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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 25, Fasc. 2,
pages 223 - 229
 

GENERALIZED SEPARATION THEOREMS FOR SINGULAR VALUES OF A MATRIX AND THEIR APPLICATIONS IN CANONICAL CORRELATION ANALYSIS

C. Xie
R. S. Singh
B. Smith
X. Lu

Abstract: Rao (1979) established separation theorems for singular values of a matrix and showed their applications in multivariate analysis. In this paper, we provide generalized separation theorems for singular values of a matrix and use them to find some interesting relations between canonical correlations and conditional canonical correlations.

2000 AMS Mathematics Subject Classification: 62H20, 15A18.

Key words and phrases: Canonical correlations, conditional canonical correlations, singular values.

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