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:

    The English masses are lovable: they are kind, decent, tolerant, practical and not stupid. The tragedy is that there are too many of them, and that they are aimless, having outgrown the servile functions for which they were encouraged to multiply. One day these huge crowds will have to seize power because there will be nothing else for them to do, and yet they neither demand power nor are ready to make use of it; they will learn only to be bored in a new way.
    Cyril Connolly (1903–1974)