| 有限维线性空间直和分解问题的新探索 |
| |
| 引用本文： | 张宝善,沈雁.有限维线性空间直和分解问题的新探索[J].南京金融高等专科学校学报,2010(4):78-81. |
| |
| 作者姓名： | 张宝善 沈雁 |
| |
| 作者单位： | 南京审计学院数学与统计学院,江苏南京210029 |
| |
| 基金项目： | 南京审计学院硕士点建设项目（202720035） |
| |
| 摘 要： | 线性空间直和分解问题在数学、力学及许多应用领域有着广泛的应用。本文利用哈密尔顿-凯莱定理得到了n维向量空间的一个适用范围更为广泛的直和分解定理和一些重要推论,拓展了向量空间直和分解使用范围,通过范例说明直和分解的具体方法和实际过程。
|
| 关 键 词： | n维线性空间 哈密尔顿-凯莱定理 直和分解 |
A New Probe to Direct Sum Decomposition Problem for Finite Dimension of Linear Space |
| |
| ZHANG Bao-shan,SHEN Yan.A New Probe to Direct Sum Decomposition Problem for Finite Dimension of Linear Space[J].Journal of Nanjing Higher Finance College,2010(4):78-81. |
| |
| Authors: | ZHANG Bao-shan SHEN Yan |
| |
| Institution: | (School of Mathematics and Statistics,Nanjing Audit University,Nanjing 210029,China) |
| |
| Abstract: | The direct sum decomposition for finite dimension of linear space has a wide application in mathematics,mechanics and other applied areas.This paper provides a new theorem for the direct sum decomposition,and proves a direct sum decomposition theorem for finite dimension of linear space by the Cayley-Hamilton theorem.And in its application,it deduces the well-known direct sum decomposition theorem.Finally,two examples are discussed to illustrate the methods of direct sum decomposition. |
| |
| Keywords: | the nth dimension of linear space the Cayley-Hamilton theorem direct sum decomposition |
| 本文献已被 维普 等数据库收录！ |
|
