在尋找實係數多項式的根,和尋找tridiagonal matrix的特徵根
的問題上,Sturm定理提供了清楚而又簡單的處理方法.它不只完整
且兼具實用性.在這裡我們廣泛的討論了它各種的觀點並且提供了一部份的逆定理.

Sturm theorem provides a classical method to lacate the
roots of a real polynomial as well as the eigenvalues of a tridiagonal matrix. It exhibits an admirable simplicity
in its proof and an easy manner in application. Various
aspects of Sturm theorem are presented in this thesis. A
partial answer is obtained to the initial object to find
sufficint conditions for Sturm sequence.

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