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Volumn 29, Issue 3, 1999, Pages 361-377

On parametric semidefinite programming

Author keywords

Optimal partition; Parametric semidefinite programming; Sensitivity analysis

Indexed keywords


EID: 0002049978     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00102-0     Document Type: Article
Times cited : (36)

References (19)
  • 1
    • 0027083586 scopus 로고
    • A geometric view of parametric linear programming
    • I. Adler and R.D.C. Monteiro, A geometric view of parametric linear programming, Algorithmica 8 (1992) 161-176.
    • (1992) Algorithmica , vol.8 , pp. 161-176
    • Adler, I.1    Monteiro, R.D.C.2
  • 2
    • 0031141136 scopus 로고    scopus 로고
    • Complementarity and nondegeneracy in semidefinite programming
    • F. Alizadeh, J.-P.A. Haeberly and M.L. Overton, Complementarity and nondegeneracy in semidefinite programming, Math. Programming 77 (1997) 111-128.
    • (1997) Math. Programming , vol.77 , pp. 111-128
    • Alizadeh, F.1    Haeberly, J.-P.A.2    Overton, M.L.3
  • 4
    • 0039314575 scopus 로고    scopus 로고
    • submitted
    • A.B. Berkelaar, B. Jansen, K. Roos and T. Terlaky, Sensitivity analysis in (degenerate) quadratic programming, Technical Report 96-26, Delft University of Technology (1996); also: Management Sci., submitted.
    • Management Sci.
  • 6
    • 85033836956 scopus 로고    scopus 로고
    • submitted
    • A.B. Berkelaar, B. Jansen, K. Roos and T. Terlaky, Basis- and tripartition identification for quadratic programming and linear complementarity problems. From an interior point solution to an optimal basis and vice versa, Technical Report 96-31, Delft University of Technology (1996); also: Math. Programming, submitted.
    • Math. Programming
  • 7
    • 0033434223 scopus 로고    scopus 로고
    • Second order optimality conditions based on parabolic second order tangent sets
    • to appear
    • J.F. Bonnans, R. Cominetti and A. Shapiro, Second order optimality conditions based on parabolic second order tangent sets, also: SIAM J. Optim., to appear.
    • SIAM J. Optim.
    • Bonnans, J.F.1    Cominetti, R.2    Shapiro, A.3
  • 8
    • 0039906818 scopus 로고    scopus 로고
    • Sensitivity analysis of optimization problems under second order regular constraints
    • J.F. Bonnans, R. Cominetti and A. Shapiro, Sensitivity analysis of optimization problems under second order regular constraints, Rapport de Recherche INRIA 2989 (1996).
    • (1996) Rapport de Recherche INRIA , vol.2989
    • Bonnans, J.F.1    Cominetti, R.2    Shapiro, A.3
  • 9
    • 0009126289 scopus 로고
    • Expansion of exact and approximate solutions in nonlinear programming
    • W. Oettli and D. Pallaschke, eds., Advances in Optimization, Springer, Berlin
    • J.F. Bonnans, A.D. Ioffe and A. Shapiro, Expansion of exact and approximate solutions in nonlinear programming, in: W. Oettli and D. Pallaschke, eds., Advances in Optimization, Lecture Notes in Economics and Mathematical Systems, Vol. 382 (Springer, Berlin, 1992) 103-117.
    • (1992) Lecture Notes in Economics and Mathematical Systems , vol.382 , pp. 103-117
    • Bonnans, J.F.1    Ioffe, A.D.2    Shapiro, A.3
  • 10
    • 0032096712 scopus 로고    scopus 로고
    • Optimization problems with perturbations, a guided tour
    • J.F. Bonnans and A. Shapiro, Optimization problems with perturbations, a guided tour, SIAM Rev. 40 (1998) 228-264.
    • (1998) SIAM Rev. , vol.40 , pp. 228-264
    • Bonnans, J.F.1    Shapiro, A.2
  • 11
    • 0032332553 scopus 로고    scopus 로고
    • Interior point trajectories in semidefinite programming
    • D. Goldfarb and K. Scheinberg, Interior point trajectories in semidefinite programming, SIAM J. Optim. 8 (1998) 871-886.
    • (1998) SIAM J. Optim. , vol.8 , pp. 871-886
    • Goldfarb, D.1    Scheinberg, K.2
  • 12
    • 0001114822 scopus 로고
    • Convergence behavior of some interior point algorithms
    • O. Güler and Y. Ye, Convergence behavior of some interior point algorithms, Math. Programming 60 (1993) 215-228.
    • (1993) Math. Programming , vol.60 , pp. 215-228
    • Güler, O.1    Ye, Y.2
  • 13
    • 0039906815 scopus 로고    scopus 로고
    • ZIB Preprint SC-96-43, Konrad Zuse Zentrum für Informationstechnik Berlin, Dahlem, Germany
    • C. Helmberg, Fixing variables in semidefinite relaxations, ZIB Preprint SC-96-43, Konrad Zuse Zentrum für Informationstechnik Berlin, Dahlem, Germany (1996).
    • (1996) Fixing Variables in Semidefinite Relaxations
    • Helmberg, C.1
  • 14
    • 0039314509 scopus 로고
    • An interior point method approach to postoptimal and parametric analysis in linear programming
    • Budapest, Hungary, January
    • B. Jansen, K. Roos and T. Terlaky, An interior point method approach to postoptimal and parametric analysis in linear programming, in: Proceedings of the Workshop Interior Point Methods, Budapest, Hungary, January 1993.
    • (1993) Proceedings of the Workshop Interior Point Methods
    • Jansen, B.1    Roos, K.2    Terlaky, T.3
  • 17
    • 0031139858 scopus 로고    scopus 로고
    • First and second order analysis of nonlinear semidefinite programs
    • A. Shapiro, First and second order analysis of nonlinear semidefinite programs, Math. Programming, Ser. B 11 (1997) 301-320.
    • (1997) Math. Programming, Ser. B , vol.11 , pp. 301-320
    • Shapiro, A.1
  • 18
    • 0039906817 scopus 로고    scopus 로고
    • Private communication
    • L. Vandenberghe, Private communication.
    • Vandenberghe, L.1
  • 19
    • 0030106462 scopus 로고
    • Semidefinite programming
    • L. Vandenberghe and S. Boyd, Semidefinite programming, SIAM Rev. 38 (1995) 49-95.
    • (1995) SIAM Rev. , vol.38 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.