DOI Number : 10.5614/itbj.sci.2009.41.2.1
Hits : 39

On Eigenvalues and Eigenvectors of Perturbed

Pudji Astuti1 & Agah D. Garnadi2

1Algebra Research Group, FMIPA ITB, Indonesia

2Scientific Computing Research Group, Dept. Mathematics, FMIPA IPB, Indonesia


This work studied eigenvalues and eigenvectors of a class of perturbed pairwise comparison matrices (PCMs). This type of matrices arises from Analytical Hierarchical Process with inconsistency comparison. By employing some nice structures of the PCMs, we show that the object dimension of size n 3 can be reduced into a case of size 3, hence simplify the studies.

Keywords: pairwise comparison matrix, principal eigenvalue and eigenvector, image, kernel.

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