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arXiv · 1103.3945

On The Best Approximate Solutions of The Matrix Equation $AXB=C$

Halim Özdemir·Murat Sarduvan
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Abstract

Suppose that the matrix equation $AXB=C$ with unknown matrix $X$ is given, where $A$, $B$, and $C$\ are known matrices of suitable sizes. The matrix nearness problem is considered over the general and least squares solutions of the matrix equation $AXB=C$ when the equation is consistent and inconsistent, respectively. The implicit form of the best approximate solutions of the problems over the set of symmetric and the set of skew-symmetric matrices are established as well. Moreover, some numerical examples are given for the problems considered.

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Halim Özdemir, Murat Sarduvan. 2011-03-21. On The Best Approximate Solutions of The Matrix Equation $AXB=C$. https://arxiv.org/abs/1103.3945

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