| 曹重光.四元数自共轭矩阵的几个定理[J].数学研究及应用,1988,8(3):346~348 |
| 四元数自共轭矩阵的几个定理 |
| Several Theorems of Self-Conjugate Quaternions Matrices |
| 投稿时间：1986-02-13 |
| DOI：10.3770/j.issn:1000-341X.1988.03.004 |
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| In this paper we disscus semi - positive definite self-conjugate matrices on quaternion. The following theorem is proved;Suppose A, B are both semi-positive difinite self-conjugate matrices of order n on quaternion. Then( 1 ) there exists P∈GLn(Q), such that(?).(2) AB and BA are both the centralizable matrices and they are similar to same a real diagonal matrix. |
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