THE STRUCTURE OF POWERS OF NON-NEGATIVE MATRICES,

Abstract

The structure of powers of a reducible non-negative matrix is discussed in terms of properties of the directed graph of the matrix. The constituents of a reducible matrix are irreducible, and the structure of powers of irreducible matrices has been considered. There is a discussion of the structure of the subdiagonal blocks in powers of reducible matrices.

Document Details

Document Type
Technical Report
Publication Date
Mar 17, 1964
Accession Number
AD0622856

Entities

People

  • A. L. Dulmage
  • N. S. Mendelsohn

Organizations

  • University of Manitoba

Tags

Communities of Interest

  • Energy and Power Technologies

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Theoretical Analysis.