Hello all, I have a simple question about the capabilities of Sage that I have not been able to resolve by looking at the documentation. I often find myself manipulating somewhat complex functions that take vector arguments. I then need to derive gradients, hessians, etc. I need to do this with out knowing the dimensions of the vectors. So for example, what I would like to do is something like the following. First, I would define the function f(x)=.5 * x' * A * x + b, perhaps something like:
A = matrix(); x = vector(); b = vector(); f = function( x' * A * x + b); Then, I would like Sage to do the calculus for me, something like, say: f.gradient() sage) 2*A*x f.hessian() sage) A (Of course, I wouldn't bother using a computer algebra system for such a simple function, but you get the idea.) My question is: can Sage do things like this? I would like to avoid specifying the dimensions of x, or giving the entries of A when I define the function. Thanks! Justin --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
