GCOEセミナー

過去の記録 ~03/28次回の予定今後の予定 03/29~


2013年02月28日(木)

17:00-18:00   数理科学研究科棟(駒場) 270号室
Kazufumi Ito 氏 (North Carolina State Univ.)
$L_0$ optimization and Lagrange multiplier (ENGLISH)
[ 講演概要 ]
$L_p$ optimization with $p ¥in[0,1)$ is investigated. The difficulty of natural lack of weak lower-semicontinuity is addressed and the Lagrange multiplier theory is developed. Existence results and necessary optimality conditions are obtained, and the semismooth Newton method using the primal-dual active set is developed. The theory and algorithm are demonstrated for the case of optimal control problems. A maximum principle is derived and existence of controls, in some cases relaxed controls, is proved.