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Volumn 123, Issue 2, 2004, Pages 365-390

Convergence of a penalty method for mathematical programming with complementarity constraints

Author keywords

B stationarity; Complementarity constraints; linear independence constraint qualification; penalty methods

Indexed keywords

MATHEMATICAL PROGRAMMING;

EID: 8644263217     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10957-004-5154-0     Document Type: Article
Times cited : (131)

References (19)
  • 1
    • 0001787420 scopus 로고    scopus 로고
    • Convergence of a Smoothing Continuation Method for Mathematical Programs with Complementarity Constraints
    • Edited by M. Théra and R. Tichatschke, Springer, New York, NY
    • FUKUSHIMA, M., and PANG, J. S., Convergence of a Smoothing Continuation Method for Mathematical Programs with Complementarity Constraints, Ill-Posed Variational Problems and Regularization Techniques, Edited by M. Théra and R. Tichatschke, Springer, New York, NY, pp. 99-110, 2000.
    • (2000) Ill-Posed Variational Problems and Regularization Techniques , pp. 99-110
    • Fukushima, M.1    Pang, J.S.2
  • 2
    • 0035603908 scopus 로고    scopus 로고
    • Convergence Properties of a Regularization Scheme for Mathematical Programs with Complementarity Constraints
    • SCHOLTES, S., Convergence Properties of a Regularization Scheme for Mathematical Programs with Complementarity Constraints, SIAM Journal on Optimization, Vol. 11, pp. 918-936, 2001.
    • (2001) SIAM Journal on Optimization , vol.11 , pp. 918-936
    • Scholtes, S.1
  • 4
    • 8644281722 scopus 로고    scopus 로고
    • Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
    • Kluwer Academic Publishers, Dordrecht, Holland
    • OUTRATA, J., KOČVARA, M., and ZOWE, J., Nonsmooth Approach to Optimization Problems with Equilibrium Constraints, Nonconvex Optimization and Its Applications, Kluwer Academic Publishers, Dordrecht, Holland, Vol. 28, 1998.
    • (1998) Nonconvex Optimization and Its Applications , vol.28
    • Outrata, J.1    Kočvara, M.2    Zowe, J.3
  • 5
    • 84863041059 scopus 로고
    • The Nonlinear Bilevel Programming Problem: Formulations, Regularity, and Optimality Conditions
    • CHEN, Y., and FLORIAN, M., The Nonlinear Bilevel Programming Problem: Formulations, Regularity, and Optimality Conditions, Optimization, Vol. 32, pp. 193-209, 1995.
    • (1995) Optimization , vol.32 , pp. 193-209
    • Chen, Y.1    Florian, M.2
  • 6
    • 0031531519 scopus 로고    scopus 로고
    • Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
    • YE, J. J., ZHU, D. L., and ZHU, Q. J., Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems, SIAM Journal on Optimization, Vol. 7, pp. 481-507, 1997.
    • (1997) SIAM Journal on Optimization , vol.7 , pp. 481-507
    • Ye, J.J.1    Zhu, D.L.2    Zhu, Q.J.3
  • 7
    • 0016993914 scopus 로고
    • Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
    • ROBINSON, S. M., Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems, SIAM Journal on Numerical Analysis, Vol. 13, pp. 497-513, 1976.
    • (1976) SIAM Journal on Numerical Analysis , vol.13 , pp. 497-513
    • Robinson, S.M.1
  • 8
    • 0034139059 scopus 로고    scopus 로고
    • Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
    • SCHEEL, H., and SCHOLTES, S., Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity, Mathematics of Operations Research, Vol. 25, pp. 1-22, 2000.
    • (2000) Mathematics of Operations Research , vol.25 , pp. 1-22
    • Scheel, H.1    Scholtes, S.2
  • 9
    • 0032307998 scopus 로고    scopus 로고
