Directional instability in the eigenvectors of positive reciprocal matrices

Directional instability in the eigenvectors of positive reciprocal matrices

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Article ID: iaor20012458
Country: United Kingdom
Volume: 8
Issue: 4
Start Page Number: 200
End Page Number: 205
Publication Date: Jul 1999
Journal: Journal of Multi-Criteria Decision Analysis
Authors: ,
Abstract:

This article addresses the issues of rank stability and ‘bilateral’ consistency that arise when a matrix-based decision analysis procedure is perceived as capable of yielding more than one weighting vector, for example, both a right and component-wise inverted left eigenvector. Simple directional constraints that characterize both of the above issues are presented.

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