| 一类对称三对角矩阵的特征多项式 |
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| 引用本文： | 贾冠军,刘汉忠.一类对称三对角矩阵的特征多项式[J].菏泽学院学报,1996(4). |
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| 作者姓名： | 贾冠军 刘汉忠 |
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| 作者单位： | 菏泽师专数学系，济宁教育学院 山东菏泽 274015，山东济宁 272100 |
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| 摘 要： | 本文给出了一类特殊的对称三对角矩阵特征多项式的递推公式及其特征多项式序列中各多项式系数之间的递推关系式。证明了该序列的正交性以及此类三对角矩阵特征多项式的整除性质。
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| 关 键 词： | 三对角矩阵 对称三对角矩阵 特征多项式 |
A Class of Eigen Polynomials of Symmetry Three Diagonal Matrixes |
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| Jia Guanjun Liu Hanzhong.A Class of Eigen Polynomials of Symmetry Three Diagonal Matrixes[J].Journal of Heze University,1996(4). |
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| Authors: | Jia Guanjun Liu Hanzhong |
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| Institution: | Jia Guanjun Liu Hanzhong
(HezE Teacher's College 274015) (JiNing Eduction College 272100) |
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| Abstract: | In this article, We have given a recurrence formula on a class of eigenpolynomials of symmetry three diagnomal matrixes, and a recurrence relation of each polynomial cofficient in the eigenpolyomial sequence. In the meantime, this sequence is orthogonal and a series of the divisible properties of the three diagonal matrkes are proved. |
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| Keywords: | three diagonal matrix symmetry three diagonal matrix eigenpolynomial |
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