Accession Number:

AD0604139

Title:

NON-NEGATIVE SQUARE MATRICES

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1952-08-11

Pagination or Media Count:

18.0

Abstract:

Non-negative indecomposable matrices are studied from the point of view of the Brouwer fixed point theorem a concise proof of their basic properties is thus obtained. Properties of a general non-negative square matrix A are derived from those of non-negative indecomposable matrices. Theorems about the matrix sI-A are proved they cover in a unified manner a number of results recurringly used in economics. A systematic study of the convergence of AP when p tends to infinity A is a general complex matrix is linked to combinatorial properties of non-negative square matrices.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE