SOME SPECTRAL PROPERTIES OF AN OPERATOR ASSOCIATED WITH A PAIR OF NON-NEGATIVE MATRICES.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1967
- Accession Number
- AD0651247
Entities
People
- M. V. Menon
Organizations
- University of Wisconsin–Madison