Inequalities for Determinants and Permanents.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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
- Theoretical Mathematics