Locating coalescing singular values of large two-parameter matrices

Luca Dieci, M. Grazia Gasparo, Alessandra Papini and Alessandro Pugliese

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 5, 996-1005

Abstract: 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 large and m>n≫q.

Keywords: Coalescing singular values; Two-parameter functions; Sparse matrices (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:5:p:996-1005

DOI: 10.1016/j.matcom.2010.10.005

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