While the tone sounds like a university webpage advertising its scholars' results, this does seem to be an interesting viewpoint. (Unless similar viewpoints hav

While the tone sounds like a university webpage advertising its scholars' results, this does seem to be an interesting viewpoint. (Unless similar viewpoints have been proposed before.) This also reminds me of the QR iteration, where you loose track of the matrix entries very quickly (after 2 or 3 steps into the iteration), but in the end the diagonal does converge to the eigenvalues.