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Volumn 114, Issue 1, 2002, Pages 55-67

Probabilistic analysis of condition numbers for linear programming

Author keywords

condition numbers; linear programming; probabilistic analysis of algorithms

Indexed keywords

C (PROGRAMMING LANGUAGE); NUMBER THEORY;

EID: 0036262238     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015460004163     Document Type: Article
Times cited : (15)

References (14)
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  • 2
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  • 3
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    • Renegar, J.1
  • 4
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  • 5
    • 0033261317 scopus 로고    scopus 로고
    • Condition-Based Complexity of Convex Optimization in a Conic Linear Form via the Ellipsoid Algorithm
    • FREUND, R., and VERA, J., Condition-Based Complexity of Convex Optimization in a Conic Linear Form via the Ellipsoid Algorithm, SIAM Journal on Optimization, Vol. 10, pp. 155-176, 1999.
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    • Freund, R.1    Vera, J.2
  • 6
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    • Some Characterizations and Properties of the Distance to Ill-Posedness and the Condition Measure of a Conic Linear System
    • FREUND, R., and VERA, J., Some Characterizations and Properties of the Distance to Ill-Posedness and the Condition Measure of a Conic Linear System, Mathematical Programming, Vol. 86, pp. 225-260, 1999.
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  • 7
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    • On the Complexity of Linear Programming under Finite Precision Arithmetic
    • VERA, J., On the Complexity of Linear Programming under Finite Precision Arithmetic, Mathematical Programming, Vol. 80, pp. 91-123, 1998.
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    • Vera, J.1
  • 8
    • 0036013028 scopus 로고    scopus 로고
    • A Primal-Dual Algorithm for Solving Polyhedral Conic Systems with a Finite-Precision Machine
    • CUCKER, F., and PEÑA, J., A Primal-Dual Algorithm for Solving Polyhedral Conic Systems with a Finite-Precision Machine, SIAM Journal of Optimization, Vol. 12, pp. 522-554, 2002.
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    • Cucker, F.1    Peña, J.2
  • 9
    • 0002953043 scopus 로고
    • Toward Probabilistic Analysis of Interior-Point Algorithms for Linear Programming
    • YE, Y., Toward Probabilistic Analysis of Interior-Point Algorithms for Linear Programming, Mathematics of Operations Research, Vol. 19, pp. 38-52, 1994.
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  • 10
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  • 11
    • 30244506467 scopus 로고    scopus 로고
    • A Primal-Dual Interior-Point Method whose Running Time Depends on only the Constraint Matrix
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  • 12
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    • Characterizations, Bounds, and Probabilistic Analysis of Two Complexity Measures for Linear Programming Problems
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.