Positivity of Matrices with Generalized Matrix Functions
Acta Mathematica Sinica
Determinant, Generalized matrix function, Permanent, Trace
Using an elementary fact on matrices we show by a unified approach the positivity of a partitioned positive semidefinite matrix with each square block replaced by a compound matrix, an elementary symmetric function or a generalized matrix function. In addition, we present a refined version of the Thompson determinant compression theorem
Zhang, Fuzhen, "Positivity of Matrices with Generalized Matrix Functions" (2012). Mathematics Faculty Articles. 97.