메뉴 건너뛰기




Volumn 89, Issue 1, 1996, Pages 17-37

Growth behavior of a class of merit functions for the nonlinear complementarity problem

Author keywords

Coercive functions; Complementarity problems; Error bounds; Merit functions; Natural residuals

Indexed keywords

ERROR ANALYSIS;

EID: 0030536279     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02192639     Document Type: Article
Times cited : (112)

References (37)
  • 2
    • 0000772810 scopus 로고
    • Complementarity problems
    • Springer Verlag, New York, New York
    • ISAC, G., Complementarity Problems, Lecture Notes in Mathematics, Springer Verlag, New York, New York, Vol. 1528, 1992.
    • (1992) Lecture Notes in Mathematics , vol.1528
    • Isac, G.1
  • 3
    • 0003000071 scopus 로고
    • Complementarity problems
    • Edited by R. Horst and P. Pardalos. Kluwer Academic Publishers, Norwell, Massachusetts
    • PANG, J. S., Complementarity Problems, Handbook on Global Optimization, Edited by R. Horst and P. Pardalos. Kluwer Academic Publishers, Norwell, Massachusetts, 1994.
    • (1994) Handbook on Global Optimization
    • Pang, J.S.1
  • 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
    • 0011261717 scopus 로고
    • Sufficient conditions for a minimum for nonlinear programming problems
    • EVTUSHENKO, Y. G., and PURTOV, V. A., Sufficient Conditions for a Minimum for Nonlinear Programming Problems, Soviet Mathematics Doklady, Vol. 30, pp. 313-316, 1984.
    • (1984) Soviet Mathematics Doklady , vol.30 , pp. 313-316
    • Evtushenko, Y.G.1    Purtov, V.A.2
  • 8
    • 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
  • 11
    • 0001784299 scopus 로고
    • Solving the nonlinear complementarity problem by a homotopy method
    • WATSON, L. T., Solving the Nonlinear Complementarity Problem by a Homotopy Method, SIAM Journal on Control and Optimization, Vol. 17, pp. 36-46, 1979.
    • (1979) SIAM Journal on Control and Optimization , vol.17 , pp. 36-46
    • Watson, L.T.1
  • 13
    • 0040600308 scopus 로고    scopus 로고
    • to appear
    • KANZOW, C., Global Convergence Properties of Some Iterative Methods for Linear Complementarity Problems, Preprint 72, Institut für Angewandte Mathematik, Universität Hamburg, 1993; SIAM Journal on Optimization, Vol. 6, 1996, to appear.
    • (1996) SIAM Journal on Optimization , vol.6
  • 14
    • 21844489033 scopus 로고
    • A Newton-type method for positive-semidefinite linear complementarity problems
    • FISCHER, A., A Newton-Type Method for Positive-Semidefinite Linear Complementarity Problems, Journal of Optimization Theory and Applications, Vol. 86, pp. 585-608, 1995.
    • (1995) Journal of Optimization Theory and Applications , vol.86 , pp. 585-608
    • Fischer, A.1
  • 15
    • 0039414896 scopus 로고
    • On the local superlinear convergence of a Newton-type method for LCP under weak conditions
    • FISCHER, A., On the Local Superlinear Convergence of a Newton-Type Method for LCP under Weak Conditions, Optimization Methods and Software, Vol. 6, pp. 83-107, 1995.
    • (1995) Optimization Methods and Software , vol.6 , pp. 83-107
    • Fischer, A.1
  • 16
    • 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
  • 17
    • 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
  • 20
    • 21344480786 scopus 로고
    • Error bounds and convergence analysis of feasible descent methods: A general approach
    • LUO, Z. Q., and TSENG, P., Error Bounds and Convergence Analysis of Feasible Descent Methods: A General Approach, Annals of Operations Research, Vol. 46, pp. 157-178, 1993.
    • (1993) Annals of Operations Research , vol.46 , pp. 157-178
    • Luo, Z.Q.1    Tseng, P.2
  • 21
    • 0040600305 scopus 로고
    • Private Communications
    • KANZOW, C., Private Communications, 1994.
    • (1994)
