ON THE CHARACTERISTIC ROOTS OF POWER-POSITIVE MATRICES

Abstract

A matrix with real elements is called powerpositive if a power of it is positive. It is shown that the most important properties of the characteristic roots of positive matrices also hold for power-positive matrices. In particular, the absolute greatest root of a power-positive matrix can be computed as exactly as needed without finding the characteristic equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1960
Accession Number
AD0256215

Entities

People

  • Alfred Brauer

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Equations

Fields of Study

  • Mathematics

Readers

  • Linear Algebra