| The Self-Conjugate Solutions of Quaternion Matrix Equation |
| Received:November 22, 2000 |
| Key Words:
the Moore-Penrose inverse self-conjugate matrix subspace
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| Abstract: |
| By using of Moore-Penrose inverse and Matrix Decomposition, the necessary and sufficient conditions for the existence of the Self-conjugate matrix solutions over subspace for quaternion matrix equation XB = D are obtained together with the general forms of such solutions, and more, the necessary and sufficient conditions are obtained for matrix equation AXB = D to have Self-conjugate matrix splutions, along with the expression for general common solutions. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2003.02.028 |
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