Inequalities for determinants and permanents
Gernot M. Engel, Hans Schneider · Linear and Multilinear Algebra · 1973
Abstract : The authors give an upper bound for the determinant of a matrix with positive dominant diagonal and nonpositive off-diagonal elements. A lower bound is derived for the permanent of a nonnegative matrix with dominant diagonal. Conditions for equality are investigated. There are applications to stochastic, nonnegative, and M-matrices. (Author)