Orthogonality and its approximation in the analysis of asymmetry

Linear Algebra and Its Applications

Volumn 278, Issue 1-3, 1998, Pages 183-193

  Gower, J C ^a,c   Zeilman, B ^b  

^a OPEN UNIVERSITY   (United Kingdom)

^b LEIDEN UNIVERSITY   (Netherlands)

^c 1 Millbottom ^*  (United Kingdom)

Author keywords

Graphical representations of matrices; Matrix approximation; Orthogonal matrices; Skew symmetric matrices

Indexed keywords

EID: 11544307607     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)10090-8     Document Type: Article

References (7)

1. J.C. Gower, The analysis of asymmetry and orthogonality, in: J.R. Barra, F. Brodeuu, G. Romer, B. van Cutsem (Eds.), Recent Developments in Statistics. North-Holland, Amsterdam, 1977, pp. 109-123.
2. V. Eckart, G. Young, The approximation of one matrix by another of lower rank, Psychometrika 1 (1936) 211-218.
3. J. De Leeuw, W.J. Heiser, Theory of multidimensional scaling, in: P.R. Krishnaiah, L.N. Kanal (Eds.), Handbook of Statistics, vol. 2, North-Holland, Amsterdam, 1982, pp. 285-316.
4. J.C. Gower, B. Zielman, Some remarks on orthogonality in the analysis of asymmetry, RR-92-08, Department of Data Theory. Leiden, 1992, p. 22.
5. F.R. Gantmacher, The Theory of Matrices (two volumes). (K.A. Hirsch, Trans.), Chelsea Publishing Company, New York, 1959.
6. A.G. Constantine, J.C. Gower, Some properties and applications of simple orthogonal matrices, J. Inst. Math. Appl. 21 (1978) 445-454.
7. J. Levin, M. Brown, Scaling a conditional proximity matrix to symmetry, Psychometrika 44 (1979) 239-243.