Browsing by Author "Taati, A."
Now showing items 1-4 of 4
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A hyperbolic penalty method to solve structured convex minimization problems
Hamdi, A.; Al-Maadeed, T.K.; Taati, A. ( Institute of Advanced Science Extension (IASE) , 2020 , Article)This paper presents a decomposition algorithm based on the smooth hyperbolic penalty, which leads to a scheme suitable for parallelized computations. The proposed algorithm can be seen as a separable version of the earlier ... -
An efficient algorithm for large-scale extended trust-region subproblems with non-intersecting linear constraints
Karbasy, S.A.; Hamdi, A.; Salahi, M.; Taati, A. ( Springer Science and Business Media Deutschland GmbH , 2021 , Article)In this paper, we study the extended trust-region subproblem in which the trust-region intersects the ball with m linear inequality constraints (m-eTRS). We assume that the linear constraints do not intersect inside the ... -
Quadratic problems with two quadratic constraints: Convex quadratic relaxation and strong lagrangian duality
Hamdi, A.; Taati, A.; Almaadeed, T.A. ( EDP Sciences , 2021 , Article)In this paper, we study a nonconvex quadratic minimization problem with two quadratic constraints, one of which being convex. We introduce two convex quadratic relaxations (CQRs) and discuss cases, where the problem is ... -
The generalized trust-region sub-problem with additional linear inequality constraints-Two convex quadratic relaxations and strong duality
Almaadeed, T.A.; Taati, A.; Salahi, M.; Hamdi, A. ( MDPI AG , 2020 , Article)In this paper, we study the problem of minimizing a general quadratic function subject to a quadratic inequality constraint with a fixed number of additional linear inequality constraints. Under a regularity condition, we ...