Computation of Pseudospectra via a Continuation.

Autor: Janovská, Drahoslava, Janovský, Vladimír, Tanabe, Kunio
Předmět:
Zdroj: AIP Conference Proceedings; 9/15/2008, Vol. 1048 Issue 1, p294-297, 4p, 3 Graphs
Abstrakt: Given a matrix A∈Cn×n, we compute the branch consisting of a fixed singular value [variant_greek_epsilon] and corresponding left and right singular vectors of parameter dependent matrix (x+iy)I-A. The fact that the branch corresponds to the smallest singular value σmin((x+iy)I-A) = [variant_greek_epsilon] is sufficient to verify at just one point of the branch due to continuity argument. We can exploit standard ready-made software. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index