Vector-valued Functions
If f is instead a function from, i.e.
then the array of second partial derivatives is not a two-dimensional matrix of size, but rather a tensor of order 3. This can be thought of as a multi-dimensional array with dimensions, which degenerates to the usual Hessian matrix for .
Read more about this topic: Hessian Matrix
Famous quotes containing the word functions:
“Let us stop being afraid. Of our own thoughts, our own minds. Of madness, our own or others’. Stop being afraid of the mind itself, its astonishing functions and fandangos, its complications and simplifications, the wonderful operation of its machinery—more wonderful because it is not machinery at all or predictable.”
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