The Antisymmetric Solutions Of Linear Matrix Equation
PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPPLICATIONS, VOL 1(2009)
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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