Consider function from Hilbert space to real numbers. $F(x)=\| Ax\|$. My question how to find it's derivative $F'(x)$.
Finding the derivative of the norm
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functional-analysis
derivatives
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0TeX: It's better to use \| instead of \parallel because of spacing. Compare: $\|Ax\|$ and $\parallel Ax\parallel$. Also, you cannot write \parallelAx\parallel, since TeX then interprets \parrallelAx as a single name of a macro. You can try \parallel{}Ax\parallel or \parallel Ax\parallel. – 2012-01-28