0
$\begingroup$

Recently I've been learning Matrix perturbation theory. Many theorems deal with perturbation bound in $l_2$ norm, or more generally, unitarily invariant norm, like F-norm or others(Like Davis-Kahan's Sin$\Theta$ theorem). Here is my question, is there a direct $l_1$ bound for the eigenvectors under the assumptions that the original matrix is perturbed in terms of $l_1$ norm? Note the result of $l_2$ norm shouldn't be used, since there's equivalence in these norms.

Appreciate any hint provided!

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.