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:
“In todays world parents find themselves at the mercy of a society which imposes pressures and priorities that allow neither time nor place for meaningful activities and relations between children and adults, which downgrade the role of parents and the functions of parenthood, and which prevent the parent from doing things he wants to do as a guide, friend, and companion to his children.”
—Urie Bronfenbrenner (b. 1917)