Publication Date:
2009-01-01
Description:
We study how singular values and singular vectors of a matrixAchange, under matrix perturbations of the formA+αuivi∗andA+αupvq∗,p≠q, whereα∈ℝ,Ais anm×npositive matrix with singular valuesσ1≥σ2≥⋯≥σr〉0,r=min{m,n}, anduj,vk, j=1,…,m;k=1,…,n, 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.
Print ISSN:
1024-123X
Electronic ISSN:
1563-5147
Topics:
Mathematics
,
Technology