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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
Abstract.
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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