Quasipolyhedral sets in linear semiinfinite inequality systems

Linear Algebra and Its Applications

Volumn 255, Issue 1-3, 1997, Pages 157-169

  Marchi, Ezio ^a   Puente, Rubén ^a   Vera De Serio, Virginia N ^b  

^a UNIVERSIDAD NACIONAL DE SAN LUIS   (Argentina)

^b UNIVERSIDAD NACIONAL DE CUYO   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038907458     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(96)00164-4     Document Type: Article

References (11)

1. E. J. Anderson and A. S. Lewis, An extension of the simplex algorithm for semi-infinite linear programming, Math. Programming 44:247-269 (1989).
2. K. Fan, On infinite systems of linear inequalities, J. Math. Anal. Appl. 21:475-478 (1968).
3. J. Franklin, Mathematical methods of economics, Amer. Math. Monthly 90:229-244 (1983).
4. M. A. Goberna, V. Jornet, and M. A. López, Semi-infinite linear models in pattern recognition, Tech. Report, Departamento de Estadística e Investigación Operativa, Univ. de Alicante, 1995.
5. M. A. Goberna and M. A. López, A theory of linear inequality systems, Linear Algebra Appl. 106:77-115 (1988).
6. M. A. Goberna, M. A. López, J. T. Pastor, and E. Vercher, Alternative theorems for infinite systems with applications to semi-infinite games, Nieuw Arch. Wisk. 4:218-234 (1984).
7. R. Hettich and K. O. Kortanek, Semi-infinite programming: Theory, methods and applications, SIAM Rev. 35:380-429 (1993).
8. I. Kun, A geometrical approach to the theory of linear inequalities, in Survey of Mathematical Programming I (A. Prékopa, Ed.), 1979, pp. 63-67.
9. R. T. Rockafellar, Convex Analysis, Princeton U. P., Princeton, N.J., 1986.
10. S. H. Tijs, Semi-infinite linear programs and semi-infinite matrix games, Nieuw Arch. Wisk. 3:197-215 (1979).
11. H. Weyl, Elementäre Theorie der konvexen Polyeder, in Contributions to the Theory of Games, Ann. Mathematics Study 1 (H. W. Kuhn and A. W. Tucker, Eds.), Princeton U. P., Princeton, N.J. 1950, pp. 3-18.