Several Theorems of Self-Conjugate Quaternions Matrices |
Received:February 13, 1986 |
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Abstract: |
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. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1988.03.004 |
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