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/