(Received: 2007-02-07
)
(Received: 2007-02-07
)
D. Goldstein, Holon Institute of Technology, Holon 58102, Israel; email: dmitryg@hit.ac.il
I. Goldstein, Department of Mathematics, Ben-Gurion University, P. O. Box 653 Beer-Sheva 84105, Israel; email: ilyago@bgu.ac.il
Abstract/Résumé:
The averaged joint spectral radius (AJSR) is defined. By using the avalanche principle we develop an effective algorithm to compute the averaged joint spectral radius for a pair of \(2\times2\) matrices.
Nous introduisons la notion de rayon spectral moyen d’un ensemble fini de matrices. En utilisant le principe d’avalanche, nous développons un algorithme efficace pour calculer le rayon spectral moyen d’une paire de matrices de tailles \(2\times2\).
Keywords: avalanche principle, dilation equation, joint spectral radius
AMS Subject Classification:
Eigenvalues; singular values; and eigenvectors
15A18
PDF(click to download):
The Avalanche Principle: from Joint to Averaged Joint Spectral Radius