A new technique for computing analytic SVD is proposed. The idea is to follow branches for just one selected singular value and the corresponding left/right singular vector.
@article{702826, title = {Remark on computing the analytic SVD}, booktitle = {Programs and Algorithms of Numerical Mathematics}, series = {GDML\_Books}, publisher = {Institute of Mathematics AS CR}, address = {Prague}, year = {2006}, pages = {111-121}, url = {http://dml.mathdoc.fr/item/702826} }
Janovská, Dáša; Janovský, Vladimír. Remark on computing the analytic SVD, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2006), pp. 111-121. http://gdmltest.u-ga.fr/item/702826/