Inequalities for Determinants and Permanents.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1973
- Accession Number
- AD0756342
Entities
People
- Gernot M. Engel
- Hans Schneider
Organizations
- University of Wisconsin–Madison