Geodesic
Maximum Principles in matrix theory
Glasgow mathematical journal, Tome 4 (1958) no. 1, pp. 34-37

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

Unless the contrary is stated, all matrices are understood to be complex and of type n × n. The transposed conjugate of A is denoted by A*. The non-negative square roots of the characteristic roots of A*A are called the singular values of A; they will be denoted by st(A), i = 1, ..., n, where s1(A)≥...≥ sn(A). The symbol [A]k denotes the k × k submatrix standing in the upper left-hand corner of A. We shall write Ei(z1, ..., zn) for the j-th elementary symmetric function of z1..., zn, and E1(A) for the j-th elementary symmetric function of the characteristic roots of A. It is understood that, throughout, 1≥j≥k≥n. 
Mirsky, L. Maximum Principles in matrix theory. Glasgow mathematical journal, Tome 4 (1958) no. 1, pp. 34-37. doi: 10.1017/S2040618500033827
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