A reverse Hadamard inequality

被引：5

作者：

Ambikkumar, S

Drury, SW

机构：

[1] Dept. of Mathematics and Statistics, McGill University, Burnside Hall, Montreal, Que. H3A 2K6, 805 Ouest, rue Sherbrooke St. W

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1996年 / 247卷

关键词：

D O I：

10.1016/0024-3795(96)89196-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let U be an n x n unitary matrix with determinant equal to 1. Let A be an n x n real matrix with rank(A) less than or equal to 2 and entries satisfying a(ij) greater than or equal to 1 for 1 less than or equal to i, j less than or equal to n. Then it follows that det(A circle U) greater than or equal to 1. This reversal of the Hadamard inequality can be obtained easily from an old result of Fiedler. In this article we present a different proof of this fact and discuss its ramifications.

引用

页码：83 / 95

页数：13