Complementary variational principle and duality in mathematical programming |
| |
Authors: | WL Chan GG Leininger JB Farison |
| |
Institution: | Department of Electrical Engineering, The University of Toledo, Toledo, Ohio 43606 U.S.A. |
| |
Abstract: | The relationship between the complementary variational principle and duality in mathematical programming is demonstrated through a geometric approach in a Hilbert space setting. A necessary and sufficient condition for the existence of such a principle is given in the case of a convex functional constrained by linear dynamics. Its relationship to the Kuhn-Tucker saddle point theory is indicated. Applications to various programming and control problems are discussed. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |