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Volumn 23, Issue 1, 2008, Pages 109-128

Rounding of convex sets and efficient gradient methods for linear programming problems

Author keywords

Complexity bounds; Convex optimization; Fully polynomial approximation schemes; Gradient methods; Nonlinear optimization; Optimal methods; Relative accuracy

Indexed keywords

COMPUTATIONAL COMPLEXITY; GRADIENT METHODS; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING; SET THEORY;

EID: 37549070373     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780701550059     Document Type: Article
Times cited : (23)

References (14)
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    • Khachiyan, L.G.1
  • 7
    • 23744479417 scopus 로고    scopus 로고
    • Minimum volume enclosing ellipsoid and core sets
    • P. Kumar and E.A. Yildirim, Minimum volume enclosing ellipsoid and core sets, J. Optim. Theory Appli. 126(1) (2005), 1-21.
    • (2005) J. Optim. Theory Appli , vol.126 , Issue.1 , pp. 1-21
    • Kumar, P.1    Yildirim, E.A.2
  • 8
    • 67649935308 scopus 로고    scopus 로고
    • Unconstrained convex minimization in relative scale
    • submitted for publication
    • Yu. Nesterov, Unconstrained convex minimization in relative scale. CORE DP 2003/96, Math.Oper. Res. (submitted for publication).
    • CORE DP 2003/96, Math.Oper. Res
    • Nesterov, Y.1
  • 10
    • 17444406259 scopus 로고    scopus 로고
    • Smooth minimization of non-smooth functions
    • _, Smooth minimization of non-smooth functions, Math. Program. (A), 103(1) (2005), 127-152.
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    • Nesterov, Y.1
  • 11
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    • Excessive gap technique in non-smooth convex minimization
    • _, Excessive gap technique in non-smooth convex minimization, SIAM J. Optim. 16(1) (2005), 235-249.
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    • Nesterov, Y.1
  • 13
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    • Fast approximation algorithms for fractional packing and covering problems
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  • 14
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    • M.J. Todd and E.A. Yildirim, On Khachiyan's algorithm for the computation of minimum enclosing ellipsoids, Tech. Rep. TR 1435, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York, USA, 2005. Discrete Applied Mathematics (in press).
    • M.J. Todd and E.A. Yildirim, On Khachiyan's algorithm for the computation of minimum volume enclosing ellipsoids, Tech. Rep. TR 1435, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York, USA, 2005. Discrete Applied Mathematics (in press).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.