Yeah, I'm after something like you've described, Hilbert2.
Let me describe the big picture of the question for which I've been looking for an answer.
Given a non-normalized Laplacian matrix L of a Graph (this matrix is a symmetric real-valued matrix - a special case of Hermitian matrices)...
Thanks, AlephZero.
I've just had a quick glimpse over it and suspect it looks like being far more than I expect, indeed. However, among the links for similar theorems at the bottom of that page, there is the Perron–Frobenius theorem, which appears to be a good clue towards the right track...
Hi, folks
I have had a hard time to find out whether or not there is a theorem in Linear Algebra or Spectral Theory that makes any strong statement about the relationship between the entries of a Matrix and its Eigenvalues and Eigenvectors.
Indeed, I would like to know how is the...