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Volumn 82, Issue 3, 1998, Pages 339-355

A modified layered-step interior-point algorithm for linear programming

Author keywords

Crossover events; Layered step interior point method; Linear programming; Path of centers

Indexed keywords


EID: 0000328359     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01580074     Document Type: Article
Times cited : (28)

References (15)
  • 1
    • 51249181779 scopus 로고
    • A new polynomial-time algorithm for linear programming
    • N. Karmarkar, A new polynomial-time algorithm for linear programming, Combinatorica 4 (1984) 373-395.
    • (1984) Combinatorica , vol.4 , pp. 373-395
    • Karmarkar, N.1
  • 2
    • 30244506467 scopus 로고    scopus 로고
    • A primal-dual accelerated interior point method whose running time depends only on A
    • S. Vavasis, Y. Ye, A primal-dual accelerated interior point method whose running time depends only on A, Mathematical Programming 74 (1996) 79-120.
    • (1996) Mathematical Programming , vol.74 , pp. 79-120
    • Vavasis, S.1    Ye, Y.2
  • 3
    • 0022672734 scopus 로고
    • A strongly polynomial algorithm to solve combinatorial linear programs
    • É. Tardos, A strongly polynomial algorithm to solve combinatorial linear programs, Operations Research 34 (1986) 250-256.
    • (1986) Operations Research , vol.34 , pp. 250-256
    • Tardos, É.1
  • 4
    • 0024665751 scopus 로고
    • A polynomial-time algorithm for a class of linear complementary problems
    • M. Kojima, S. Mizuno, A. Yoshise, A polynomial-time algorithm for a class of linear complementary problems, Mathematical Programming 44 (1989) 1-26.
    • (1989) Mathematical Programming , vol.44 , pp. 1-26
    • Kojima, M.1    Mizuno, S.2    Yoshise, A.3
  • 5
    • 0024665752 scopus 로고
    • Interior path following primal-dual algorithms. Part I: Linear programming
    • R.D.C. Monteiro, I. Adler, Interior path following primal-dual algorithms. Part I: Linear programming, Mathematical Programming 44 (1989) 27-41.
    • (1989) Mathematical Programming , vol.44 , pp. 27-41
    • Monteiro, R.D.C.1    Adler, I.2
  • 6
    • 0000836925 scopus 로고
    • On adaptive-step primal-dual interior-point algorithms for linear programming
    • S. Mizuno, M.J. Todd, Y. Ye, On adaptive-step primal-dual interior-point algorithms for linear programming, Mathematics of Operations Research 18 (1993) 964-981.
    • (1993) Mathematics of Operations Research , vol.18 , pp. 964-981
    • Mizuno, S.1    Todd, M.J.2    Ye, Y.3
  • 8
    • 0000647155 scopus 로고
    • I.I. Dikin's convergence result for the affine-scaling algorithm
    • R.J. Vanderbei, J.C. Lagarias, I.I. Dikin's convergence result for the affine-scaling algorithm, Contemporary Mathematics 114 (1990) 109-119.
    • (1990) Contemporary Mathematics , vol.114 , pp. 109-119
    • Vanderbei, R.J.1    Lagarias, J.C.2
  • 9
    • 0025512866 scopus 로고
    • A Dantzig-Wolfe-like variant of Karmarkar's interior-point linear programming algorithm
    • M.J. Todd, A Dantzig-Wolfe-like variant of Karmarkar's interior-point linear programming algorithm, Operations Research 38 (1990) 1006-1018.
    • (1990) Operations Research , vol.38 , pp. 1006-1018
    • Todd, M.J.1
  • 10
  • 12
    • 16144366417 scopus 로고    scopus 로고
    • A linear programming instance with many crossover events
    • S. Mizuno, N. Megiddo, T. Tsuchiya, A linear programming instance with many crossover events, Journal of Complexity 12 (1996) 474-479.
    • (1996) Journal of Complexity , vol.12 , pp. 474-479
    • Mizuno, S.1    Megiddo, N.2    Tsuchiya, T.3
  • 13
    • 0001329221 scopus 로고
    • Global convergence property of the affine scaling method for primal degenerate linear programming problems
    • T. Tsuchiya, Global convergence property of the affine scaling method for primal degenerate linear programming problems, Mathematics of Operations Research 17 (1992) 527-557.
    • (1992) Mathematics of Operations Research , vol.17 , pp. 527-557
    • Tsuchiya, T.1
  • 14
    • 0001612957 scopus 로고
    • Triangular factors of modified matrices
    • J.M. Bennett, Triangular factors of modified matrices, Numerische Mathematik 7 (1965) 217-221.
    • (1965) Numerische Mathematik , vol.7 , pp. 217-221
    • Bennett, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.