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Volumn 6, Issue 1, 1996, Pages 57-73

On the relationship between the curvature integral and the complexity of path-following methods in linear programming

Author keywords

Bounds of derivatives; Central trajectory (path); Complexity; Curvature integral; Derivatives; Linear programming; Path following methods

Indexed keywords


EID: 0030304770     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/0806005     Document Type: Article
Times cited : (8)

References (15)
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  • 2
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    • Riemannian geometry underlying interior-point methods for linear programming
    • Mathematical Developments Arising from Linear Programming, J. C. Lagarias and M. Todd, eds., American Mathematical Society, Providence, RI
    • _, Riemannian geometry underlying interior-point methods for linear programming, in Mathematical Developments Arising from Linear Programming, J. C. Lagarias and M. Todd, eds., Contemporary Mathematics, Vol. 114, American Mathematical Society, Providence, RI, 1990, pp. 51-76.
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  • 6
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    • A unified approach to interior point algorithms for linear complementarity problems
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    • M. KOJIMA, N. MEGIDDO, T. NOMA, AND A. YOSHISE, A unified approach to interior point algorithms for linear complementarity problems, Research report RJ 7493 (70008), IBM Almaden Research Division, San Jose, CA, 1990.
    • (1990) Research Report RJ 7493 (70008)
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  • 8
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  • 10
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    • An analytic center for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming
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    • (1985) Lecture Notes in Control and Information Sciences , vol.84 , pp. 866-876
    • Sonnevend, G.1
  • 11
    • 34249921867 scopus 로고
    • On the complexity of following the central path of linear programs by linear extrapolation II
    • G. SONNEVEND, J. STOER, AND G. ZHAO, On the complexity of following the central path of linear programs by linear extrapolation II, Math. Programming, 52 (1991), pp. 527-553.
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    • Sonnevend, G.1    Stoer, J.2    Zhao, G.3
  • 12
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  • 13
    • 0000691069 scopus 로고
    • On the convergence behavior of trajectories for linear programming
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    • C. WITZGALL, P. T. BOGGS, AND P. D. DOMICH, On the convergence behavior of trajectories for linear programming, in Mathematical Developments Arising from Linear Programming Algorithms, J. C. Lagarias and M. J. Todd, eds., Contemporary Mathematics, Vol. 114, American Mathematical Society, Providence, RI, 1991, pp. 161-187.
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  • 15
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    • Zhao, G.1    Stoer, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.