On Eigenvalues and Eigenvectors of Perturbed | Zendy

Pudji Astuti | Zendy; Agah D. Garnadi | Zendy

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On Eigenvalues and Eigenvectors of Perturbed

Author(s) -

Pudji Astuti,

Agah D. Garnadi

Publication year - 2009

Publication title -

itb journal of sciences

Language(s) - English

Resource type - Journals

ISSN - 1978-3043

DOI - 10.5614/itbj.sci.2009.41.2.1

Subject(s) - eigenvalues and eigenvectors , dimension (graph theory) , pairwise comparison , mathematics , defective matrix , eigenvalue perturbation , class (philosophy) , matrix differential equation , modal matrix , pure mathematics , mathematical analysis , physics , computer science , statistics , symmetric matrix , diagonalizable matrix , quantum mechanics , artificial intelligence

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 3 n can be reduced into a case of size 3, hence simplify the studies.

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