I have problems with finding a definition for the derivation of a matrix function F(X) with $F: \mathbb{R}^{n\times m} \rightarrow \mathbb{R}^{p\times q} $ All I know is the derivation of vector functions.
what's the definition of the derivation of matrix function F(X)?
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matrices
derivatives
matrix-calculus
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1Do you know the concept of total / frechet derivative? – 2017-02-25
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0$\Bbb R^{n\times m}$ is a vector space of dimension $nm$. $\Bbb R^{p\times q}$ is a vector space of dimension $pq$. $F$ is a vector function. Your derivation of vector functions is the derivative. Everything else is just a matter of how to interpret the result. – 2017-02-25
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0Take a look at http://math.stackexchange.com/a/2138449/339790 – 2017-02-26