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1
vote
Norm bound on eigen-vector change caused by rank-one update
A tiny change can result in a shift of the dominant eigenvalue's eigenspace to something that is completely orthogonal to the dominant eigenvalue's eigenspace of $A$.
For example, let
$A=I-\epsil …
3
votes
Optimizing directly on the eigenspectrum of a matrix
Many (but not all) problems involving the eigenvalues of a graph are convex optimization problems that can be formulated as semidefinite programming problems. There are a number of "tricks" that you …