| 循环矩阵的性质及求逆方法 |
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| 引用本文： | 李天增,王瑜.循环矩阵的性质及求逆方法[J].四川理工学院学报(自然科学版),2009,22(4):47-49,55. |
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| 作者姓名： | 李天增 王瑜 |
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| 作者单位： | 四川理工学院理学院,四川,自贡,643000 |
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| 基金项目： | 四川理工学院人才引进科研启动项目 |
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| 摘 要： | 对于矩阵中一类重要的矩阵循环矩阵,从定义出发研究了它的各种性质,并利用矩阵对角化的方法给出了循环矩阵的逆矩阵和行列式的表达式。然后讨论了推广的循环矩阵,即准循环矩阵和广义循环矩阵,利用类似方法,也给出了它们的求逆阵和求行列式的方法。
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| 关 键 词： | 循环矩阵 准循环矩阵 逆矩阵 |
Cyclic Matrix's Characters and the Methods of Demand the Inverse |
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| LI Tian-zeng,WANG Yu.Cyclic Matrix's Characters and the Methods of Demand the Inverse[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(4):47-49,55. |
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| Authors: | LI Tian-zeng WANG Yu |
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| Institution: | School of Science;Sichuan University of Science & Engineering;Zigong 643000;China |
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| Abstract: | The cyclic matrix is a kind of important matrix.We study its characters from its definition,and give the expression of its inverse and determinant by the method of matrix diagonalization.Then it gives the definitions of quasi-cyclic matrix and generalized cyclic matrix,and gives the methods of demand their inverses and determinants by genetalized the above appoach. |
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| Keywords: | cyclic matrix quasi-cyclic matrix inverse of a matrix |
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