Diagonal One of Real Anti-sub-symmetric Matrix

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Diagonal One of Real Anti-sub-symmetric Matrix

更新时间：2026-05-27

- Diagonal One of Real Anti-sub-symmetric Matrix
- Vol. 22, Issue 3, Pages: 116-120(2005)
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- Online First：02 July 2005，
  
  Published：2005
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陶鲜花. 实反次对称矩阵的对角化[J]. 广东工业大学学报, 2005, 22(3): 116-120.

TAO Xian-hua. Diagonal One of Real Anti-sub-symmetric Matrix[J]. 2005, 22(3): 116-120.
陶鲜花. 实反次对称矩阵的对角化[J]. 广东工业大学学报, 2005, 22(3): 116-120. DOI：

TAO Xian-hua. Diagonal One of Real Anti-sub-symmetric Matrix[J]. 2005, 22(3): 116-120. DOI：

摘要

讨论了实反次对称矩阵的次特征值与次特征向量的性质及实反次对称矩阵的对角化问题.得到了如下结论:若A为实反次对称矩阵

则存在正交矩阵P

用P、P的次转置矩阵PST分别右乘和左乘A

即可使之成为一个对角矩阵.

Abstract

The paper has discussed such problims as the properties of sub-eigenvalue and sub-eigenvector of real-anti-sub-symmetric matrix

and its diagonalization.Based on the above

the following result could be approached:If Ais a realanti-sub-symmetric matrix

then there exists a perpendicular matrix P.Multiplied with P and its reversal PSTfrom the right and the left respectively

the matrix will become a diagonalmatrix.

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references

曹莉莉. 次厄米特矩阵的次正定性[J]. 重庆师范学院学报(自然科学版). 1996(03)

戴华编著.矩阵论[M]. 科学出版社, 2001

骆承钦主编.线性代数[M]. 高等教育出版社, 1999

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