| 用若当链构成分块矩阵计算若当标准形与相似变换矩阵 |
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| 引用本文： | 黄小玉,李大林,黄雪燕. 用若当链构成分块矩阵计算若当标准形与相似变换矩阵[J]. 大学数学, 2012, 28(2): 54-58. DOI: 10.3969/j.issn.1672-1454.2012.02.014 |
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| 作者姓名： | 黄小玉 李大林 黄雪燕 |
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| 作者单位： | 1.广西机电职业技术学院人文科学系,广西南宁,530007;2.柳州职业技术学院基础部,广西柳州,545006;3.钦州学院数学与计算机科学系,广西钦州,535000 |
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| 摘 要： | 复数域上亏损矩阵的广义特征子空间的基的每个向量生成若当链,构成分块矩阵,施以初等变换,可求出若当基.获得若当标准形与相似变换矩阵的新算法.
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| 关 键 词： | 若当标准形 亏损矩阵 相似变换矩阵 若当链 初等变换 |
Computation of Jordan Canonical Form and Transition Matrix by Block Matrix Formed with Jordan Chains |
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| HUANG Xiao-yu,LI Da-lin,HUANG Xue-yan. Computation of Jordan Canonical Form and Transition Matrix by Block Matrix Formed with Jordan Chains[J]. College Mathematics, 2012, 28(2): 54-58. DOI: 10.3969/j.issn.1672-1454.2012.02.014 |
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| Authors: | HUANG Xiao-yu LI Da-lin HUANG Xue-yan |
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| Affiliation: | 1.The Department of Humanities,Guangxi Technological College of Machinery and Electricity, Nanning,Guangxi 530007,China; 2.Dept.of Basic Courses,Liuzhou Vocational Institute of Technology,Liuzhou 545006,China; 3.Department of Mathematics and Computing Science,Qinzhou College,Qinzhou 535000,China) |
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| Abstract: | By elementary transformations,a Jordan basis is got with a block matrix which is formed by the Jordan chains generated by every vector in a basis of the generalized eigensubspace of a defective matrix in complex field.A new arithmetic is given to compute the Jordan canonical form and transition matrix. |
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| Keywords: | Jordan canonical form defective matrix transition matrix Jordan chain elementary transformation |
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