Invertibly convergent in nite products of matrices
نویسنده
چکیده
The standard de nition of convergence of an in nite product of scalars is extended to the in nite product P= n=1Bn of k × k matrices; that is, P is convergent according to the de nition given here if and only if there is an integer N such that Bn is invertible for n¿N and P= limn→∞ m=NBm is invertible. A family of su cient conditions for this kind of convergence is given, along with examples showing that they have nontrivial applications. c © 1999 Elsevier Science B.V. All rights reserved.
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