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An Equivalence Relation for Two Symmetric Idempotent Matrices

Published online by Cambridge University Press:  11 February 2009

Simo Puntanen ,
George P.H. Styan  and
Fuzhen Zhang
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Abstract

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Type
Solutions
Information
Econometric Theory , Volume 12 , Issue 3 , August 1996 , pp. 590 - 592
Copyright
Copyright © Cambridge University Press 1996

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References

REFERENCES

Hogg, R.V. & Craig, A.T. (1958) On the decomposition of certain 2 variables. Annals of Mathematical Statistics 29, 608–610.CrossRefGoogle Scholar
Makelainen, T. & Styan, G.P.H. (1976) A decomposition of an idempotent matrix where nonnegativity implies idempotence and none of the matrices need be symmetric. Sankhya A 38, 400–403.Google Scholar
Ogasawara, T. & Takahashi, M. (1951) Independence of quadratic quantities in a normal system. Journal of Science of the Hiroshima University A 15, 1–9.Google Scholar
Stepniak, C. (1985) Ordering of nonnegative definite matrices with application to comparison of linear models. Linear Algebra and Its Applications 70, 67–71.CrossRefGoogle Scholar