Given a real matrix valued function A(x) of dimension m×n, m≥n, smoothly depending on parameters x ∈D⊂ R^2, where D 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 large and m> n>>q.
Locating coalescing singular values of large two parameters matrices / L. DIECI; M.G. GASPARO; A. PAPINI; A. PUGLIESE. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - STAMPA. - 81:(2011), pp. 996-1005. [10.1016/j.matcom.2010.10.005]
Locating coalescing singular values of large two parameters matrices
GASPARO, MARIA GRAZIA;PAPINI, ALESSANDRA;
2011
Abstract
Given a real matrix valued function A(x) of dimension m×n, m≥n, smoothly depending on parameters x ∈D⊂ R^2, where D 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 large and m> n>>q.
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