Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On The Best Approximate Solutions of The Matrix Equation $AXB=C$   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.

34
The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn