On the parametric linear complementarity problem

Journal of Optimization Theory and Applications

Volumn 95, Issue 2, 1997, Pages 445-454

  Danao, R A ^a  

^a UNIVERSITY OF THE PHILIPPINES   (Philippines)

Author keywords

Complementary cones; Isotone solutions; Matrices; Parametric linear complementarity problem

Indexed keywords

COMPLEMENTARY CONE; CONDITION; ISOTONE SOLUTION; LINEAR COMPLEMENTARITY PROBLEMS; MATRIX; P-MATRICES; P-MATRIX; PARAMETRIC LINEAR COMPLEMENTARITY PROBLEM;

MATRIX ALGEBRA;

EID: 0031511561     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022699624785     Document Type: Article

References (8)

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2. KANEKO, I., Isotone Solutions of Parametric Linear Complementarity Problems, Mathematical Programming, Vol. 12, pp. 48-59, 1977.
3. COTTLE, R. W., PANG, J. S., and STONE, R. E., The Linear Complementarity Problem, Academic Press, Boston, Massachusetts, 1992.
4. EAVES, B. C., The Linear Complementarity Problem, Management Science, Vol. 17, pp. 612-634, 1971.
5. DANAO, R. A., A Note on E′-Matrices, Linear Algebra and Its Applications, Vol. 259, pp. 299-305, July 1, 1997.
6. MURTY, K. G., On the Number of Solutions to the Complementarity Problem and Spanning Properties of Complementary Cones, Linear Algebra and Its Applications, Vol. 5, pp. 65-100, 1972.
7. 0-Matrices in the Linear Complementarity Problem, Operations Research Letters, Vol. 13, pp. 121-125, 1993.
8. FIEDLER, M., and PTAK. V., On Matrices with Nonpositive Off-Diagonal Elements and Positive Principal Minors, Czechoslovak Mathematical Journal, Vol. 12, pp. 382-400, 1962.