| 余数定理和Hamilton—Cayley定理的推广 |
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| 引用本文： | 沈景清.余数定理和Hamilton—Cayley定理的推广[J].通化师范学院学报,1997(8). |
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| 作者姓名： | 沈景清 |
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| 作者单位： | 通化师院教学系 通化 |
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| 摘 要： | 通过本文的论征,主要推广了余数定理和Hamilton—Cayley定理的结论,同时还揭示了Hamilton—Cayley定理与数α是一元多项式f(x)的根的充要性定理之间的联系,他们都是同一个定理的特殊情形。
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| 关 键 词： | 纯量矩阵 矩阵多项式 右除 除 右(左)整除 伴随矩阵 多项式次数 |
The Generalizations of Remainder Theorem and Hamilton-Cayley Theorem |
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| Shen Jingqing.The Generalizations of Remainder Theorem and Hamilton-Cayley Theorem[J].Journal of Tonghua Teachers College,1997(8). |
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| Authors: | Shen Jingqing |
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| Institution: | Shen Jingqing Department of Mathematics,Tonghua Teachers' College Tonghua,134002 |
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| Abstract: | In this paper, we generalize the results of remainder theorem andHamilton-- Cayley theorem. In the meanwhile, we reveal the relationship betweenHamilton -- Cayley theorem and the theorem of necessary and sufficient conditionwhich a is a roof of the polynomial in one element. They are the special cases withrespect to the same theorem. |
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| Keywords: | Scalar matrix matric polynomial right divide by divide by right (left) integral quotient adjoint matrix the degree of polynomial |
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