| 两个实对称矩阵可同时合同对角化的条件 |
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| 引用本文： | 罗高骏,周良.两个实对称矩阵可同时合同对角化的条件[J].湖北师范学院学报(自然科学版),2014(2):61-64. |
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| 作者姓名： | 罗高骏 周良 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石435002 |
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| 摘 要： | 矩阵对角化是高等代数研究的重要课题之一。对于一个矩阵对角化的问题,许多文章已得到了很好的结果。给出了一系列两个实对称矩阵可同时合同对角化的充分和充要条件。
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| 关 键 词： | 实对称矩阵 同时合同对角化 对角矩阵 |
The conditions for simultaneously congruent diagonalization of two real symmetric matrices |
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| LUO Gao-jun,ZHOU Liang.The conditions for simultaneously congruent diagonalization of two real symmetric matrices[J].Journal of Hubei Normal University(Natural Science),2014(2):61-64. |
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| Authors: | LUO Gao-jun ZHOU Liang |
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| Institution: | (College of Mathematics and Statistics, Hubei Normal University,Huangshi 435002, China) |
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| Abstract: | The diagonalization of matrices is one of the important topic in the field of advanced algebra. For the diagonalization of a matrix,many articles have got good results. This paper gives a series of sufficient and necessary conditions and sufficient conditions for simultaneously congruent diagonalization of two real symmetric matrices. |
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| Keywords: | real symmetric matrix simultaneously congruent diagonalization diagonalizable matrix |
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