# Accession Number:

## AD0651247

# Title:

## SOME SPECTRAL PROPERTIES OF AN OPERATOR ASSOCIATED WITH A PAIR OF NON-NEGATIVE MATRICES.

# Descriptive Note:

## Technical summary rept.,

# Corporate Author:

## WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1967-02-01

# Pagination or Media Count:

## 21.0

# Abstract:

An operator--in general non-linear--associated with a pair of non-negative matrices, is defined and some of its spectral properties studied. If the pair of matrices are a square matrix A and the identity matrix of the same order, the operator reduces to the linear operator A. The results obtained include generalizations of one of the principal conclusions of the theorem of Perron-Frobenius. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics