메뉴 건너뛰기




Volumn 7, Issue 2, 1997, Pages 403-420

Smooth approximations to nonlinear complementarity problems

Author keywords

Continuation method; Error bound; Nonlinear complementarity problem; Smooth approximation

Indexed keywords


EID: 0031493118     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623495280615     Document Type: Article
Times cited : (135)

References (15)
  • 1
    • 21344485287 scopus 로고
    • A noninterior point continuation method for linear complementarity problems
    • B. CHEN AND P. T. HARKER, A noninterior point continuation method for linear complementarity problems, SIAM J. Matrix Anal. Appl., 20 (1993), pp. 1168-1190.
    • (1993) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 1168-1190
    • Chen, B.1    Harker, P.T.2
  • 2
    • 0029206129 scopus 로고
    • Smoothing methods for convex inequalities and linear complementarity problems
    • C. CHEN AND O. L MANGASARIAN, Smoothing Methods for Convex Inequalities and Linear Complementarity Problems, Math. Programming, 71 (1995), pp. 51-69.
    • (1995) Math. Programming , vol.71 , pp. 51-69
    • Chen, C.1    Mangasarian, O.L.2
  • 3
    • 0030104686 scopus 로고    scopus 로고
    • A class of smoothing function for nonlinear and mixed complementarity problems
    • C. CHEN AND O. L. MANGASARIAN, A Class of Smoothing Function for Nonlinear and Mixed Complementarity Problems, Comput. Optim. Appl., 5 (1996), pp. 97-138.
    • (1996) Comput. Optim. Appl. , vol.5 , pp. 97-138
    • Chen, C.1    Mangasarian, O.L.2
  • 4
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • P. T. HARKER AND J. S. PANG, Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications, Math. Programming, 48 (1990), pp. 161-220.
    • (1990) Math. Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 5
    • 0030517292 scopus 로고    scopus 로고
    • Some noninterior continuation methods for linear complementarity problems
    • C. KANZOW, Some noninterior continuation methods for linear complementarity problems, SIAM J. Matrix Anal. Appl., 17 (1996), pp. 851-868.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 851-868
    • Kanzow, C.1
  • 7
    • 0001217295 scopus 로고
    • Homotopy continuation method for nonlinear complementarity problems
    • M. KOJIMA, S. MIZUNO, AND T. NOMA, Homotopy continuation method for nonlinear complementarity problems, Math. Oper. Res., 16 (1991), pp. 754-774.
    • (1991) Math. Oper. Res. , vol.16 , pp. 754-774
    • Kojima, M.1    Mizuno, S.2    Noma, T.3
  • 8
    • 38249017301 scopus 로고
    • Error bounds for the linear complementarity problem with P-matrix
    • R. MATHIAS AND J. S. PANG, Error bounds for the linear complementarity problem with P-matrix, Linear Algebra Appl., 132 (1990), pp. 123-136.
    • (1990) Linear Algebra Appl. , vol.132 , pp. 123-136
    • Mathias, R.1    Pang, J.S.2
  • 10
    • 0030536279 scopus 로고    scopus 로고
    • Growth behavior of a class of merit functions for the nonlinear complementarity problem
    • P. TSENG, Growth behavior of a class of merit functions for the nonlinear complementarity problem, J. Optim. Theory Appl., 89 (1996), pp. 446-460.
    • (1996) J. Optim. Theory Appl. , vol.89 , pp. 446-460
    • Tseng, P.1
  • 11
    • 0031533899 scopus 로고    scopus 로고
    • An infeasible path-following method for monotone complementarity problem
    • P. TSENG, An infeasible path-following method for monotone complementarity problem, SIAM J. Optim., 7 (1997), pp. 386-402.
    • (1997) Siam J. Optim. , vol.7 , pp. 386-402
    • Tseng, P.1
  • 12
    • 0001170028 scopus 로고
    • A posterior error bounds for the linearly-constrained variational inequality problem
    • J. S. PANG, A posterior error bounds for the linearly-constrained variational inequality problem, Math. Oper. Res., 12 (1987), pp. 474-484.
    • (1987) Math. Oper. Res. , vol.12 , pp. 474-484
    • Pang, J.S.1
  • 13
    • 0003000071 scopus 로고
    • Complementarity problems
    • R. Horst and P. Pardalos, eds., Kluwer Academic Publishers, Norwell, MA
    • J. S. PANG, Complementarity Problems, in Handbook on Global Optimization, R. Horst and P. Pardalos, eds., Kluwer Academic Publishers, Norwell, MA, 1994.
    • (1994) Handbook on Global Optimization
    • Pang, J.S.1
  • 14
    • 0040436947 scopus 로고
    • Technical report 1173, Computer Science Department, University of Wisconsin, Madison, WI
    • J. REN, Computable Error Bounds in Mathematical Programming, Technical report 1173, Computer Science Department, University of Wisconsin, Madison, WI, 1993.
    • (1993) Computable Error Bounds in Mathematical Programming
    • Ren, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.