| 关于矩阵迹结论的一个应用 |
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| 引用本文： | 邓勇.关于矩阵迹结论的一个应用[J].赣南师范学院学报,2008,29(3):28-30. |
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| 作者姓名： | 邓勇 |
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| 作者单位： | 喀什师范学院数学系,新疆,喀什,844006 |
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| 摘 要： | 牛顿恒等式是联系多项式根的幂和与其系数关系的一个重要恒等式.本文利用矩阵迹的结论和凯莱-哈密顿定理,得到了牛顿恒等式证明的一个矩阵方法.
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| 关 键 词： | 矩阵 迹 牛顿恒等式 凯莱-哈密顿定理 |
An Application of one Result on Matrix Trace |
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| DENG Yong.An Application of one Result on Matrix Trace[J].Journal of Gannan Teachers' College(Social Science(2)),2008,29(3):28-30. |
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| Authors: | DENG Yong |
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| Institution: | DENG Yong (Department of Mathematics, Kashgar Teachers College, Kashgar 844006, China) |
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| Abstract: | Newton's identities are an important identity which connect the power sum of roots of a polynomial and its coefficients.In this paper,we obtained a way to prove Newton's identities by using the facts on matrix tract and Cayley-hamiilton theorem. |
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| Keywords: | matrix trace newton's identities cayley-hamilton theorem |
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