On the φJ polar decomposition of matrices

被引：10
|
作者：
Merino, Dennis I. [1 ]
Paras, Agnes T. [2 ]
Pelejo, Diane Christine P. [2 ]
机构：
[1] SE Louisiana Univ, Dept Math, Hammond, LA 70402 USA
[2] Univ Philippines, Inst Math, Quezon City 1101, Philippines
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 05期
关键词：
phi(J) polar decomposition; Symplectic matrices; Skew-Hamiltonian matrices;
D O I：
10.1016/j.laa.2009.10.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present new results on the phi(J) polar decomposition of matrices. We show that every symplectic matrix may be written as a product of symplectic operation matrices. We present a simple form attained under symplectic equivalence, which makes it easy to determine if a matrix does not have a phi(J) polar decomposition. We also determine the rank 4 matrices with phi(J) polar decomposition. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：1165 / 1175
页数：11
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