论文信息 - Unboundedness of a convex quadratic function subject to concave and convex quadratic constraints

Unboundedness of a convex quadratic function subject to concave and convex quadratic constraints

Abstract We present conditions for the existence of upper and lower bounds on convex quadratic objective functions subject to concave and convex quadratic constraints. We also present techniques for determining whether or not the conditions are satisfied.

Richard J. Caron | Wiesława T. Obuchowska | R. Caron | W. T. Obuchowska

[1] J. G. Ecker,et al. A Dual Method for Quadratic Programs with Quadratic Constraints , 1975 .

[2] V. Klema. LINPACK user's guide , 1980 .

[3] Sanjay Mehrotra,et al. A method of analytic centers for quadratically constrained convex quadratic programs , 1991 .

[4] Olvi L. Mangasarian,et al. Nonlinear Programming , 1969 .

[5] E. Phan-huy-Hao,et al. Quadratically constrained quadratic programming: Some applications and a method for solution , 1982, Z. Oper. Research.

[6] Shu-Cherng Fang,et al. Controlled perturbations for quadratically constrained quadratic programs , 1986, Math. Program..

[7] J. Ecker,et al. A Reduced Gradient-method for Quadratic Programs With Quadratic Constraints and Lp-constrained Lp-approximation Problems , 1982 .

[8] David P. Baron. Quadratic programming with quadratic constraints , 1972 .