𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Convergence to Zero of Infinite Products of Interval Matrices

✍ Scribed by Guu, Sy-Ming; Pang, Chin-Tzong


Book ID
118216031
Publisher
Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
173 KB
Volume
25
Category
Article
ISSN
0895-4798

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Invertibly convergent infinite products
✍ William F. Trench πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 338 KB

The standard definition of convergence of an infinite product of scalars is extended to the infinite product P = II~B, of k x k matrices; that is, P is convergent according to the definition given here if and only if there is an integer N such that Bn is invertible for n ~>N and P = lim,~ II~,=uBm i

On the semi-convergence of interval matr
✍ Hans-Robert Arndt; GΓΌnter Mayer πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 284 KB

We derive a necessary and sufficient criterion for the convergence of powers of interval matrices [A] to a limit which may differ from O. Generalizing former results we allow now the absolute value |[A]| of [A] to be reducible with minor additional restrictions.

Invertibly convergent infinite products
✍ W.F. Trench πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 335 KB

The standard definition of convergence of an infinite product of scalars is extended co B to the infinite product P = ~m=l m of k Γ— k matrices; that is, P is convergent according to the definition given here if and only if there is an integer N such that Bm is invertible for m > N and P = limn~co I