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  • 學位論文

論述最佳化分析及其應用

Note on Optimization Analysis and its Applications

指導教授 : 賴漢卿

摘要


這篇論文所要探討的是:「極大、極小定理」及「最大、最小規劃問題」兩個主題。

並列摘要


Two themes are chiefly thrashing out in this thesis: the mini-max theorem and the mini-max programming problem.

參考文獻


[1] B.D. Craven. Duality for generalized convex fractional programs. In S. Schaible and W.T. Ziemba, editors, Generalized Concavity in Optimization and Economics, pages 473–489. Academic Press, New York, USA, 1981.
[2] H. Dietrich. On the convexification procedure for nonconvex and nonsmooth infinite dimensional optimization problems. Journal of Mathematical Analysis and Applications, 161(1):28–34, 1991.
[3] O. Ferrero. On nonlinear programming in complex space. Journal of Mathematical Analysis and Applications, 164:399–416, 1992.
[5] M.A. Hanson and B. Mond. Necessary and sufficient conditions in constrained optimization. Mathematical Programming, 37:51–58, 1987.
[6] M.A.Hason. On sufficiency of the Kuhn-Tucker conditions. Journal of Mathematical Analysis and Applications, 80(2):545–550, 1981.

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