Locating coalescing singular values of large two-parameter matrices

Authors:
Luca Dieci;M. Grazia Gasparo;Alessandra Papini;Alessandro Pugliese
Affiliations:
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA;Dep. Energetica S. Stecco, Univ. of Florence, via C. Lombroso 6/17, 50134 Florence, Italy;Dep. Energetica S. Stecco, Univ. of Florence, via C. Lombroso 6/17, 50134 Florence, Italy;Dip. Matematica, Univ. of Bari, Via Orabona 4, 70125 Italy
Venue:
Mathematics and Computers in Simulation
Year:
2011

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Abstract

Abstract: Consider a matrix valued function A(x)@?R^m^x^n, m=n, smoothly depending on parameters x@?@W@?R^2, where @W 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 mn@?q.