Whether the majorization betweeen diagonal lements and eigenvalues of a special rank 1 perturbation matrix still holds?

It is well-know that for a Hermitian matrix the diagonal elements are majorized by the eigenvalues. Let M be a Hermitian matrix with eigenvalues \lambda_1, ..., \lambda_n and x a real eigenvector...

14 February 2023 6,770 1 View