Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site watmath.UUCP Path: utzoo!watmath!mwang From: mwang@watmath.UUCP (mwang) Newsgroups: ont.events Subject: UW Scient. Comput. Seminar, Prof. Wolkowicz on "A Constraint Qualification for an Infinite Dimensional Linear Program" Message-ID: <9922@watmath.UUCP> Date: Tue, 20-Nov-84 16:07:48 EST Article-I.D.: watmath.9922 Posted: Tue Nov 20 16:07:48 1984 Date-Received: Wed, 21-Nov-84 00:17:42 EST Expires: Fri, 30-Nov-84 00:00:00 EST Organization: U of Waterloo, Ontario Lines: 34 _U_N_I_V_E_R_S_I_T_Y _O_F _W_A_T_E_R_L_O_O _D_E_P_A_R_T_M_E_N_T _O_F _C_O_M_P_U_T_E_R _S_C_I_E_N_C_E _J_o_i_n_t_l_y _w_i_t_h _D_e_p_a_r_t_m_e_n_t _o_f _C_o_m_b_i_n_a_t_o_r_i_c_s _& _O_p_t_i_m_i_z_a_t_i_o_n _S_E_M_I_N_A_R _A_C_T_I_V_I_T_I_E_S _S_C_I_E_N_T_I_F_I_C _C_O_M_P_U_T_A_T_I_O_N _S_E_M_I_N_A_R - Thursday, November 29, 1984. Prof. H. Wolkowicz of Emory University will speak on ``A Constraint Qualification for an Infinite Dimension- al Linear Program''. TIME: 11:30 AM (Please Note) ROOM: MC 5158 ABSTRACT Constraint qualifications for infinite dimensional pro- grams are often hard to verify. Finite dimensional linear programs always satisfy a constraint qualifica- tion, i.e. the primal optimal value equals the dual op- timal value which is attained. We take advantage of the special structure of linear programming in infinite dimensions and present an easily verifiable constraint qualification. We then obtain a characterization of optimality without any constraint qualification. Ap- plications include a recent explicit solution of a best interpolation problem.