Accession Number:
AD0604155
Title:
A NOTE ON PRIMITIVE MATRICES
Descriptive Note:
Corporate Author:
RAND CORP SANTA MONICA CA
Personal Author(s):
Report Date:
1952-11-12
Pagination or Media Count:
6.0
Abstract:
Suppose that A is a square matrix consisting of nonnegative elements. In certain considerations it is important to know when all the elements of some power of A are strictly positive. Frobenius gave a very simple necessary and sufficient condition for this to happen. In this paper a simple proof of this result is given. This proof is algebraic in nature and avoids the use of the convergence of powers of a matrix.
Descriptors:
Subject Categories:
- Numerical Mathematics