PF_eig {CGE}

P-F (i.e. Perron-Frobenius) Eigenvalue and Eigenvector

Description

This function computes the P-F (i.e. Perron-Frobenius) eigenvalue and eigenvector of an indecomposable nonnegative square matrix.

Usage

PF_eig(M)

Arguments

M

an indecomposable nonnegative square matrix.

Value

PF_eig returns a list containing the following components:

val

the P-F eigenvalue of M.

vec

the normalized P-F eigenvector of M.

Author(s)

LI Wu <[e-mail]>

References

Horn, R. A., Johnson, C. R. (2012, ISBN: 0521548233) Matrix Analysis. Cambridge University Press.

Examples

M<-matrix(c(0.5,1,
            1,  0),2,2,TRUE)
PF_eig(M)