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References

A

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Anderson. E., Bai, Z., Bischof, C., Blackford, S., Demmel, J., Dongarra, J., Du Croz, J., Greenbaum, A., Hammarling, S., McKenney, A. Sorensen, D. (1999). LAPACK Users' Guide , 3rd Edition. SIAM. (Available at http://www.netlib.org/lapack/lug/lapack_lug.html ).

B

Bates, D.M., Watts, D.G. (1980). Relative curvature measures of nonlinearity. Journal of the Royal Statistical Society, Series B 42 , 1-25.

C

Clarke, M.R.B. (1971). Algorithm AS 41: Updating the sample mean and dispersion matrix. Applied Statistics 20 , 206-209.

G

Gentle, J.E. (2007). Matrix Algebra: Theory, Computations, and Applications in Statistics . Springer, New York.

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H

Harris, P. (1985). Testing the variance homogeneity of correlated variables. Biometrika 72 , 103-107.

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K

Kessy, A., Lewin, A., Strimmer, K. (2018). Optimal whitening and decorrelation. The American Statistician 72 , 309-314.

L

Lancaster, H.O. (1965). The Helmert matrices. The American Mathematical Monthly 72 , 4-12.

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M

Magnus, J.R., Neudecker, H. (1979). The commutation matrix: some properties and applications. The Annals of Statistics 7 , 381-394.

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O

Oguita, T., Rump, S.M., Oishi, S. (2005). Accurate sum and dot product. SIAM Journal on Scientific Computing 26 , 1955-1988.

S

Spicer, C.C. (1972). Algorithm AS 52: Calculation of power sums of deviations about the mean. Applied Statistics 21 , 226-227.

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W

Wei, B.C. (1998). Exponential Family Nonlinear Models . Springer, New York.

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