Copyright © 2009 Emedin Montaño et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study how singular values and singular vectors of a matrix change, under matrix perturbations of the form and , , where , is an positive matrix with singular values , and , are the left and right singular vectors,
respectively. In particular we give conditions under which this kind of
perturbations preserve nonnegativity and certain matrix structures.