On symmetric functions of the eigenvalues of the sum of two Hermitian matrices

Linear Algebra and Its Applications - Tập 176 - Trang 211-222 - 1992
S.W. Drury1
1Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 ouest, rue Sherbrooke Street West, Montréal, Québec, Canada H3A 2K6

Tài liệu tham khảo

S.W. Drury and B. Cload, On the determinantal conjecture of Marcus and de Oliveira, Linear Algebra Appl., to appear. Faàdi Bruno, 1855, Note sur une nouvelle formule du calcul différentiel, Quart. J. Math., 1, 359 Fiedler, 1971, Bounds for the determinant of the sum of Hermitian matrices, Proc. Amer. Math. Soc., 30, 27, 10.1090/S0002-9939-1971-0286814-1 Glaeser, 1963, Fonctions composées différentiables, Ann. of Math., 77, 193, 10.2307/1970204 Halmos, 1958 Horn, 1991 Lay, 1982 Malgrange, 1962, Le Thérème de préparation en Géométrie Différentiable, Sém. Henri Cartan