Matrix Differentiation of S-Functions
H. O. Foulkes · Proceedings of the Edinburgh Mathematical Society · 1953
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