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Status已发表Published
TitleSome results on magic squares based on generating magic vectors and R-C similar transformations
Creator
Date Issued2017-01-26
Source PublicationSpecial Matrices
ISSN2300-7451
Volume5Issue: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.

KeywordGenerating magic vector Magic squares Similar matrix
DOI10.1515/spma-2017-0009
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000413784000007
Scopus ID2-s2.0-85023206727
Citation statistics
Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/1396
CollectionFaculty of Science and Technology
Corresponding AuthorMa, 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 AffilicationBeijing Normal-Hong Kong Baptist University
Corresponding Author AffilicationBeijing 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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