C. R. Math. Rep. Acad. Sci. Canada Vol. 28 (4) 2006, pp. 97–104
December 30, 2006
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 \(2\times2\).
AMS Subject Classification: Eigenvalues; singular values; and eigenvectors 15A18
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