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Volumn 52, Issue 5, 2004, Pages 690-706

Computation of minimum-volume covering ellipsoids

Author keywords

Data analysis; Mathematics: convexity; Large scale systems; statistics: cluster analysis; Matrices; Nonlinear: algorithms; Programming

Indexed keywords

ACTIVE-SET METHOD; CLUSTER ANALYSIS; CONVEXITY; INTERIOR-POINT METHODS;

EID: 8344259908     PISSN: 0030364X     EISSN: None     Source Type: Journal    
DOI: 10.1287/opre.1040.0115     Document Type: Article
Times cited : (155)

References (19)
  • 1
    • 0020207939 scopus 로고
    • An algorithm for separating patterns by ellipsoids
    • Barnes, E. 1982. An algorithm for separating patterns by ellipsoids. IBM J. Res. Develop. 26(6) 759-764.
    • (1982) IBM J. Res. Develop. , vol.26 , Issue.6 , pp. 759-764
    • Barnes, E.1
  • 3
    • 0141457189 scopus 로고    scopus 로고
    • Location adjustment for the minimum volume ellipsoid estimator
    • Croux, C., G. Haesbroeck, P. J. Rousseeuw. 2002. Location adjustment for the minimum volume ellipsoid estimator. Statist. Comput. 12(3) 191-200.
    • (2002) Statist. Comput. , vol.12 , Issue.3 , pp. 191-200
    • Croux, C.1    Haesbroeck, G.2    Rousseeuw, P.J.3
  • 7
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge, U.K
    • Horn, R., C. Johnson. 1985. Matrix Analysis. Cambridge University Press, Cambridge, U.K.
    • (1985) Matrix Analysis
    • Horn, R.1    Johnson, C.2
  • 9
    • 0030134435 scopus 로고    scopus 로고
    • Rounding of polytopes in the real number model of computation
    • Khachiyan, L. 1996. Rounding of polytopes in the real number model of computation. Math. Oper. Res. 21(2) 307-320.
    • (1996) Math. Oper. Res. , vol.21 , Issue.2 , pp. 307-320
    • Khachiyan, L.1
  • 10
    • 0042778011 scopus 로고
    • On the complexity of approximating the maximal inscribed ellipsoid for a polytope
    • Khachiyan, L., M. Todd. 1993. On the complexity of approximating the maximal inscribed ellipsoid for a polytope. Math. Programming 61 137-159.
    • (1993) Math. Programming , vol.61 , pp. 137-159
    • Khachiyan, L.1    Todd, M.2
  • 14
    • 0032595819 scopus 로고    scopus 로고
    • Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities
    • Toh, K. 1999. Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities. Computational Optim. Appl. 14 309-330.
    • (1999) Computational Optim. Appl. , vol.14 , pp. 309-330
    • Toh, K.1
  • 15
    • 0033295027 scopus 로고    scopus 로고
    • Sdpt3-A Matlab software package for semidefinite programming
    • Toh, K., M. Todd, R. Tütüncü. 1999. Sdpt3-A Matlab software package for semidefinite programming. Optim. Methods Software 11 545-581.
    • (1999) Optim. Methods Software , vol.11 , pp. 545-581
    • Toh, K.1    Todd, M.2    Tütüncü, R.3
  • 16
    • 3142743708 scopus 로고    scopus 로고
    • Solving semidefinite-quadratic-linear programs using SDPT-3
    • Tütüncü, R., K. Toh, M. Todd. 2003. Solving semidefinite-quadratic-linear programs using SDPT-3. Math. Programming 95(2) 189-217.
    • (2003) Math. Programming , vol.95 , Issue.2 , pp. 189-217
    • Tütüncü, R.1    Toh, K.2    Todd, M.3
  • 17
    • 0032397913 scopus 로고    scopus 로고
    • Determinant maximization with linear matrix inequality constraints
    • Vandenberghe, L., S. Boyd, S. Wu. 1998. Determinant maximization with linear matrix inequality constraints. SIAM J. Matrix Anal. Appl. 19(2) 499-533.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , Issue.2 , pp. 499-533
    • Vandenberghe, L.1    Boyd, S.2    Wu, S.3
  • 18
    • 0038664652 scopus 로고    scopus 로고
    • An interior-point algorithm for the maximum-volume ellipsoid problem
    • Department of Computational and Applied Mathematics, Rice University, Houston, TX
    • Zhang, Y. 1998. An interior-point algorithm for the maximum-volume ellipsoid problem. Technical report TR98-15, Department of Computational and Applied Mathematics, Rice University, Houston, TX.
    • (1998) Technical Report , vol.TR98-15
    • Zhang, Y.1
  • 19
    • 1542291028 scopus 로고    scopus 로고
    • On numerical solution of the maximum volume ellipsoid problem
    • Zhang, Y., L. Gao. 2003. On numerical solution of the maximum volume ellipsoid problem. SIAM J. Optim. 14(1) 53-76.
    • (2003) SIAM J. Optim. , vol.14 , Issue.1 , pp. 53-76
    • Zhang, Y.1    Gao, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.