    • Nonlinear Programming Approach for a Class of Inverse Problems in Elastoplasticity
    • FERRIS, M. C., and TIN-LOI, F., Nonlinear Programming Approach for a Class of Inverse Problems in Elastoplasticity, Structural Engineering and Mechanics, Vol. 6, pp. 857-870, 1998.
    • (1998) Structural Engineering and Mechanics , vol.6 , pp. 857-870
    • Ferris, M.C.1    Tin-Loi, F.2
  • 10
    • 0032643105 scopus 로고    scopus 로고
    • On the Solution of a Minimum Weight Elastoplastic Problem Involving Displacement and Complementarity Constraints
    • FERRIS, M. C., and TIN-LOI, F., On the Solution of a Minimum Weight Elastoplastic Problem Involving Displacement and Complementarity Constraints, Computer Methods in Applied Mechanics and Engineering, Vol. 174, pp. 107-120, 1999.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.174 , pp. 107-120
    • Ferris, M.C.1    Tin-Loi, F.2
  • 11
    • 0032683705 scopus 로고    scopus 로고
    • On the Numerical Solution of a Class of Unilateral Contact Structural Optimization Problems
    • TIN-LOI, F., On the Numerical Solution of a Class of Unilateral Contact Structural Optimization Problems, Structural Optimization, Vol. 17, pp. 155-161, 1999.
    • (1999) Structural Optimization , vol.17 , pp. 155-161
    • Tin-Loi, F.1
  • 12
    • 0001177047 scopus 로고    scopus 로고
    • On a Class of Parameter Identification Problems
    • Computational Mechanics for the Next Millennium, Edited by C. M. Wang, K. H. Lee and K. K. Ang, Oxford, England
    • TIN-LOI, F., and QUE, N. S., On a Class of Parameter Identification Problems, Computational Mechanics for the Next Millennium, Edited by C. M. Wang, K. H. Lee and K. K. Ang, Proceedings of APCOM 99, Fourth Asia-Pacific Conference on Computational Mechanics, Elsevier Science, Oxford, England, Vol. 1, pp. 311-316, 1999.
    • (1999) Proceedings of APCOM 99, Fourth Asia-Pacific Conference on Computational Mechanics, Elsevier Science , vol.1 , pp. 311-316
    • Tin-Loi, F.1    Que, N.S.2
  • 13
    • 0036576437 scopus 로고    scopus 로고
    • Nonlinear Programming Approaches for an Inverse Problem in Quasibrittle Fracture
    • TIN-LOI, F., and QUE, N. S., Nonlinear Programming Approaches for an Inverse Problem in Quasibrittle Fracture, International Journal of Mechanical Sciences, Vol. 44, pp. 843-858, 2002.
    • (2002) International Journal of Mechanical Sciences , vol.44 , pp. 843-858
    • Tin-Loi, F.1    Que, N.S.2
  • 15
    • 84948263182 scopus 로고
    • A Special Newton-Type Optimization Method
    • FISCHER, A., A Special Newton-Type Optimization Method, Optimization, Vol. 24, pp. 269-284, 1992.
    • (1992) Optimization , vol.24 , pp. 269-284
    • Fischer, A.1
  • 16
    • 0030517292 scopus 로고    scopus 로고
    • Some Noninterior Continuation Methods for Linear Complementarity Problems
    • KANZOW, C., Some Noninterior Continuation Methods for Linear Complementarity Problems, SIAM Journal on Matrix Analysis and Applications, Vol. 17, pp. 851-868, 1996.
    • (1996) SIAM Journal on Matrix Analysis and Applications , vol.17 , pp. 851-868
    • Kanzow, C.1
  • 17
    • 0000425448 scopus 로고    scopus 로고
    • A Smoothing Method for Mathematical Programs with Equilibrium Constraints
    • FACCHINEI, F., JIANG, H., and QI, L., A Smoothing Method for Mathematical Programs with Equilibrium Constraints, Mathematical Programming, Vol. 85, pp. 107-134, 1999.
    • (1999) Mathematical Programming , vol.85 , pp. 107-134
    • Facchinei, F.1    Jiang, H.2    Qi, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.