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

页码：1165 / 1175

页数：11

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