A note on computation of pseudospectra
The aim is to contribute to pseudospectra computation via a path following technique. Given a matrix A is an element of C-n x n, we compute the branch consisting of a fixed singular value c and corresponding left and right singular vectors of the parameter dependent matrix (x+ i gamma)I - A. The fact that the branch corresponds to the smallest singular value sigma(min)((x+i gamma)I - A) = is an element of is sufficient to verify at just one point of the branch due to the continuity argument. We can exploit a standard ready-made software. (c) 2012 IMACS. Published by Elsevier By. All rights reserved.
path following continuation pseudospectrum