R. Merris, Inequalities involving the inverses of positive definite matrices, Proc. Edinburgh Math. Soc. 22 (1979), 11-15. AMS Notices 24 (1977), A-55. Math Reviews 80f: 15022. Research supported by NSF Grant MCS 76-05946.

The main result of this article concerns generalized matrix functions (immanants) of convex combinations of positive definite hermitian matrices. Further work has been done in

  • R. Merris, Extensions of the Minkowski determinant theorem, Portugaliae Math. 38 (1979), 149-153.
  • R. B. Bapat and A. K. Lal, Inequalities for the q-permanent, Linear Algebra Appl. 197-198 (1994), 397-409.