On the unsolvability of inverse singular value problems almost everywhere
Xiao Shan Chen, Hai‐Wei Sun · Linear and Multilinear Algebra · 2018
In this paper, the unsolvability of inverse singular value problems almost everywhere is discussed. Applying the method described by Sun and Ye [J Comput Math. 1986;4:212–226], a sufficient condition is given such that the inverse singular value problems are unsolvable almost everywhere. This result shows that inverse singular value problems are unsolvable almost everywhere if the multiplicity of zero singular values is sufficiently large.