메뉴 건너뛰기




Volumn 45, Issue 1, 2002, Pages 63-74

A modified alternating direction method for variational inequality problems

Author keywords

Alternating direction methods; Global convergence; Monotone mappings; Variational inequality problems

Indexed keywords

COMPUTATIONAL METHODS; FUNCTIONS; ITERATIVE METHODS;

EID: 0013358915     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-001-0029-3     Document Type: Article
Times cited : (26)

References (22)
  • 1
    • 0000050153 scopus 로고
    • Projection method for variational inequalities with applications to the traffic assignment problem
    • Bertsekas DP, Gafni EM (1982) Projection method for variational inequalities with applications to the traffic assignment problem. Mathematical Programming Study 17:139-159
    • (1982) Mathematical Programming Study , vol.17 , pp. 139-159
    • Bertsekas, D.P.1    Gafni, E.M.2
  • 2
    • 0002036820 scopus 로고
    • Traffic equilibrium and variational inequalities
    • Dafermos S (1980) Traffic equilibrium and variational inequalities. Transportation Science 14:42-54
    • (1980) Transportation Science , vol.14 , pp. 42-54
    • Dafermos, S.1
  • 3
    • 0001918140 scopus 로고
    • On the basic theorem of complementarity
    • Eaves BC (1971) On the basic theorem of complementarity. Mathematical Programming 1:68-75
    • (1971) Mathematical Programming , vol.1 , pp. 68-75
    • Eaves, B.C.1
  • 6
    • 77957064934 scopus 로고
    • Applications of the method of multipliers to variational inequalities
    • Fortin M, Glowinski R, eds, North-Holland, Amsterdam
    • Gabay D (1983) Applications of the method of multipliers to variational inequalities. In Fortin M, Glowinski R, eds, Augmented Lagrangian Methods: Applications to the Solution of Boundary-Valued Problems. North-Holland, Amsterdam, pp 299-331
    • (1983) Augmented Lagrangian Methods: Applications to the Solution of Boundary-valued Problems , pp. 299-331
    • Gabay, D.1
  • 7
    • 0002211517 scopus 로고
    • A dual algorithm for the solution of nonlinear variational problems via finite-element approximations
    • Gabay D, Mercier B (1976) A dual algorithm for the solution of nonlinear variational problems via finite-element approximations. Computers and Mathematics with Applications 2(1): 17-40
    • (1976) Computers and Mathematics with Applications , vol.2 , Issue.1 , pp. 17-40
    • Gabay, D.1    Mercier, B.2
  • 10
    • 0003200255 scopus 로고
    • Augmented lagrangian and operator-splitting method in nonlinear mechanics
    • SIAM, Philadelphia, PA
    • Glowinski R, Le Tallec P (1989) Augmented Lagrangian and Operator-Splitting Method in Nonlinear Mechanics. SIAM Studies in Applied Mathematics. SIAM, Philadelphia, PA
    • (1989) SIAM Studies in Applied Mathematics
    • Glowinski, R.1    Le Tallec, P.2
  • 11
    • 85094684331 scopus 로고    scopus 로고
    • New alternating direction method for a class of nonlinear variational inequality problems
    • to appear
    • Han DR, Lo HK (to appear) New alternating direction method for a class of nonlinear variational inequality problems. Journal of Optimization, Theory and Applications
    • Journal of Optimization, Theory and Applications
    • Han, D.R.1    Lo, H.K.2
  • 12
    • 33645447060 scopus 로고    scopus 로고
    • A new stepsize rule in He and Zhou's alternating direction method
    • to appear
    • Han DR, Lo HK (to appear) A new stepsize rule in He and Zhou's alternating direction method. Applied Mathematics Letters
    • Applied Mathematics Letters
    • Han, D.R.1    Lo, H.K.2
  • 13
    • 0000527168 scopus 로고
    • A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming
    • He BS (1992) A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming. Applied Mathematics and Optimization 25:247-262
    • (1992) Applied Mathematics and Optimization , vol.25 , pp. 247-262
    • He, B.S.1
  • 14
    • 0028767587 scopus 로고
    • A new method for a class of linear variation inequalities
    • He BS (1994) A new method for a class of linear variation inequalities. Mathematical Programming 66:137-144
    • (1994) Mathematical Programming , vol.66 , pp. 137-144
    • He, B.S.1
  • 15
    • 21344492689 scopus 로고
    • Solving a class of linear projection equations
    • He BS (1994) Solving a class of linear projection equations. Numerische Mathematik 68:71-80
    • (1994) Numerische Mathematik , vol.68 , pp. 71-80
    • He, B.S.1
  • 17
    • 0030819777 scopus 로고    scopus 로고
    • A class of new methods for monotone variational inequalities
    • He BS (1997) A class of new methods for monotone variational inequalities. Applied Mathematics and Optimization 35:69-76
    • (1997) Applied Mathematics and Optimization , vol.35 , pp. 69-76
    • He, B.S.1
  • 18
    • 0000894427 scopus 로고    scopus 로고
    • A modified alternation direction method for convex minimization problems
    • He BS, Zhou J (2000) A modified alternation direction method for convex minimization problems. Applied Mathematics Letters 13:122-130
    • (2000) Applied Mathematics Letters , vol.13 , pp. 122-130
    • He, B.S.1    Zhou, J.2
  • 19
    • 0023314787 scopus 로고
    • A note on a globally convergent Newton method for solving variational inequalities
    • Marcotte P, Dussault JP (1987) A note on a globally convergent Newton method for solving variational inequalities. Operations Research Letters 6:35-42
    • (1987) Operations Research Letters , vol.6 , pp. 35-42
    • Marcotte, P.1    Dussault, J.P.2
  • 20
    • 0030080977 scopus 로고    scopus 로고
    • Transportation network policy modeling with goal targets and generalized penalty functions
    • Nagurney A, Ramanujam P (1996) Transportation network policy modeling with goal targets and generalized penalty functions. Transportation Science 30:3-13
    • (1996) Transportation Science , vol.30 , pp. 3-13
    • Nagurney, A.1    Ramanujam, P.2
  • 21
    • 0039069256 scopus 로고    scopus 로고
    • Unconstrained methods for generalized complementarity problems
    • Peng JM, Yuan YX (1997) Unconstrained methods for generalized complementarity problems. Journal of Computational Mathematics 15:253-264
    • (1997) Journal of Computational Mathematics , vol.15 , pp. 253-264
    • Peng, J.M.1    Yuan, Y.X.2
  • 22
    • 0027543289 scopus 로고
    • A globally convergent Newton method for solving strongly monotone variational inequalities
    • Taji K, Fukushima M, Ibaraki T (1993) A globally convergent Newton method for solving strongly monotone variational inequalities. Mathematical Programming 58:369-383
    • (1993) Mathematical Programming , vol.58 , pp. 369-383
    • Taji, K.1    Fukushima, M.2    Ibaraki, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.