Status | 已发表Published |
Title | Some results on magic squares based on generating magic vectors and R-C similar transformations |
Creator | |
Date Issued | 2017-01-26 |
Source Publication | Special Matrices
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ISSN | 2300-7451 |
Volume | 5Issue:1Pages:82-96 |
Abstract | In this paper we propose a new method, based on R-C similar transformation method, to study classification for the magic squares of order 5. The R-C similar transformation is defined by exchanging two rows and related two columns of a magic square. Many new results for classification of the magic squares of order 5 are obtained by the R-C similar transformation method. Relationships between basic forms and R-C similar magic squares are discussed. We also propose a so called GMV (generating magic vector) class set method for classification of magic squares of order 5, presenting 42 categories in total. |
Keyword | Generating magic vector Magic squares Similar matrix |
DOI | 10.1515/spma-2017-0009 |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000413784000007 |
Scopus ID | 2-s2.0-85023206727 |
Citation statistics |
Cited Times [WOS]:0
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Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/1396 |
Collection | Faculty of Science and Technology |
Corresponding Author | Ma, Xiaoyang |
Affiliation | 1.Division of Science and Technology, BNU-HKBU United International College, Zhuhai, China 2.Department of Biostatistics, Georgetown University, Washington, United States 3.Key Lab of Random Complex Structures and Data Analysis, Chinese Academy of Sciences, Beijing, China |
First Author Affilication | Beijing Normal-Hong Kong Baptist University |
Corresponding Author Affilication | Beijing Normal-Hong Kong Baptist University |
Recommended Citation GB/T 7714 | Ma, Xiaoyang,Fang, Kaitai,Deng, Yuhui. Some results on magic squares based on generating magic vectors and R-C similar transformations[J]. Special Matrices, 2017, 5(1): 82-96. |
APA | Ma, Xiaoyang, Fang, Kaitai, & Deng, Yuhui. (2017). Some results on magic squares based on generating magic vectors and R-C similar transformations. Special Matrices, 5(1), 82-96. |
MLA | Ma, Xiaoyang,et al."Some results on magic squares based on generating magic vectors and R-C similar transformations". Special Matrices 5.1(2017): 82-96. |
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Ma-2017-Some results(520KB) | Journal article | Published draft | Open Access | CC BY-NC-SA | View Download |
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