Geodesic
An Inequality for Positive Semidefinite Hermitian Matrices(1)
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 131-132

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

Let A and B be positive semidefinite Hermitian n-square matrices. If A—B is positive semidefinite, write A≥B. Haynsworth [1] has proved that if A≥B then det(A+B)≥det A+n det B.Let G be a subgroup of the symmetric group, Sn, and let λ be a character on G. Let where A = (aij) and Er is the rth elementary symmetric function. 
Merris, Russell. An Inequality for Positive Semidefinite Hermitian Matrices(1). Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 131-132. doi: 10.4153/CMB-1974-027-7
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[1] 1. Haynsworth, Emilie V., Applications of an inequality for the Schur complement, Proc. Amer. Math. Soc. 24 (1970) 512-516. Google Scholar

[2] 2. Merris, Russell,A dominance theorem for partitioned hermitian matrices, Trans. Amer. Math. Soc. 164 (1972) 341-352. Google Scholar

[3] 3. Merris, Russell Inequalities for matrix functions, J. Algebra, 22 (1972) 451-460. Google Scholar

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