Some results on magic squares based on generating magic vectors and R-C similar transformations

• Autorzy: Xiaoyang Ma , Kai-tai Fang , Yu hui Deng
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Generating magic vector; Magic squares; Similar matrix

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 82-96

Daty

wydano

2017-01-26

otrzymano

2016-04-10

zaakceptowano

2017-04-28

online

2017-06-29

Twórcy

autor

Xiaoyang Ma

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• D.C.,

autor

Kai-tai Fang

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autor

Yu hui Deng

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Identyfikatory

DOI

10.1515/spma-2017-0009