| 杨胜良.Pascal矩阵的一种显式分解(英文)[J].数学研究及应用,2004,24(1):73~82 |
| Pascal矩阵的一种显式分解(英文) |
| Explicit Factorization of Pascal Matrices |
| 投稿时间：2001-09-15 |
| DOI：10.3770/j.issn:1000-341X.2004.01.014 |
| 中文关键词: Pascal矩阵 Pascal函数矩阵 Jordan分解 |
| 英文关键词:Pascal matrix Pascal functional matrix Jordan factorization. |
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| 中文摘要: |
| 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,k[x,y],Qn,k[x,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. |
| 英文摘要: |
| In this paper, two kinds of generalized Pascal matrices Pn,k and Qn,k, and two kinds of generalized Pascal functional matrices On,k[x,y] and Qn,k[x,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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