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The Antisymmetric Solutions Of Linear Matrix Equation

Guanghui Fan,Aijing Liu, Xuehan Chang

PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPPLICATIONS, VOL 1（2009）

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Abstract
On the basis of the matrix vector function, the matrix partial vector function was defined. By using the Moore-Penrose inverse and the properties of Kronecker product, the structure and properties of the antisymmetric solutions of matrix equation Sigma(k)(i=1)A(i)XB(i) = C were studied. Moreover, the relevant iterative algorithm is proposed, and an example is given to verify the effectivity of the given algorithm.
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Key words
matrix equation, Moore-Penrose inverse, vector function, antisymmetric matrix
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