| 高阶线性递归数列的矩阵表示与恒等式 |
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| 引用本文： | 周持中.高阶线性递归数列的矩阵表示与恒等式[J].湖南理工学院学报,1993(1). |
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| 作者姓名： | 周持中 |
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| 作者单位： | 岳阳大学 |
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| 摘 要： | 本文较深地讨论了一般常系数齐次线性递归数列的联结矩阵的性质,得出了线性递归数列几种矩阵表示的形式,并利用这些表示法新建立了高阶线性递归数列的若干重要恒等式.
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| 关 键 词： | 线性递归数列 联结矩阵 矩阵表示 恒等式 |
Matrix Represention and Identity of Higher-order Linear Recursive Series |
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| Zhou Cizhong.Matrix Represention and Identity of Higher-order Linear Recursive Series[J].Journal of Hunan Institute of Science and Technology,1993(1). |
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| Authors: | Zhou Cizhong |
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| Institution: | Zhou Cizhong |
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| Abstract: | In this paper we deal with the properties of the associated matrix of a kth -order homogeneous linear recurrsion sequence considerably deeply and obtain some types of matrix representations of the linear recurrsion sequence.Some important identities of high-order recurrsion sequence have been new established by using rhe meihod of matrix representatccns. |
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| Keywords: | linear recursion sequencl associated matrix matrix representation identity |
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