Consider a matrix valued function A(x)∈Rm×n, m≥n, smoothly depending on parameters x∈Ω⊂R2, where Ω is simply connected and bounded. We consider a technique to locate parameter values where some of the q dominant (q≤n) singular values of A coalesce, in the specific case when A is...

Consider the singular value decomposition (SVD) of a two-parameter function A(x), x∈Ω⊂R2, where Ω is simply connected and compact, with boundary Γ. No matter how differentiable the function A is (even analytic), in general the singular values lose all smoothness at points where they...