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Volumn 13, Issue 2, 2003, Pages 309-320

Improved complexity for maximum volume inscribed ellipsoids

Author keywords

Inscribed ellipsoid method; Maximum volume inscribed ellipsoid

Indexed keywords


EID: 0037797240     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623401390902     Document Type: Article
Times cited : (14)

References (17)
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    • Anstreicher, K.M.1
  • 2
    • 0033076321 scopus 로고    scopus 로고
    • Ellipsoidal approximations of convex sets based on the volumetric barrier
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    • (1999) Math. Oper. Res. , vol.24 , pp. 193-203
    • Anstreicher, K.M.1
  • 8
    • 0030134435 scopus 로고    scopus 로고
    • Hounding of polytopes in the real number model of computation
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    • (1996) Math. Oper. Res. , vol.21 , pp. 307-320
    • Khachiyan, L.G.1
  • 9
    • 0042778011 scopus 로고
    • On the complexity of approximating the maximal volume inscribed ellipsoid for a polytope
    • L.G. KHACHIYAN AND M.J. TODD, On the complexity of approximating the maximal volume inscribed ellipsoid for a polytope, Math. Programming, 61 (1993), pp. 137-159.
    • (1993) Math. Programming , vol.61 , pp. 137-159
    • Khachiyan, L.G.1    Todd, M.J.2
  • 10
    • 0020845921 scopus 로고
    • Integer programming with a fixed number of variables
    • H.W. LENSTRA, JR., Integer programming with a fixed number of variables, Math. Oper. Res., 8 (1983), pp. 538-548.
    • (1983) Math. Oper. Res. , vol.8 , pp. 538-548
    • Lenstra H.W., Jr.1
  • 11
  • 12
    • 0003254248 scopus 로고
    • Interior-point polynomial algorithms in convex programming
    • Siam, Philadelphia
    • Y. NESTEROV AND A. NEMIROVSKII, Interior-Point Polynomial Algorithms in Convex Programming, SIAM Stud. Appl. Math. 13, SIAM, Philadelphia, 1994.
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    • Nesterov, Y.1    Nemirovskii, A.2
  • 15
    • 0001536423 scopus 로고    scopus 로고
    • A new algorithm for minimizing convex functions over convex sets
    • P.M. VAIDYA, A new algorithm for minimizing convex functions over convex sets, Math. Programming, 73 (1996), pp. 291-341.
    • (1996) Math. Programming , vol.73 , pp. 291-341
    • Vaidya, P.M.1
  • 16
    • 0038664652 scopus 로고    scopus 로고
    • Technical report TR98-15, Center for Computational and Applied Mathematics, Rice University, Houston, TX
    • Y. ZHANG, An Interior-Point Algorithm for the Maximum-Volume Ellipsoid Problem, Technical report TR98-15, Center for Computational and Applied Mathematics, Rice University, Houston, TX, 1998.
    • (1998) An Interior-Point Algorithm for the Maximum-Volume Ellipsoid Problem
    • Zhang, Y.1
  • 17
    • 0037988225 scopus 로고    scopus 로고
    • Technical report TR01-15, Center for Computational and Applied Mathematics, Rice University, Houston, TX
    • Y. ZHANC AND L. GAO, On Numerical Solution of the Maximum Volume Ellipsoid Problem, Technical report TR01-15, Center for Computational and Applied Mathematics, Rice University, Houston, TX, 2001.
    • (2001) On Numerical Solution of the Maximum Volume Ellipsoid Problem
    • Zhanc, Y.1    Gao, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.