[1]刘江国.广义特征子空间与Jordan链：构造Jordan标准形的一个新途径[J].郑州大学学报(工学版),1994,15(03):76-86.
Liu Jiangguo.Broadly featured features and Jordan chain: a new way to construct the standard shape of Jordan[J].Journal of Zhengzhou University (Engineering Science),1994,15(03):76-86.
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广义特征子空间与Jordan链：构造Jordan标准形的一个新途径(
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]
- 卷:
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15
- 期数:
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1994年03期
- 页码:
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76-86
- 栏目:
-
- 出版日期:
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1994-09-28
文章信息/Info
- Title:
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Broadly featured features and Jordan chain: a new way to construct the standard shape of Jordan
- 作者:
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刘江国
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郑州工学院数力系
- Author(s):
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Liu Jiangguo
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Zhengzhou Institute of Technology Digital Power Department
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- 关键词:
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广义特征子空间; Jordan链; Jordan标准形
- Keywords:
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Broadly featured feature space; jordan chain; Jordan standard shape
- 文献标志码:
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A
- 摘要:
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本文从Ｃａｙｌｅｙ－Ｈａｍｉｌｔｏｎ定理出发，讨论了特征（最小）多项式的因式分解与空间的不变子空间直和分解之间的关系。据此，引入了广义特征子空间序列ｎｕｌｌ（Ｔ一λ０Ｉ）′及Ｊｏｒｄａｎ链的概念，并深入讨论了它们的性质。由此得到了一个构造Ｊｏｒｄａｎ标准形的新方法。新方法简洁、高效，可以方便地在计算机上实现，与传统的由初等因子构造Ｊｏｒｄａｎ标准形的方法相比较，优越许多。
- Abstract:
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This article starts from the theorem of CayLey -Hamilton, and discusses the relationship between the factor decomposition of the characteristic (minimum) polynomium and the unspoken space and decomposition of the space. Based on this, the concepts of the broad features space sequence NULL (T One λ0i) and the JORDAN chain are introduced, and their properties are discussed in depth. As a result, a new method of constructing JORDAN standard shape is obtained. The new method is simple and efficient, which can be easily implemented on the computer. Compared with the traditional method of constructing the standard shape of the JORDAN standard, it is much better.
更新日期/Last Update:
1900-01-01