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Volumn 10, Issue 2, 1999, Pages 534-550

Understanding the geometry of infeasible perturbations of a conic linear system

Author keywords

Condition number; Conic systems; Convex programming; Distance to infeasibility; Singular values

Indexed keywords


EID: 0039604711     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/s1052623497323674     Document Type: Article
Times cited : (48)

References (8)
  • 1
    • 0031273169 scopus 로고    scopus 로고
    • On the complexity of solving sparse symmetric linear progrmas specified with approximate date
    • S. FILIPOWSKI, On the complexity of solving sparse symmetric linear progrmas specified with approximate date, Math. Oper. Res., 22 (1997), pp. 769-792.
    • (1997) Math. Oper. Res. , vol.22 , pp. 769-792
    • Filipowski, S.1
  • 2
    • 0002822882 scopus 로고    scopus 로고
    • Condition measures and properties of the central trajectory of a linear program
    • R. FREUND AND M. NUNEZ, Condition measures and properties of the central trajectory of a linear program, Math. Programming, 83 (1998), pp. 1-28.
    • (1998) Math. Programming , vol.83 , pp. 1-28
    • Freund, R.1    Nunez, M.2
  • 3
    • 84924315405 scopus 로고    scopus 로고
    • Some characterizations and properties of the "distance to Ill-posedness" and the condition measure of a conic linear system
    • to appear
    • R. FREUND AND J. VERA, Some characterizations and properties of the "Distance to Ill-posedness" and the condition measure of a conic linear system, Math. Programming, to appear.
    • Math. Programming
    • Freund, R.1    Vera, J.2
  • 5
    • 0028426653 scopus 로고
    • Some perturbation theory for linear programming
    • J. RENEGAR, Some perturbation theory for linear programming, Math. Programming, 65 (1994), pp. 73-92.
    • (1994) Math. Programming , vol.65 , pp. 73-92
    • Renegar, J.1
  • 6
    • 0029195774 scopus 로고
    • Linear programming, complexity theory and elementary functional analysis
    • J. RENEGAR, Linear programming, complexity theory and elementary functional analysis, Math. Programming, 70 (1995), pp. 279-351.
    • (1995) Math. Programming , vol.70 , pp. 279-351
    • Renegar, J.1
  • 7
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.