在這篇碩士論文中，我們研究小樣本統計條件數估計估算不同的數值代數問題的條件數。SSCE是在機率的觀點之下估計數值問題的條件數，主要是目標問題對於微分部分的估計。在這篇碩士論文中，我們計畫用SSCE分別去算線性系統、特徵值問題、狀態迴溯極點配置問題。

In this thesis, we study small sample statistical condition number estimation (SSCE) to estimate the condition numbers of various numerical algebra problems. Method SSCE is used to estimate the condition number of a numerical problem in a probability sense. The main task of SSCE involves estimating the derivative part of the target problem. In this thesis, we plan to use SSCE on linear systems, eigenvalue problems, and state feedback pole assignment problems, to estimate individual condition numbers, respectively.

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