Recent content by nigelvr

I would like to find an expression for the fixed points, if they exist. If they happen to not exist, then I would like a proof of that. It isn't really a homework question, the prof just asked us to think about finding the fixed points of e^x. The thing is though, the course doesn't assume we...

Homework Statement How would one go about finding the fixed points of e^z, where z is complex (i.e. all z s.t. e^z = z)? Homework Equations Nothing. The Attempt at a Solution I've considered all the relevant formulas (de Moivre's formula, power series, z = re^i*theta, ...). For some reason...

If you've got an inner product in that vector space, maybe you can check whether <Mx, x> > 0 for all x in the space. This implies that a matrix is positive definite in a finite dimensional space (if by positive definite you mean hermitian with non-negative eigenvalues). Not sure if it works in...