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Volumn 114, Issue 1, 2008, Pages 101-114

A simple polynomial-time rescaling algorithm for solving linear programs

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; LEARNING SYSTEMS; LINEAR PROGRAMMING;

EID: 41149110111     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-007-0095-7     Document Type: Article
Times cited : (61)

References (30)
  • 1
    • 0000026159 scopus 로고
    • The relaxation method for linear inequalities
    • 3
    • Agmon S. (1954). The relaxation method for linear inequalities. Can. J. Math. 6(3): 382-392
    • (1954) Can. J. Math. , vol.6 , pp. 382-392
    • Agmon, S.1
  • 2
    • 4243173687 scopus 로고    scopus 로고
    • Solving convex programs by random walks
    • 4
    • Bertsimas D. and Vempala S. (2004). Solving convex programs by random walks. J. ACM 51(4): 540-556
    • (2004) J. ACM , vol.51 , pp. 540-556
    • Bertsimas, D.1    Vempala, S.2
  • 4
    • 0001926474 scopus 로고    scopus 로고
    • A polynomial-time algorithm for learning noisy linear threshold functions
    • 1
    • Blum A., Frieze A., Kannan R. and Vempala S. (1998). A polynomial-time algorithm for learning noisy linear threshold functions. Algorithmica 22(1): 35-52
    • (1998) Algorithmica , vol.22 , pp. 35-52
    • Blum, A.1    Frieze, A.2    Kannan, R.3    Vempala, S.4
  • 7
    • 0037749334 scopus 로고    scopus 로고
    • A new condition number for linear programming
    • 1
    • Cucker F. and Cheung D. (2001). A new condition number for linear programming. Math. Program. Ser. A 91(1): 163-174
    • (2001) Math. Program. Ser. A , vol.91 , pp. 163-174
    • Cucker, F.1    Cheung, D.2
  • 10
    • 0012259386 scopus 로고    scopus 로고
    • Interior point methods: Current status and future directions
    • Kluwer Dordrecht
    • Freund R.M. and Mizuno S. (2000). Interior point methods: current status and future directions. In: Frenk, H. (eds) High Performance Optimization., pp 441-466. Kluwer, Dordrecht
    • (2000) High Performance Optimization. , pp. 441-466
    • Freund, R.M.1    Mizuno, S.2    Frenk, H.3
  • 11
    • 0000553640 scopus 로고    scopus 로고
    • Some characterizations and properties of the distance to ill-posedness and the condition measure of a conic linear system
    • Freund R.M. and Vera J.R. (1999). Some characterizations and properties of the distance to ill-posedness and the condition measure of a conic linear system. Math. Program. 86: 225-260
    • (1999) Math. Program. , vol.86 , pp. 225-260
    • Freund, R.M.1    Vera, J.R.2
  • 12
    • 0034858470 scopus 로고    scopus 로고
    • A linear lower bound on the unbounded error probabilistic communication complexity
    • Forster, J.: A linear lower bound on the unbounded error probabilistic communication complexity. In: 16th Annual IEEE Conference on Computational Complexity (2001). http:// citeseer.nj.nec.com/forster01linear.html
    • (2001) 16th Annual IEEE Conference on Computational Complexity
    • Forster, J.1
  • 14
    • 0019049551 scopus 로고
    • The relaxation method for solving systems of linear inequalities
    • 3
    • Goffin J.-L. (1980). The relaxation method for solving systems of linear inequalities. Math. Oper. Res. 5(3): 388-414
    • (1980) Math. Oper. Res. , vol.5 , pp. 388-414
    • Goffin, J.-L.1
  • 16
    • 51249181779 scopus 로고
    • A new polynomial-time algorithm for linear programming
    • Karmarkar N. (1984). A new polynomial-time algorithm for linear programming. Combinatorica 4: 373-396
    • (1984) Combinatorica , vol.4 , pp. 373-396
    • Karmarkar, N.1
  • 17
    • 0000564361 scopus 로고
    • A polynomial algorithm in linear programming
    • (in Russian)
    • Khachiyan, L.G.: A polynomial algorithm in linear programming, (in Russian), Doklady Akedamii Nauk SSSR, vol. 244, pp. 1093-1096 (1979)
    • (1979) Doklady Akedamii Nauk SSSR , vol.244 , pp. 1093-1096
    • Khachiyan, L.G.1
  • 18
    • 0018454236 scopus 로고
    • (English translation: Soviet Mathematics Doklady, 20, 191-194 1979)
    • (1979) Soviet Mathematics Doklady , vol.20 , pp. 191-194
  • 20
    • 0000208672 scopus 로고
    • Incorporating condition measures into the complexity theory of linear programming
    • 3
    • Renegar J. (1995). Incorporating condition measures into the complexity theory of linear programming. SIAM J Optim 5(3): 506-524
    • (1995) SIAM J Optim , vol.5 , pp. 506-524
    • Renegar, J.1
  • 23
    • 0036588759 scopus 로고    scopus 로고
    • On PAC learning using perceptron, winnow and a perceptron-like algorithm
    • 5
    • Servedio R. (2002). On PAC learning using perceptron, winnow and a perceptron-like algorithm. SIAM J. Comput. 31(5): 1358-1369
    • (2002) SIAM J. Comput. , vol.31 , pp. 1358-1369
    • Servedio, R.1
  • 25
    • 0002252730 scopus 로고
    • Cut-off method with space extension in convex programming problems
    • Shor N.Z. (1977). Cut-off method with space extension in convex programming problems. Cybernetics 13: 94-96
    • (1977) Cybernetics , vol.13 , pp. 94-96
    • Shor, N.Z.1
  • 26
    • 0004858572 scopus 로고
    • Utilization of the operation of space dilation in the minimization of convex functions
    • Shor, N.Z.: Utilization of the operation of space dilation in the minimization of convex functions. Kibernetika 1, 6-12 (1970)
    • (1970) Kibernetika , vol.1 , pp. 6-12
    • Shor, N.Z.1
  • 27
    • 41149149537 scopus 로고    scopus 로고
    • English translation: Cybernetics, 1, 7-15
    • Cybernetics , vol.1 , pp. 7-15
  • 28
    • 0001536423 scopus 로고    scopus 로고
    • A new algorithm for minimizing convex functions over convex sets
    • Vaidya P.M. (1996). A new algorithm for minimizing convex functions over convex sets. Math Program 73: 291-341
    • (1996) Math Program , vol.73 , pp. 291-341
    • Vaidya, P.M.1
  • 29
    • 0005315140 scopus 로고
    • Evaluation of the information complexity of mathematical programming problems
    • (in Russian)
    • Yudin, D.B., Nemirovski, A.S.: Evaluation of the information complexity of mathematical programming problems (in Russian). Ekonomika i Matematicheskie Metody 12, 128-142, (1976)
    • (1976) Ekonomika i Matematicheskie Metody , vol.12 , pp. 128-142
    • Yudin, D.B.1    Nemirovski, A.S.2
  • 30
    • 4243061036 scopus 로고
    • (English translation: Matekon 13(2), 3-45 1976)
    • (1976) Matekon , vol.13 , Issue.2 , pp. 3-45


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.