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Directional instability in the eigenvectors of positive reciprocal matrices
Author(s) -
Donegan H.A.,
McMaster T.B.M.
Publication year - 1999
Publication title -
journal of multi‐criteria decision analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.462
H-Index - 47
eISSN - 1099-1360
pISSN - 1057-9214
DOI - 10.1002/(sici)1099-1360(199907)8:4<200::aid-mcda245>3.0.co;2-0
Subject(s) - eigenvalues and eigenvectors , reciprocal , weighting , rank (graph theory) , consistency (knowledge bases) , matrix (chemical analysis) , simple (philosophy) , instability , mathematics , stability (learning theory) , computer science , combinatorics , discrete mathematics , physics , philosophy , epistemology , machine learning , linguistics , materials science , quantum mechanics , acoustics , mechanics , composite material
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. Copyright © 1999 John Wiley & Sons, Ltd.