| 非减次矩阵的标准形及其应用 |
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| 引用本文： | 贾周,上官灵喜.非减次矩阵的标准形及其应用[J].南阳师范学院学报,2006,5(12):12-14,110. |
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| 作者姓名： | 贾周 上官灵喜 |
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| 作者单位： | 河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 摘 要： | 给出了非减次矩阵的概念及其在相似变换下的标准形,研究了非减次矩阵的一些性质和应用.
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| 关 键 词： | 非减次矩阵 非减次标准形 行列式因子 不变因子 特征多项式 最小多项式 |
| 文章编号： | 1671-6132（2006）12-0012-03 |
| 收稿时间： | 05 20 2006 12:00AM |
| 修稿时间： | 2006-05-20 |
Normal form of a non-derogatory matrix and its applications |
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| JIA Zhou,SHANGGUAN Ling-xi.Normal form of a non-derogatory matrix and its applications[J].Journal of Nanyang Teachers College,2006,5(12):12-14,110. |
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| Authors: | JIA Zhou SHANGGUAN Ling-xi |
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| Institution: | College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China |
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| Abstract: | In this paper,we estabish the notion of a non-derogatory matory and give its normal form under the similarity transformation.Furthermore,some properties of non-derogatory matrix and its applications are studied. |
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| Keywords: | non-derogatory matrix non-derogatory normal form determinant factor invariant factor characteristic polynomial minimal polynomial |
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