Convex Constrained Programmes with Unattained Infima

Journal of Mathematical Analysis and Applications

Volumn 234, Issue 2, 1999, Pages 675-694

  Obuchowska, Wiesława T ^a  

^a UNIVERSITY OF NEBRASKA AT OMAHA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347023963     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6407     Document Type: Article

References (13)

1. R. A. Abrams, Projections of convex programs with unattained infima, SIAM J. Control 13, No. 3 (1975), 706-718.
2. A. Auslender, R. Cominetti, and J.-P. Crouzeix, Convex functions with unbounded level sets and applications to duality theory, SIAM J. Optim. 3 (1993), 669-687.
3. R. J. Caron and W. T. Obuchowska, Unboundedness of a convex quadratic function subject to concave and convex quadratic constraints, European J. Operational Res. 63 (1992), 114-123.
4. R. J. Caron and W. T. Obuchowska, An algorithm to determine boundedness of quadratically constrained convex quadratic programmes, European J. Operational Res. 80 (1995), 431-438.
5. A. V. Fiacco and G. P. McCormick, "Nonlinear Programming; Sequential Unconstrained Minimization Techniques," Wiley, New York, 1968.
6. J.-B. Hiriart-Urutty and C. Lemarechal, "Convex Analysis and Minimization Algorithms I," Springer-Verlag, Berlin/New York, 1993.
7. M. Lamoureux and H. Wolkowicz, Numerical decomposition of a convex function, J. Optim. Theory Appl. 47 (1985), 51-64.
8. K. G. Murty, "Linear Complementarity and Nonlinear Programming," Helderman, West Berlin, 1988.
9. W. T. Obuchowska and K. G. Murty, Cone of recession and unboundedness of convex functions, submitted for publication.
10. W. T. Obuchowska, On the infimal trajectory of convex functions with unbounded level sets, submitted for publication.
11. R. T. Rockafeller, "Convex Analysis," Princeton Univ. Press, Princeton, NJ, 1979.
12. R. T. Rockafeller, Some convex programs whose duals are linearly constrained, in "Nonlinear Programming" (J. B. Rosen, O. L. Mangasarian, and K. Ritter, Eds.), Academic Press, New York, 1970.
13. W. Rudin, "Principles of Mathematical Analysis," McGraw-Hill, New York, 1976.