Dear R users & Experts,

This is just a curiousity, I was wondering why the dominant eigenvetor and eigenvalue 
of the following matrix is given as the third. I guess this could complicate automatic selection 
procedures. 

0    0    0    0    0    5
1    0    0    0    0    0
0    1    0    0    0    0
0    0    1    0    0    0
0    0    0    1    0    0
0    0    0    0    1    0

Please copy & paste the following into R;

a=c(0,0,0,0,0,5,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0)
mat=matrix(a, ncol=6,byrow=T)
eigen(mat)

The matrix is a population matrix for a plant pathogen (Powell et al 2005).

Basically I would really like to know why this happens so I will know if it can occur 
again. 

Thanks for any comments,

Marco Visser


Comment: In Matlab the the dominant eigenvetor and eigenvalue 
of the described matrix are given as the sixth. Again no idea why.

reference

J. A. Powell, I. Slapnicar and W. van der Werf. Epidemic spread of a lesion-forming 
plant pathogen - analysis of a mechanistic model with infinite age structure. (2005) 
Linear Algebra and its Applications 298. p 117-140.  




       
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