메뉴 건너뛰기




Volumn 88, Issue 1, 1996, Pages 139-155

Nonlinear complementarity as unconstrained optimization

Author keywords

Global minima; Newton type methods; Nonlinear complementarity problems; Stationary points; Unconstrained minimization

Indexed keywords

CONDITION; GENERALISATION; GLOBAL MINIMUM; LAGRANGIAN FUNCTIONS; NEWTON-TYPE METHODS; NONLINEAR COMPLEMENTARITY PROBLEM; OBJECTIVE FUNCTIONS; STATIONARY POINTS; UNCONSTRAINED MINIMIZATION; UNCONSTRAINED OPTIMIZATION;

EID: 0030540616     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02192026     Document Type: Article
Times cited : (81)

References (14)
  • 1
    • 34250076671 scopus 로고
    • Nonlinear complementarity as unconstrained and constrained minimization
    • MANGASARIAN, O. L., and SOLODOV, M. V., Nonlinear Complementarity as Unconstrained and Constrained Minimization, Mathematical Programming, Vol. 62B, pp. 277-297, 1993.
    • (1993) Mathematical Programming , vol.62 B , pp. 277-297
    • Mangasarian, O.L.1    Solodov, M.V.2
  • 2
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms, and applications
    • HARKER, P. T., and PANG, J. S., Finite-Dimensional Variational Inequality and Nonlinear Complementarity Problems: A Survey of Theory, Algorithms, and Applications, Mathematical Programming, Vol. 48B, pp. 161-220, 1990.
    • (1990) Mathematical Programming , vol.48 B , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 3
    • 0026185912 scopus 로고
    • A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity, and variational inequality problems
    • PANG J. S., A B-Differentiable Equation-Based, Globally and Locally Quadratically Convergent Algorithm for Nonlinear Programs, Complementarity, and Variational Inequality Problems, Mathematical Programming, Vol. 51A, pp. 101-131, 1990.
    • (1990) Mathematical Programming , vol.51 A , pp. 101-131
    • Pang, J.S.1
  • 4
    • 34249962655 scopus 로고
    • Newton's method for the nonlinear complementarity problem: A B-differentiable equation approach
    • MARKER, P. T., and XIAO, B., Newton's Method for the Nonlinear Complementarity Problem: A B-Differentiable Equation Approach, Mathematical Programming, Vol. 48B, pp. 339-357, 1990.
    • (1990) Mathematical Programming , vol.48 B , pp. 339-357
    • Marker, P.T.1    Xiao, B.2
  • 5
    • 0002147441 scopus 로고
    • Equivalence of the complementarity problem to a system of nonlinear equations
    • MANGASARIAN, O. L., Equivalence of the Complementarity Problem to a System of Nonlinear Equations, SIAM Journal on Applied Mathematics, Vol. 31, pp. 89-92, 1976.
    • (1976) SIAM Journal on Applied Mathematics , vol.31 , pp. 89-92
    • Mangasarian, O.L.1
  • 6
    • 0028712609 scopus 로고
    • Some equation-based methods for the nonlinear complementarity problem
    • KANZOW, C. Some Equation-Based Methods for the Nonlinear Complementarity Problem, Optimization Methods and Software, Vol. 3, pp. 327-340, 1994.
    • (1994) Optimization Methods and Software , vol.3 , pp. 327-340
    • Kanzow, C.1
  • 8
    • 0012962238 scopus 로고
    • Linear complementarity
    • Heldermann Verlag, Berlin, Germany
    • MURTY, K. G., Linear Complementarity, Linear and Nonlinear Programming, Heldermann Verlag, Berlin, Germany, 1988.
    • (1988) Linear and Nonlinear Programming
    • Murty, K.G.1
  • 10
    • 0029425016 scopus 로고
    • A class of Newton-type methods for equality and inequality constrained optimization
    • KANZOW, C., and KLEINMICHEL, H., A Class of Newton-Type Methods for Equality and Inequality Constrained Optimization, Optimization Methods and Software, Vol. 5, pp. 173-198, 1995.
    • (1995) Optimization Methods and Software , vol.5 , pp. 173-198
    • Kanzow, C.1    Kleinmichel, H.2
  • 11
    • 84948263182 scopus 로고
    • A special Newton-type optimization method
    • FISCHER, A., A Special Newton-Type Optimization Method, Optimization, Vol. 24, pp. 269-284, 1992.
    • (1992) Optimization , vol.24 , pp. 269-284
    • Fischer, A.1
  • 12
    • 21844488561 scopus 로고
    • On stationary points of the implicit lagrangian for nonlinear complementarity problems
    • YAMASHITA, N., and FUKUSHIMA, M., On Stationary Points of the Implicit Lagrangian for Nonlinear Complementarity Problems, Journal of Optimization Theory and Applications, Vol. 84, pp. 653-663, 1995.
    • (1995) Journal of Optimization Theory and Applications , vol.84 , pp. 653-663
    • Yamashita, N.1    Fukushima, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.