., On Stationary Points of the Implicit Lagrangian for Nonlinear Complementarity Problems, Journal of Optimization Theory and Applications, Vol. 84, pp. 653-663, 1995.
    • (1995) Journal of Optimization Theory and Applications , vol.84 , pp. 653-663
    • Yamashita, N.1    Fukushima, M.2
  • 24
    • 0041058189 scopus 로고
    • Unconstrained minimization approaches to nonlinear complementarities
    • School of Mathematics, University of New South Wales, Sydney, NSW, Australia
    • JIANG, H., Unconstrained Minimization Approaches to Nonlinear Complementarities, Technical Report AMR94/33, School of Mathematics, University of New South Wales, Sydney, NSW, Australia, 1994.
    • (1994) Technical Report Amr94/33
    • Jiang, H.1
  • 25
    • 0039279376 scopus 로고
    • The convexity of the implicit Lagrangian
    • State Key Laboratory of Scientific and Engineering Computing, Academia Sinica, Beijing, China
    • PENG, J. M., The Convexity of the Implicit Lagrangian, Technical Report, State Key Laboratory of Scientific and Engineering Computing, Academia Sinica, Beijing, China, 1995.
    • (1995) Technical Report
    • Peng, J.M.1
  • 26
    • 0039871154 scopus 로고
    • Unconstrained optimization reformulations of variational inequality problems
    • Graduate School of Information Science, Nara Institute of Science and Technology, Nara, Japan
    • YAMASHITA, N., TAJI, K., and FUKUSHIMA, M., Unconstrained Optimization Reformulations of Variational Inequality Problems, Technical Report, Graduate School of Information Science, Nara Institute of Science and Technology, Nara, Japan, 1995.
    • (1995) Technical Report
    • Yamashita, N.1    Taji, K.2    Fukushima, M.3
  • 27
    • 0040222294 scopus 로고    scopus 로고
    • New NCP functions and their properties
    • Nara Institute of Science and Technology, Nara, Japan
    • KANZOW, C., YAMASHITA, N., and FUKUSHIMA, M., New NCP Functions and Their Properties, Technical Report TR-IS-96010, Nara Institute of Science and Technology, Nara, Japan, 1996.
    • (1996) Technical Report Tr-is-96010
    • Kanzow, C.1    Yamashita, N.2    Fukushima, M.3
  • 28
    • 0041058192 scopus 로고
    • A new constrained optimization reformulation for complementarity problems
    • Institute for Numerical Mathematics, Technical University of Dresden, Dresden, Germany
    • FISCHER, A., A New Constrained Optimization Reformulation for Complementarity Problems, Technical Report MATH-NM-10-1995, Institute for Numerical Mathematics, Technical University of Dresden, Dresden, Germany, 1995.
    • (1995) Technical Report Math-nm-10-1995
    • Fischer, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.