Accession Number : AD0756342

Title :   Inequalities for Determinants and Permanents.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Engel,Gernot M. ; Schneider,Hans

Report Date : JAN 1973

Pagination or Media Count : 26

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)

Descriptors :   (*MATRICES(MATHEMATICS), *INEQUALITIES), DETERMINANTS(MATHEMATICS), SET THEORY, PERMUTATIONS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE