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Volumn 22, Issue 2, 2007, Pages 329-338

A descent method for structured monotone variational inequalities

Author keywords

Alternating directions method; Descent method; Monotone variational inequalities

Indexed keywords

COMPUTER SOFTWARE; FUNCTION EVALUATION; OPTIMAL SYSTEMS; PROBLEM SOLVING; STRUCTURED PROGRAMMING; VARIATIONAL TECHNIQUES;

EID: 33847301426     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780600552693     Document Type: Article
Times cited : (55)

References (16)
  • 1
    • 0035351666 scopus 로고    scopus 로고
    • A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces
    • Bauschke, H.H. and Combettes, P.L., 2001, A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces. Mathematics of Operations Research, 26(2), 248-264.
    • (2001) Mathematics of Operations Research , vol.26 , Issue.2 , pp. 248-264
    • Bauschke, H.H.1    Combettes, P.L.2
  • 2
    • 0002472542 scopus 로고
    • A proximal-based decomposition method for convex minimization problem
    • Chen, G. and Teboulle, M., 1994, A proximal-based decomposition method for convex minimization problem. Mathematical Programming, 64, 81-101.
    • (1994) Mathematical Programming , vol.64 , pp. 81-101
    • Chen, G.1    Teboulle, M.2
  • 3
    • 0027113845 scopus 로고
    • On the Douglas-Rachford splitting method and the proximal points algorithm for maximal monotone operators
    • Eckstein, J. and Bertsekas, D.P., 1992, On the Douglas-Rachford splitting method and the proximal points algorithm for maximal monotone operators. Mathematical Programming, 55, 293-318.
    • (1992) Mathematical Programming , vol.55 , pp. 293-318
    • Eckstein, J.1    Bertsekas, D.P.2
  • 4
    • 0000557888 scopus 로고
    • Some reformulation and applications of the alternating direction method of multipliers
    • W.W. Hager et al, Eds, Dordrecht: Kluwer Academic Publishers, pp
    • Eckstein, J. and Fukushima, M., 1994, Some reformulation and applications of the alternating direction method of multipliers. In: W.W. Hager et al. (Eds) Large Scale Optimization: State of the Art (Dordrecht: Kluwer Academic Publishers), pp. 115-134.
    • (1994) Large Scale Optimization: State of the Art , pp. 115-134
    • Eckstein, J.1    Fukushima, M.2
  • 6
    • 0002788352 scopus 로고
    • Application of the alternating direction method of multipliers to separable convex programming problems
    • Fukushima, M., 1992, Application of the alternating direction method of multipliers to separable convex programming problems. Computational Optimization and Applications, 1, 93-111.
    • (1992) Computational Optimization and Applications , vol.1 , pp. 93-111
    • Fukushima, M.1
  • 7
    • 0002211517 scopus 로고
    • A dual algorithm for the solution of nonlinear variational problems via finite-element approximations
    • Gabay, D. and Mercier, B., 1976, A dual algorithm for the solution of nonlinear variational problems via finite-element approximations. Computers and Mathematics with Applications, 2, 17-40.
    • (1976) Computers and Mathematics with Applications , vol.2 , pp. 17-40
    • Gabay, D.1    Mercier, B.2
  • 8
    • 77957064934 scopus 로고
    • Applications of the method of multipliers to variational inequalities
    • M. Fortin and R. Glowinski Eds, Amsterdam: North Holland, pp
    • Gabay, D., 1983, Applications of the method of multipliers to variational inequalities. In: M. Fortin and R. Glowinski (Eds) Augmented Lagrange Methods: Applications to the Solution of Boundary-valued Problems (Amsterdam: North Holland), pp. 299-331.
    • (1983) Augmented Lagrange Methods: Applications to the Solution of Boundary-valued Problems , pp. 299-331
    • Gabay, D.1
  • 10
    • 0003200255 scopus 로고
    • Augmented Lagrangian and operator-splitting methods in nonlinear mechanics
    • Philadelphia: PA
    • Glowinski, R. and Le Tallec, P., 1989, Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. SIAM Studies in Applied Mathematics (Philadelphia: PA).
    • (1989) SIAM Studies in Applied Mathematics
    • Glowinski, R.1    Le Tallec, P.2
  • 11
    • 0242462717 scopus 로고    scopus 로고
    • A new inexact alternating directions method for monotone variational inequalities
    • He, B.S, Liao, L.Z., Han, D.R. and Yang, H., 2002, A new inexact alternating directions method for monotone variational inequalities. Mathematical Programming, 92, 103-118.
    • (2002) Mathematical Programming , vol.92 , pp. 103-118
    • He, B.S.1    Liao, L.Z.2    Han, D.R.3    Yang, H.4
  • 12
    • 0032178315 scopus 로고    scopus 로고
    • Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities
    • He, B.S. and Yang, H, 1998, Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities. Operations Research Letters, 23, 151-161.
    • (1998) Operations Research Letters , vol.23 , pp. 151-161
    • He, B.S.1    Yang, H.2
  • 13
    • 0034239566 scopus 로고    scopus 로고
    • Alternating directions method with self-adaptive parameter for monotone variational inequalities
    • He, B.S., Yang, H. and Wang, S.L., 2000, Alternating directions method with self-adaptive parameter for monotone variational inequalities. Journal of Optimization. Theory and Applications, 106, 349-368.
    • (2000) Journal of Optimization. Theory and Applications , vol.106 , pp. 349-368
    • He, B.S.1    Yang, H.2    Wang, S.L.3
  • 14
    • 85016616075 scopus 로고    scopus 로고
    • A modified variable-penalty alternating directions method for monotone variational inequalities
    • He, B.S, Wang, S.L. and Yang, H., 2003, A modified variable-penalty alternating directions method for monotone variational inequalities. Journal of Computational Mathematics, 21(4), 495-504.
    • (2003) Journal of Computational Mathematics , vol.21 , Issue.4 , pp. 495-504
    • He, B.S.1    Wang, S.L.2    Yang, H.3
  • 15
    • 0002202679 scopus 로고    scopus 로고
    • A variable-penalty alternating directions method for convex optimization
    • Kontogiorgis, S. and Meyer, P.R., 1998, A variable-penalty alternating directions method for convex optimization. Mathematical Programming, 83, 29-53.
    • (1998) Mathematical Programming , vol.83 , pp. 29-53
    • Kontogiorgis, S.1    Meyer, P.R.2
  • 16
    • 0026077016 scopus 로고
    • Applications of splitting algorithm to decomposition in convex programming and variational inequalities
    • Tseng, P., 1991, Applications of splitting algorithm to decomposition in convex programming and variational inequalities. SIAM Journal on Control and Optimization, 29, 119-138.
    • (1991) SIAM Journal on Control and Optimization , vol.29 , pp. 119-138
    • Tseng, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.