Invertibly convergent infinite products
✍
William F. Trench
📂
Article
📅
1999
🏛
Elsevier Science
🌐
English
⚖ 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