how to proof the sabinvariance theorem?

## Primary tabs

# how to proof the sabinvariance theorem?

Submitted by ycb17 on Fri, 05/07/2004 - 17:22

Forums:

the sabinvariance theorem:

Let T be a non-negative irreducible matrix,s a positve number.and y>=.=0.a vector satisfying Ty<=sy.

Then (a) y>0;(b)s>=r,where r is the Perron-Frobenius eigenvalue of T.

Moreover,s=r if and only if Ty=sy.

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff

## Recent Activity

Sep 28

new question: how to contest an entry? by zorba

new question: simple question by parag

Sep 26

new question: Latent variable by adam_reith

Sep 17

new question: Harshad Number by pspss

Sep 14

new problem: Geometry by parag

new question: how to contest an entry? by zorba

new question: simple question by parag

Sep 26

new question: Latent variable by adam_reith

Sep 17

new question: Harshad Number by pspss

Sep 14

new problem: Geometry by parag