| 题名 | Square (1,−1)-matrices with large determinants and near-Hadamard matrices |
| 作者 | |
| 通讯作者 | Momihara，Koji |
| 发表日期 | 2022-12-01
|
| DOI | |
| 发表期刊 | |
| ISSN | 0024-3795
|
| EISSN | 1873-1856
|
| 卷号 | 654页码:28-55 |
| 摘要 | We give explicit constructions of square (1,−1)-matrices of order congruent to 2 modulo 4 with large determinants. In particular, we construct nine families of near-Hadamard matrices based on almost supplementary difference sets with two blocks, and compute their determinants. As consequences, we obtain many (1,−1)-matrices which are almost D-optimal or have at least 80% D-efficiency. |
| 关键词 | |
| 相关链接 | [Scopus记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 其他
|
| 资助项目 | National Natural Science Foundation of China[12071206];National Natural Science Foundation of China[12131011];National Natural Science Foundation of China[12150710510];Japan Society for the Promotion of Science[18K03395];Japan Society for the Promotion of Science[20K03719];
|
| WOS研究方向 | Mathematics
|
| WOS类目 | Mathematics, Applied
; Mathematics
|
| WOS记录号 | WOS:000860689600003
|
| 出版者 | |
| EI入藏号 | 20223712708663
|
| EI主题词 | Set theory
|
| EI分类号 | Algebra:921.1
; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4
|
| ESI学科分类 | MATHEMATICS
|
| Scopus记录号 | 2-s2.0-85137266792
|
| 来源库 | Scopus
|
| 引用统计 |
被引频次[WOS]：0
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/401591 |
| 专题 | 理学院_数学系 理学院_深圳国家应用数学中心 |
| 作者单位 | 1.Division of Natural Science,Faculty of Advanced Science and Technology,Kumamoto University,Kumamoto,2-40-1 Kurokami,860-8555,Japan 2.Department of Mathematics,National Defense Academy of Japan,Yokosuka,Kanagawa,239-8686,Japan 3.Department of Mathematics,National Center for Applied Mathematics Shenzhen,Southern University of Science and Technology,Shenzhen,518055,China |
| 推荐引用方式 GB/T 7714 |
Momihara，Koji,Suda，Sho,Xiang，Qing. Square (1,−1)-matrices with large determinants and near-Hadamard matrices[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2022,654:28-55.
|
| APA |
Momihara，Koji,Suda，Sho,&Xiang，Qing.(2022).Square (1,−1)-matrices with large determinants and near-Hadamard matrices.LINEAR ALGEBRA AND ITS APPLICATIONS,654,28-55.
|
| MLA |
Momihara，Koji,et al."Square (1,−1)-matrices with large determinants and near-Hadamard matrices".LINEAR ALGEBRA AND ITS APPLICATIONS 654(2022):28-55.
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| 条目包含的文件 | 条目无相关文件。 | |||||
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