Data Perturbations of Matrices of Pairwise Comparisons

Annals of Operations Research

Volumn 101, Issue 1-4, 2001, Pages 401-425

  Farkas, András ^a   Rózsa, Pál ^b  

^a IMC Graduate School of Business   (Hungary)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042788735     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1023/A:1010986321720     Document Type: Article

References (21)

1. T.W. Anderson, An Introduction to Multivariate Statistical Analysis (Wiley, 1958).
2. J.S. Bendat and A.G. Piersol, Measurement & Analysis of Random Data (Wiley, 1966).
3. S. Choi, Principal component analysis of seismic data and direction of the principal component for seismic record, Research Report, No. 181, Teledyne Inc., USA (1967).
4. J. Ding and W.C. Pye, On the spectrum and pseudoinverse of a special bordered matrix, Linear Algebra and its Applications 333 (2001) 11-20.
5. C.J. Dodds and J.D. Robson, The description of road surface roughness, Journal of Sound Vibrations 26 (1973) 175-183.
6. R. Dorfman, P.A. Samuelson and R.M. Solow (DOSSO), Linear Programming and Economic Analysis (McGraw-Hill, 1958).
7. L. Elsner and P. Rózsa (1981), On eigenvectors and adjoints of modified matrices, Linear and Multilinear Algebra 10 (1981) 235-247.
8. A. Farkas, P. Rózsa and E. Stubnya, Transitive matrices and their applications, Linear Algebra and its Applications 302-303 (1999) 423-433.
9. R.A. Horn and C.R. Johnson, Matrix Analysis (Cambridge University Press, 1985).
10. T.L. Saaty, A scaling method for priorities in hierarchical structures, Journal of Math. Psychology 15 (1977) 234-281.
11. T.L. Saaty, Axiomatic foundation of the analytic hierarchy process, Management Sci. 32 (1986) 841-855.
12. T.L. Saaty, The analytic hierarchy process - what it is and how it is used, Mathematical Modeling 9 (1987) 161-176.
13. J. Sherman and W.J. Morrison, Adjustment of an inverse matrix corresponding to changes in a given column or a given row of the original matrix, Ann. Math. Statist. 21 (1949) 124-121.
14. R.M. Solow and P.A. Samuelson, A balanced growth under constant returns to scale, Econometrica 21 (1953) 172-186.
15. A.E. Steenge, Saaty's consistency analysis: an application to problems in static and dynamic input-output models, Socio-Economic Planning Sciences 20 (1986) 173-180.
16. D. Stojanović, The model based on the matrix of economic growth, Socio-Economic Planning Sciences 18 (1984) 167-169.
17. A. Takayama, Mathematical Economics (The Dryden Press, 1974).
18. J. Tsukui, On a theorem of relative stability, International Economic Review 2 (1961) 240-246.
19. J.H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, 1965).
20. M.A. Woodbury, Inverting modified matrices, Memorandum Report, 42, Statistical Research Group, Institute for Advanced Study, Princeton, USA (1950).
21. I. Zobory, Dynamic processes in the drive systems of railway traction vehicles in the presence of excitation caused by unevennesses in the track, in: Proceedings of the 9th IAVSD-Symposium, ed. B.V. Zeitlinger, Lisse (1986) pp. 635-648.