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Volumn 80, Issue 1, 1998, Pages 91-123

On the complexity of linear programming under finite precision arithmetic

Author keywords

Complexity of linear programming; Conditioning; Error analysis; Interior point methods

Indexed keywords


EID: 0002882095     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01582132     Document Type: Article
Times cited : (29)

References (14)
  • 1
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    • Smale, S.1
  • 2
    • 0000208672 scopus 로고
    • Incorporating condition measures into the complexity theory of linear programming
    • J. Renegar, Incorporating Condition Measures into the Complexity Theory of Linear Programming, SIAM Journal on Optimization 5 (3) (1995) 506-524.
    • (1995) SIAM Journal on Optimization , vol.5 , Issue.3 , pp. 506-524
    • Renegar, J.1
  • 4
    • 0030303849 scopus 로고    scopus 로고
    • Ill-posedness and the complexity of deciding existence of solutions to linear programs
    • J. Vera, Ill-Posedness and the complexity of deciding existence of solutions to linear programs, SIAM Journal on Optimization 6 (3) (1996) 549-569.
    • (1996) SIAM Journal on Optimization , vol.6 , Issue.3 , pp. 549-569
    • Vera, J.1
  • 6
    • 0023862337 scopus 로고
    • A polynomial-time algorithm based on Newton's method for linear programming
    • J. Renegar, A polynomial-time algorithm based on Newton's method for linear programming, Mathematical Programming 40 (1988) 59-94.
    • (1988) Mathematical Programming , vol.40 , pp. 59-94
    • Renegar, J.1
  • 7
    • 0003254248 scopus 로고
    • Interior-point polynomial algorithms in convex programming
    • SIAM, Philadelphia, PA
    • Nesterov, Y., A. Nemirovskii, Interior-point polynomial algorithms in convex programming, in: SIAM Studies in Applied Mathematics No. 13, SIAM, Philadelphia, PA, 1994.
    • (1994) SIAM Studies in Applied Mathematics , vol.13
    • Nesterov, Y.1    Nemirovskii, A.2
  • 8
    • 0026850425 scopus 로고
    • On the classical logarithmic barrier function method for a class of smooth convex programming problems
    • D. Den Hertog, C. Roos, T. Terlaky, On the classical logarithmic barrier function method for a class of smooth convex programming problems, Journal of Optimization Theory and Applications 73 (1) (1992) 1-25.
    • (1992) Journal of Optimization Theory and Applications , vol.73 , Issue.1 , pp. 1-25
    • Den Hertog, D.1    Roos, C.2    Terlaky, T.3
  • 9
    • 0003053248 scopus 로고
    • Interior-point methods for convex programming
    • F. Jarre, Interior-point methods for convex programming. Applied Mathematics and Optimization 26 (1992) 287-311.
    • (1992) Applied Mathematics and Optimization , vol.26 , pp. 287-311
    • Jarre, F.1
  • 10
    • 0029195774 scopus 로고
    • Linear programming, complexity theory and elementary functional analysis
    • J. Renegar, Linear programming, complexity theory and elementary functional analysis, Mathematical Programming 70 (3) (1995) 279-351.
    • (1995) Mathematical Programming , vol.70 , Issue.3 , pp. 279-351
    • Renegar, J.1
  • 14
    • 0028426653 scopus 로고
    • Some perturbation theory for linear programming
    • J. Renegar, Some perturbation theory for linear programming, Mathematical Programming 65 (1994) 73-91.
    • (1994) Mathematical Programming , vol.65 , pp. 73-91
    • Renegar, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.