    • Kanzow, C.1
  • 23
    • 0003493786 scopus 로고    scopus 로고
    • to appear
    • LUO, X. D., and TSENG, P., Conditions for a Projection-Type Error Bound for the Linear Complementarity Problem to Be Global, Report, Operations Research, Massachusetts Institute of Technology, 1993; Linear Algebra and Its Applications, to appear.
    • Linear Algebra and Its Applications
  • 25
    • 0011352169 scopus 로고
    • On a global error bound for a class of monotone affine variational inequality problems
    • LUO, Z. Q., and TSENG, P., On a Global Error Bound for a Class of Monotone Affine Variational Inequality Problems, Operations Research Letters, Vol. 11, pp. 159-165, 1992.
    • (1992) Operations Research Letters , vol.11 , pp. 159-165
    • Luo, Z.Q.1    Tseng, P.2
  • 26
    • 34249962654 scopus 로고
    • Error bounds for nondegenerate monotone linear complementarity problems
    • MANGASARIAN, O. L., Error Bounds for Nondegenerate Monotone Linear Complementarity Problems, Mathematical Programming, Vol. 48, pp. 437-445, 1990.
    • (1990) Mathematical Programming , vol.48 , pp. 437-445
    • Mangasarian, O.L.1
  • 27
    • 34249762648 scopus 로고
    • New improved error bounds for the linear complementarity problem
    • MANGASARIAN, O. L., and REN, J., New Improved Error Bounds for the Linear Complementarity Problem, Mathematical Programming, Vol. 66, pp. 241-255, 1994.
    • (1994) Mathematical Programming , vol.66 , pp. 241-255
    • Mangasarian, O.L.1    Ren, J.2
  • 28
    • 38249017301 scopus 로고
    • Error bounds for the linear complementarity problem with a P-matrix
    • MATHIAS, R., and PANG, J. S., Error Bounds for the Linear Complementarity Problem with a P-Matrix, Linear Algebra and Its Applications, Vol. 132, pp. 123-136, 1990.
    • (1990) Linear Algebra and Its Applications , vol.132 , pp. 123-136
    • Mathias, R.1    Pang, J.S.2
  • 29
    • 0001170028 scopus 로고
    • A posteriori error bounds for the linearly-constrained variational inequality problem
    • PANG, J. S., A Posteriori Error Bounds for the Linearly-Constrained Variational Inequality Problem, Mathematics of Operations Research, Vol. 12, pp. 474-484, 1987.
    • (1987) Mathematics of Operations Research , vol.12 , pp. 474-484
    • Pang, J.S.1
  • 30
    • 0030303845 scopus 로고    scopus 로고
    • Equivalence of complementarity problems to differentiable minimization: A unified approach
    • to appear
    • TSENG, P., YAMASHITA, N., and FUKUSHIMA, M., Equivalence of Complementarity Problems to Differentiable Minimization: A Unified Approach; SIAM Journal on Optimization, Vol. 6, 1996, to appear.
    • (1996) SIAM Journal on Optimization , vol.6
    • Tseng, P.1    Yamashita, N.2    Fukushima, M.3
  • 31
    • 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. 62, pp. 277-297, 1993.
    • (1993) Mathematical Programming , vol.62 , pp. 277-297
    • Mangasarian, O.L.1    Solodov, M.V.2
  • 32
    • 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
  • 35
    • 0040007074 scopus 로고    scopus 로고
    • to appear
    • JIANG, H., and QI, L., A New Nonsmooth Equations Approach to Nonlinear Complementarities, Report AMR94/31, School of Mathematics, University of New South Wales, 1994; SIAM Journal on Control and Optimization, to appear.
    • SIAM Journal on Control and Optimization
  • 37
    • 0039414890 scopus 로고    scopus 로고
    • to appear
    • KANZOW, C., and FUKUSHIMA, M., Equivalence of the Generalized Complementarity Problem to Differentiable Unconstrained Minimization, Report, Institut für Angewandte Mathematik, Universität Hamburg, 1995; Journal of Optimization Theory and Applications, Vol. 91, 1996, to appear.
    • (1996) Journal of Optimization Theory and Applications , vol.91


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.