| Pascal矩阵的一种显式分解 |
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| 引用本文： | 杨胜良.Pascal矩阵的一种显式分解[J].数学研究及应用,2004,24(1):73-82. |
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| 作者姓名： | 杨胜良 |
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| 作者单位： | 兰州理工大学应用数学系,甘肃,兰州,730050 |
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| 基金项目： | Development Program for Outstanding Young Teachers in Lanzhou University of Technology(Q02018) |
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| 摘 要： | 本文引入了两种广义Pascal矩阵凡,Pn,k,Qn,k以及两种广义Pascal函数矩阵On,kx,y],Qn,kx,y],证明了Pascal矩阵能够表示成(0,1)-Jordan矩阵的乘积而且Pascal函数矩阵能分解成双对角矩阵的乘积.
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| 关 键 词： | Pascal矩阵 Pascal函数矩阵 Jordan分解 |
| 收稿时间： | 2001/9/15 0:00:00 |
Explicit Factorization of Pascal Matrices |
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| YANG Sheng-liang.Explicit Factorization of Pascal Matrices[J].Journal of Mathematical Research with Applications,2004,24(1):73-82. |
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| Authors: | YANG Sheng-liang |
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| Institution: | Dept. of Appl. Math.; Lanzhou University of Technology; Gansu; China |
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| Abstract: | In this paper, two kinds of generalized Pascal matrices Pn,k and Qn,k, and two kinds of generalized Pascal functional matrices On,kx,y] and Qn,kx,y] are introduced and studied. Factorization of Pascal matrices into products of (0,1) Jordan matrices is established. Factorization of Pascal functional matrices into products of bidiagonal matrices is obtained. |
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| Keywords: | Pascal matrix Pascal functional matrix Jordan factorization |
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