Fischer type determinantal inequalities for accretive-dissipative matrices

被引：50
|
作者：
Lin, Minghua [1 ]
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 06期
关键词：
Accretive-dissipative matrix; Fischer determinantal inequality; SINGULAR-VALUES;
D O I：
10.1016/j.laa.2012.11.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A = [A(11) A(12) A(21) A(22)] be an n x n accretive-dissipative matrix, k and l be the orders or A(11) and A(22), respectively, and let m = min{k, l}. The vertical bar det A vertical bar <= a vertical bar det A(11)vertical bar . vertical bar det A(22)vertical bar vertical bar, where a = {2(3m/2), if m <= n/3; This improves a result of 2(3n/2), if n/3 < m <= n/2. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：2808 / 2812
页数：5
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