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Matrix Differentiation of S-Functions
Published online by Cambridge University Press: 20 January 2009
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1. It has been shown (1; 2, 136) that if Sr, ar, hr denote respectively the symmetric functions , Σλ1 λ2…λr, and the homogeneous product sum of degree r of the latent roots λ1, λ2, …, λn of the matrix X = [xij] then
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- Copyright © Edinburgh Mathematical Society 1953
References
REFERENCES
(1)Turnbull, H. W., “On differentiating a matrix,” Proc. Edinburgh Math. Soc. (2), 1 (1927), 111–128.CrossRefGoogle Scholar
(3)Littlewood, D. E., Group characters and matrix representations of groups (Oxford, 1940).Google Scholar
(4)Turnbull, H. W., “Matrix differentiation of the characteristic function,” Proc. Edinburgh Math. Soc. (2), 2 (1931), 256–264.CrossRefGoogle Scholar
(5)Foulkes, H. O., “Differential operators associated with S-functions,” Journal London Math. Soc., 24 (1949), 136–143.CrossRefGoogle Scholar
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