The classification of symplectic matrices and pairs

被引：1
|
作者：
Kuo, Yueh-Cheng [1 ]
Shieh, Shih-Feng [2 ]
You, Yi-Siang [2 ]
机构：
[1] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan
[2] Natl Taiwan Normal Univ, Dept Math, Taipei 116, Taiwan
来源：
ANNALS OF MATHEMATICAL SCIENCES AND APPLICATIONS | 2019年 / 4卷 / 01期
关键词：
Symplectic matrices; symplectic pairs; complementary bases theorem; minimal classification; DOUBLING ALGORITHMS; CONVERGENCE ANALYSIS;
D O I：
10.4310/AMSA.2019.v4.n1.a2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we classify symplectic matrices and regular symplectic pairs. By applying a complementary bases theorem (Lemma 2.2), the classification is indexed by symplectic swap matrices. Both symplectic matrices and regular symplectic pairs are classified into 2(n) categories. We show that the classification is minimal and each category forms an open set.
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页码：35 / 52
页数：18
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