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Volumn 24, Issue 1, 2003, Pages 5-35

A study of preconditioners for network interior point methods

Author keywords

Conjugate gradient; Experimental testing of algorithms; Interior point method; Linear programming; Network flows; Preconditioners

Indexed keywords

ALGORITHMS; LINEAR PROGRAMMING; PROBLEM SOLVING;

EID: 0037268379     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021882330897     Document Type: Article
Times cited : (14)

References (27)
  • 1
    • 0001844689 scopus 로고
    • Data structures and programming techniques for the implementation of Karmarkar's algorithm
    • I. Adler, N. Karmarkar, M. Resende, and G. Veiga, "Data structures and programming techniques for the implementation of Karmarkar's algorithm," ORSA Journal on Computing, vol. 1, pp. 84-106, 1989.
    • (1989) ORSA Journal on Computing , vol.1 , pp. 84-106
    • Adler, I.1    Karmarkar, N.2    Resende, M.3    Veiga, G.4
  • 7
    • 0020763823 scopus 로고
    • Truncated-Newton algorithms for large scale unconstrained optimization
    • R.S. Dembo and T. Steihaug, "Truncated-Newton algorithms for large scale unconstrained optimization," Mathematical Programming, vol. 26, pp. 190-212, 1983.
    • (1983) Mathematical Programming , vol.26 , pp. 190-212
    • Dembo, R.S.1    Steihaug, T.2
  • 10
    • 0004236492 scopus 로고
    • The Johns Hopkins University Press: Baltimore, MD
    • G. Golub and C. van Loan, Matrix Computations, The Johns Hopkins University Press: Baltimore, MD, 1989.
    • (1989) Matrix Computations
    • Golub, G.1    Van Loan, C.2
  • 13
    • 0027667652 scopus 로고
    • A primal-dual infeasible-interior-point algorithm for linear programming
    • M. Kojima, N. Megiddo, and S. Mizuno, "A primal-dual infeasible-interior-point algorithm for linear programming," Mathematical Programming, vol. 61, pp. 263-280, 1993.
    • (1993) Mathematical Programming , vol.61 , pp. 263-280
    • Kojima, M.1    Megiddo, N.2    Mizuno, S.3
  • 14
    • 0002431411 scopus 로고
    • An implementation of a primal-dual interior point method for linear programming
    • K. McShane, C. Monma, and D. Shanno, "An implementation of a primal-dual interior point method for linear programming," ORSA Journal on Computing, vol. 1, pp. 70-83, 1989.
    • (1989) ORSA Journal on Computing , vol.1 , pp. 70-83
    • McShane, K.1    Monma, C.2    Shanno, D.3
  • 16
    • 0013128654 scopus 로고    scopus 로고
    • Philadelphia
    • L. Adams and J. Nazareth (Eds.), SIAM, Philadelphia, 1996, pp. 124-142.
    • (1996) SIAM , pp. 124-142
    • Adams, L.1    Nazareth, J.2
  • 17
    • 0003467940 scopus 로고    scopus 로고
    • Global and polynomial time convergence of an infeasible interior point algorithm using inexact computation
    • Institute of Statistical Mathematics, Tokyo, USA
    • S. Mizuno and F. Jarre, "Global and polynomial time convergence of an infeasible interior point algorithm using inexact computation," Research Memorandum 605, Institute of Statistical Mathematics, Tokyo, USA, 1996.
    • (1996) Research Memorandum , vol.605
    • Mizuno, S.1    Jarre, F.2
  • 19
    • 0034147823 scopus 로고    scopus 로고
    • A truncated primal-infeasible dual-feasible interior point network flow method
    • L. Portugal, M. Resende, G. Veiga, and J. Júdice, "A truncated primal-infeasible dual-feasible interior point network flow method," Networks, vol. 35, pp. 91-108, 2000.
    • (2000) Networks , vol.35 , pp. 91-108
    • Portugal, L.1    Resende, M.2    Veiga, G.3    Júdice, J.4
  • 20
    • 0001024483 scopus 로고
    • An efficient implementation of a network interior point method
    • Network Flows and Matching: First DIMACS Implementation Challenge, D.S. Johnson and C.C. McGeoch (Eds.), American Mathematical Society
    • M. Resende and G. Veiga, "An efficient implementation of a network interior point method," in Network Flows and Matching: First DIMACS Implementation Challenge, D.S. Johnson and C.C. McGeoch (Eds.), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 12, American Mathematical Society, pp. 299-348, 1993a.
    • (1993) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.12 , pp. 299-348
    • Resende, M.1    Veiga, G.2
  • 21
    • 0001157796 scopus 로고
    • An implementation of the dual affine scaling algorithm for minimum cost flow on bipartite uncapacitated networks
    • M. Resende and G. Veiga, "An implementation of the dual affine scaling algorithm for minimum cost flow on bipartite uncapacitated networks," SIAM Journal on Optimization, vol. 3, pp. 516-537, 1993b.
    • (1993) SIAM Journal on Optimization , vol.3 , pp. 516-537
    • Resende, M.1    Veiga, G.2
  • 27
    • 0000252459 scopus 로고
    • On the convergenvce of a class of infeasible interior point methods for the horizontal linear complementarity problem
    • Y. Zhang, "On the convergenvce of a class of infeasible interior point methods for the horizontal linear complementarity problem," SIAM Journal on Optimization, vol. 4, pp. 208-227, 1994.
    • (1994) SIAM Journal on Optimization , vol.4 , pp. 208-227
    • Zhang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.