Hessian Matrix - Vector-valued Functions

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:

    “Those things which now most engage the attention of men, as politics and the daily routine, are, it is true, vital functions of human society, but should be unconsciously performed, like the corresponding functions of the physical body.”
    —Henry David Thoreau (1817–1862)