在教科書中，單形法 ( Primal Simplex Method ) 與對偶單形法 ( Dual Simplex Method ) 是解決線性規劃問題的兩種最基本也最重要的方法，但是這兩種方法均是作用在原問題 ( primal problem )上。在這一篇論文中，我們嘗試比較「單形法求解對偶問題」和「對偶單形法求解原問題」這兩種情況。其重點在於探討兩種演算法的疊代點是否具有一致性。這裡的「一致性」意謂著，由一種演算法所得到的疊代點，經過某些轉換後，會和另一演算法所得到的疊代點有所對應。而這對立的過程，我們在這篇論文中裡會完整地呈現出來。而我們對疊代點是否具有一致性的結果是肯定的，同時我們也導出「對偶單形法求解原問題」其實和「單形法求解對偶問題」是等價的。

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