Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139715 | Mathematics and Computers in Simulation | 2012 | 12 Pages |
Abstract
The aim is to contribute to pseudospectra computation via a path following technique. Given a matrix AâânÃn, we compute the branch consisting of a fixed singular value ϵ and corresponding left and right singular vectors of the parameter dependent matrix (x + iy)I â A. The fact that the branch corresponds to the smallest singular value Ïmin((x + iy)I â A) = ϵ is sufficient to verify at just one point of the branch due to the continuity argument. We can exploit a standard ready-made software.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Drahoslava Janovská, VladimÃr Janovský, Kunio Tanabe,