Geodesic
The Frechet Differential of a Primary Matrix Function
Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 554-559

Voir la notice de l'article provenant de la source Cambridge University Press

Let X be a given complex matrix of order n. If f(z) is analytic at the eigenvalues of X, one may define the primary matrix function f(X) with stem function f(z) by using any of several well-known methods: for instance, canonical forms, power series, or interpolating polynomials [9]. 
Powers, David L. The Frechet Differential of a Primary Matrix Function. Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 554-559. doi: 10.4153/CJM-1973-056-1
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