Chapter 9. Non-Negative Vectors and Matrices

  1. George A. F. Seber

Published Online: 8 JUN 2007

DOI: 10.1002/9780470226797.ch9

A Matrix Handbook for Statisticians

A Matrix Handbook for Statisticians

How to Cite

Seber, G. A. F. (2007) Non-Negative Vectors and Matrices, in A Matrix Handbook for Statisticians, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470226797.ch9

Author Information

  1. Department of Statistics University of Auckland, Auckland, New Zealand

Publication History

  1. Published Online: 8 JUN 2007
  2. Published Print: 7 NOV 2007

ISBN Information

Print ISBN: 9780471748694

Online ISBN: 9780470226797



  • non-negative vectors;
  • non-negative matrices;
  • nonzero matrix;
  • dominant eigenvalue;
  • canonical forms


This chapter contains sections titled:

  • Introduction

  • Spectral Radius

  • Canonical Form of a Non-negative Matrix

  • Irreducible Matrices

  • Leslie Matrix

  • Stochastic Matrices

  • Doubly Stochastic Matrices