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Volumn 76, Issue 1, 1997, Pages 211-221

On homogeneous and self-dual algorithms for LCP

Author keywords

Homogeneous and self dual model; Infeasible starting algorithm; Linear complementarity problem

Indexed keywords


EID: 0007554566     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02614384     Document Type: Article
Times cited : (36)

References (13)
  • 3
    • 0026171528 scopus 로고
    • An O(√nL) iteration potential reduction algorithm for linear complementarity problems
    • M. Kojima, S. Mizuno, and A. Yoshise, "An O(√nL) iteration potential reduction algorithm for linear complementarity problems," Mathematical Programming 50 (1991) 331-342.
    • (1991) Mathematical Programming , vol.50 , pp. 331-342
    • Kojima, M.1    Mizuno, S.2    Yoshise, A.3
  • 4
    • 0001114822 scopus 로고
    • Convergence behavior of interior-point algorithms
    • O. Güler and Y. Ye, "Convergence behavior of interior-point algorithms," Mathematical Programming 60 (1993) 215-228.
    • (1993) Mathematical Programming , vol.60 , pp. 215-228
    • Güler, O.1    Ye, Y.2
  • 5
    • 0003095772 scopus 로고
    • Error bound and convergence analysis of matrix splitting algorithms for the affine variational inequality problem
    • Z. Luo and P. Tseng, "Error bound and convergence analysis of matrix splitting algorithms for the affine variational inequality problem," SIAM Journal on Control and Optimization 2 (1992) 43-54.
    • (1992) SIAM Journal on Control and Optimization , vol.2 , pp. 43-54
    • Luo, Z.1    Tseng, P.2
  • 6
    • 0022793236 scopus 로고
    • Error bounds for monotone linear complementarity problems
    • O.L. Mangasarian and T.-H. Shiau, "Error bounds for monotone linear complementarity problems," Mathematical Programming 36 (1986) 81-89.
    • (1986) Mathematical Programming , vol.36 , pp. 81-89
    • Mangasarian, O.L.1    Shiau, T.-H.2
  • 7
    • 0030150291 scopus 로고    scopus 로고
    • A unified approach to infeasible-interior-point algorithms via geometrical linear complementarity problems
    • S. Mizuno, F. Jarre, and J. Stoer, "A unified approach to infeasible-interior-point algorithms via geometrical linear complementarity problems," Applied Mathematics and Optimization 33 (1996) 315-341.
    • (1996) Applied Mathematics and Optimization , vol.33 , pp. 315-341
    • Mizuno, S.1    Jarre, F.2    Stoer, J.3
  • 8
    • 0028436629 scopus 로고
    • Local convergence of interior-point algorithms for degenerate monotone LCP
    • R.D.C. Monteiro and S. Wright, "Local convergence of interior-point algorithms for degenerate monotone LCP," Computational Optimization and Applications 3 (1994) 131-155.
    • (1994) Computational Optimization and Applications , vol.3 , pp. 131-155
    • Monteiro, R.D.C.1    Wright, S.2
  • 9
    • 0028713181 scopus 로고
    • A quadratically convergent predictor-corrector method for solving linear programs from infeasible starting points
    • F.A. Potra, "A quadratically convergent predictor-corrector method for solving linear programs from infeasible starting points," Mathematical Programming 67 (1994) 383-406.
    • (1994) Mathematical Programming , vol.67 , pp. 383-406
    • Potra, F.A.1
  • 10
    • 0028426653 scopus 로고
    • Some perturbation theory for linear programming
    • J. Renegar, "Some perturbation theory for linear programming," Mathematical Programming 65 (1994) 73-92.
    • (1994) Mathematical Programming , vol.65 , pp. 73-92
    • Renegar, J.1
  • 12
    • 0003058678 scopus 로고
    • An O(√nL)-iteration homogeneous and self-dual linear programming algorithm
    • Y. Ye, M.J. Todd, and S. Mizuno, "An O(√nL)-iteration homogeneous and self-dual linear programming algorithm," Mathematics of Operations Research 19 (1994) 52-67.
    • (1994) Mathematics of Operations Research , vol.19 , pp. 52-67
    • Ye, Y.1    Todd, M.J.2    Mizuno, S.3
  • 13
    • 21344457406 scopus 로고    scopus 로고
    • A simplified homogeneous and self-dual linear programming algorithm and its implementation
    • X. Xu, P.-F. Hung, and Y. Ye, "A simplified homogeneous and self-dual linear programming algorithm and its implementation," Annals of Operations Research 62 (1996) 151-172.
    • (1996) Annals of Operations Research , vol.62 , pp. 151-172
    • Xu, X.1    Hung, P.-F.2    Ye, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.