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Volumn 24, Issue 1, 1999, Pages 193-203

Ellipsoidal approximations of convex sets based on the volumetric barrier

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; MATRIX ALGEBRA; SET THEORY;

EID: 0033076321     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.24.1.193     Document Type: Article
Times cited : (16)

References (16)
  • 1
    • 21344453460 scopus 로고    scopus 로고
    • Large step volumetric potential reduction algorithms for linear programming
    • Anstreicher, K. M. 1996. Large step volumetric potential reduction algorithms for linear programming. Ann. Oper. Res. 62 521-538.
    • (1996) Ann. Oper. Res. , vol.62 , pp. 521-538
    • Anstreicher, K.M.1
  • 2
    • 0039662580 scopus 로고    scopus 로고
    • Volumetric path following algorithms for linear programming
    • _. 1997a. Volumetric path following algorithms for linear programming. Math. Programming 76 245-263.
    • (1997) Math. Programming , vol.76 , pp. 245-263
  • 3
    • 0031071780 scopus 로고    scopus 로고
    • On Vaidya's volumetric cutting plane method for convex programming
    • _. 1997b. On Vaidya's volumetric cutting plane method for convex programming. Math. Oper. Res. 22 63-89.
    • (1997) Math. Oper. Res. , vol.22 , pp. 63-89
  • 4
    • 0032243583 scopus 로고    scopus 로고
    • Towards a practical volumetric cutting plane method for convex programming
    • _. 1999. Towards a practical volumetric cutting plane method for convex programming. SIAM J. Optim. 9 190-206.
    • (1999) SIAM J. Optim. , vol.9 , pp. 190-206
  • 5
    • 0021504071 scopus 로고
    • Variable metric relaxation algorithms, Part II: The ellipsoid method
    • Goffin, J.-L. 1984. Variable metric relaxation algorithms, Part II: The ellipsoid method. Math. Programming 30 147-162.
    • (1984) Math. Programming , vol.30 , pp. 147-162
    • Goffin, J.-L.1
  • 9
    • 0030134435 scopus 로고    scopus 로고
    • Rounding of polytopes in the real number model of computation
    • Khachiyan, L. G. 1996. Rounding of polytopes in the real number model of computation. Math. Oper. Res. 21 307-320.
    • (1996) Math. Oper. Res. , vol.21 , pp. 307-320
    • Khachiyan, L.G.1
  • 10
    • 0042778011 scopus 로고
    • On the complexity of approximating the maximum inscribed ellipsoid for a polytope
    • _, M. J. Todd. 1993. On the complexity of approximating the maximum inscribed ellipsoid for a polytope. Math. Programming 61 137-159.
    • (1993) Math. Programming , vol.61 , pp. 137-159
    • Todd, M.J.1
  • 11
    • 0344432786 scopus 로고
    • Constructive approximation of a ball by polytopes
    • Kochol, M. 1994. Constructive approximation of a ball by polytopes. Math. Slovaca 44 99-105.
    • (1994) Math. Slovaca , vol.44 , pp. 99-105
    • Kochol, M.1
  • 14
    • 0023862337 scopus 로고
    • A polynomial-time algorithm, based on Newton's method, for linear programming
    • Renegar, J. 1988. A polynomial-time algorithm, based on Newton's method, for linear programming. Math. Programming 40 59-93.
    • (1988) Math. Programming , vol.40 , pp. 59-93
    • Renegar, J.1
  • 16
    • 0001536423 scopus 로고    scopus 로고
    • A new algorithm for minimizing convex functions over convex sets
    • Vaidya, P. M. 1996. A new algorithm for minimizing convex functions over convex sets. Math. Programming 73 291-341.
    • (1996) Math. Programming , vol.73 , pp. 291-341
    • Vaidya, P.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.