Quadratic problems with two quadratic constraints: convex quadratic relaxation and strong lagrangian duality
نویسندگان
چکیده
In this paper, we study a nonconvex quadratic minimization problem with two constraints, one of which being convex. We introduce convex relaxations (CQRs) and discuss cases, where the is equivalent to exactly CQRs. Particularly, show that global optimal solution can be recovered from an Through equivalence, new conditions under enjoys strong Lagrangian duality, generalizing recent condition in literature. Finally, conditions, present necessary sufficient for optimality problem.
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ژورنال
عنوان ژورنال: Rairo-operations Research
سال: 2021
ISSN: ['1290-3868', '0399-0559']
DOI: https://doi.org/10.1051/ro/2020130