Publication at Faculty of Mathematics and Physics |
2010
Abstract
A new technique for computing Analytic SVD is proposed. The idea is to follow a branch of just one simple singular value and the corresponding left/right singular vector.
Numerical computation may collaps at non-generic points: The particular case when the continuation get stuck due to a nonzero multiple singular value is considered. Such a point is interpreted as a singularity of the branch.
The Singularity Theory is employed in order to describe and classify this point.