本文目的在討論實數與複數分數形式規劃(Fractional programming)及其對偶(duality)的相關性質。這些性質主要是在二篇論文[1],[2]中敘述，但在本文中我們加以綜合分析，並以四章節(第二章-第五章)來歸納比較兩篇論文的技巧和手法。以期對分數型規劃有更進一步之了解。
這四個章節之概要如下：
第二章說明實數pseudoconvex和quasiconvex的一些性質。第三章簡要闡述第一篇論文的內容與方法；第四章簡要闡述第二篇論文的內容與方法；最後一章則是兩篇文章的相關性與總結。

目 次
自序.........................................ii
第一章 簡介...................................1
第二章 實數的pseudoconvex和quasiconvex........2
第三章 實數的分數型式規劃的對偶...............9
第四章 複數的分數型式規劃的對偶..............20
第五章 結論..................................42
Reference....................................43
自傳.........................................44

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