Nonlinear matrix iterative processes and generalized coefficients of ergodicity

Authors
Artzrouni, M Gavart, O
Citation
M. Artzrouni et O. Gavart, Nonlinear matrix iterative processes and generalized coefficients of ergodicity, SIAM J MATR, 21(4), 2000, pp. 1343-1353
Citations number
9
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
ISSN journal
08954798 → ACNP
Volume
21
Issue
4
Year of publication
2000
Pages
1343 - 1353
Database
ISI
SICI code
0895-4798(20000516)21:4<1343:NMIPAG>2.0.ZU;2-0
Abstract
A nonlinear matrix iterative process is a linear dynamical system for which there is a nonlinear feedback of the current vector on the entries of the matrix. Stability conditions for an asymptotically exponential solution are studied for such a process in the positive quadrant of R-n. The results hi nge on a generalization of the coefficient of ergodicity of a nonnegative m atrix.