ncku-talk2013-12-05

NCTS(South) Seminar

DATE 2013-12-05　10:10-11:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Prof. Marco A. López（Department of Statistics and Operations Research, Alicante University, Spain）

TITLE Some Results for Convex Infinite Optimization Duality

ABSTRACT In this talk we present some results guarateeing that the optimal value of a given convex infinite-dimensional optimization problem and its corresponding Lagrangian dual coincide and, in addition, the primal optimal value is attainable. This property is known as converse strong duality (in short, minsup duality), and the conditions ensuring that this property is fulfilled involve the weakly-inf-(locally) compactness of suitable functions and the linearity or relative closedness of some sets depending on the data. Applications are given to different areas of convex optimization, including an extension of the Clark-Du ffin Theorem for ordinary convex programs.

NCTS(South) Seminar

DATE	2013-12-05　10:10-11:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Prof. Marco A. López（Department of Statistics and Operations Research, Alicante University, Spain）

TITLE	Some Results for Convex Infinite Optimization Duality

ABSTRACT	In this talk we present some results guarateeing that the optimal value of a given convex infinite-dimensional optimization problem and its corresponding Lagrangian dual coincide and, in addition, the primal optimal value is attainable. This property is known as converse strong duality (in short, minsup duality), and the conditions ensuring that this property is fulfilled involve the weakly-inf-(locally) compactness of suitable functions and the linearity or relative closedness of some sets depending on the data. Applications are given to different areas of convex optimization, including an extension of the Clark-Du ffin Theorem for ordinary convex programs.