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Volumn 3743 LNCS, Issue , 2006, Pages 629-637

On the convergence of an inexact primal-dual interior point method for linear programming

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS;

EID: 33745310736     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11666806_72     Document Type: Conference Paper
Times cited : (13)

References (11)
  • 2
    • 33745317808 scopus 로고    scopus 로고
    • Numerical performance of an inexact interior point method
    • R. De Leone et al. (eds), ©1998 Kluwer Academic Publishers, Boston
    • Bellavia,S.: Numerical performance of an inexact interior point method. R. De Leone et al. (eds), High Performance Algorithms and Software in Nonlinear Optimization. ©1998 Kluwer Academic Publishers, Boston. (1998) 43-51.
    • (1998) High Performance Algorithms and Software in Nonlinear Optimization , pp. 43-51
    • Bellavia, S.1
  • 4
    • 0001330894 scopus 로고
    • Globally convergent inexact Newton methods
    • Eisenstat,S.c., and Walker,H.F.: Globally convergent inexact Newton methods, SIAM J. Optimization. 4 (1994) 393-422.
    • (1994) SIAM J. Optimization , vol.4 , pp. 393-422
    • Eisenstat, S.C.1    Walker, H.F.2
  • 5
    • 0033076251 scopus 로고    scopus 로고
    • Convergence of a class of inexact interior point algorithms for linear programs
    • Freund, R.W., Jarre,F., Mizuno,S.: Convergence of a class of inexact interior point algorithms for linear programs. Math of Oper Research. 24 (1999) 50-71.
    • (1999) Math of Oper Research , vol.24 , pp. 50-71
    • Freund, R.W.1    Jarre, F.2    Mizuno, S.3
  • 6
    • 33745304419 scopus 로고
    • Inexact implementation of interior point algorithms for optimal control problems
    • Ito,S.: Inexact implementation of interior point algorithms for optimal control problems. Lecture Notes in Num. Appl. Anal. 14 (1995) 245-248.
    • (1995) Lecture Notes in Num. Appl. Anal. , vol.14 , pp. 245-248
    • Ito, S.1
  • 7
    • 0000356344 scopus 로고
    • Inexact primal-dual interior-point iteration for linear programs in functional spaces
    • Ito,S., Kelley,C.T., and Sachs,E.W.: Inexact primal-dual interior-point iteration for linear programs in functional spaces. Computational Optimization and Applications. 4 (1995) 189-201.
    • (1995) Computational Optimization and Applications , vol.4 , pp. 189-201
    • Ito, S.1    Kelley, C.T.2    Sachs, E.W.3
  • 8
    • 0027667652 scopus 로고
    • A primal-dual infeasible-interior point algorithm for linear programming
    • Kojima,M., Megiddo,N., and Mizuno,S.: A primal-dual infeasible-interior point algorithm for linear programming, Math Programming. 61 (1993) 263-280.
    • (1993) Math Programming , vol.61 , pp. 263-280
    • Kojima, M.1    Megiddo, N.2    Mizuno, S.3
  • 9
    • 0039993745 scopus 로고    scopus 로고
    • Global and polynomial-time convergence of an infeasible interior point algorithm using inexact computation
    • Mizuno,S., and Jarre,F.: Global and polynomial-time convergence of an infeasible interior point algorithm using inexact computation. Mathematical Programming. 84 (1999) 105-122.
    • (1999) Mathematical Programming , vol.84 , pp. 105-122
    • Mizuno, S.1    Jarre, F.2
  • 10
    • 1642635874 scopus 로고    scopus 로고
    • A truncated Newton interior point algorithm for the solution of a multicommodity spatial equilibrium model
    • edited by J.S. Pang and M. Ferris, SIAM
    • Portugal, L., Fernandes,L., and Judice,J.: A truncated Newton interior point algorithm for the solution of a multicommodity spatial equilibrium model. Complementarity and Variational Problems, edited by J.S. Pang and M. Ferris, SIAM. (1997) 315-344.
    • (1997) Complementarity and Variational Problems , pp. 315-344
    • Portugal, L.1    Fernandes, L.2    Judice, J.3
  • 11
    • 0034147823 scopus 로고    scopus 로고
    • A truncated primal-infeasible dual-feasible interior point network flow method
    • Portugal,L.F., Resende,M.G.C., Veiga, G., and Judice, J.: A truncated primal-infeasible dual-feasible interior point network flow method. Networks. 35 (2000) 91-108.
    • (2000) Networks , vol.35 , pp. 91-108
    • Portugal, L.F.1    Resende, M.G.C.2    Veiga, G.3    Judice, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.