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多項式根的上下限,在計算根的近似值時很有用,在討論實根上下限的求法時,我們只需討論實根上限的求法就够了,在求實係數多項式實根上限的各種常見的方法中,牛頓法是比較精確的一個(雖然計算比較麻煩),這個方法在庫洛什的高等代數教程及奥庫涅夫的高等代數中均有介紹,並舉例說明它比用其他方法所得的結果要精確些,但對於其所以精確的理由却未加解釋,我們現在根據自己的意見,將這個理由說一下,以供自學此法者之參考,以下的內容都很簡單,並不是什麼創見,唯因參考资料缺乏,無法——找出其出處耳。
The upper and lower bounds of the polynomial root are useful for calculating the root approximation. When discussing the method of real root and lower bounds, we only need to discuss the method of real root upper bound. In the common methods of real root of the real coefficient polynomial Newton’s method is one of the more accurate (although the calculation is more troublesome), this method is introduced in the Curois Advanced Algebra Tutorial and Okunef’s higher algebra, and exemplifies that it is more accurate than the results obtained by other methods Some of them, but for their precise reasons, they have not been explained yet. We now use this argument to talk about this reason, for the sake of self-study. The following are very simple, not innovative. Lack of reference material, can not - find out their ears.