The singular values of a perturbed complex-valued matrix A+epsilon B + O(epsilon2) are shown to have singular values of the form sigmai(epsilon)=sigmai + kiepsilon + O(epsilon2). Explicit expressions for the ki coefficients are derived. The cases of zero singular values as well as multiple singular values are included in the analysis.
Available as compressed Postscript (71 kB, no cover), compressed Postscript (124 kB), and PDF (207 kB)
Download BibTeX entry.