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

Xiaoyang Ma; Kai-tai Fang; Yu hui Deng

Special Matrices (2017)

- Volume: 5, Issue: 1, page 82-96
- ISSN: 2300-7451

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topXiaoyang Ma, Kai-tai Fang, and Yu hui Deng. "Some results on magic squares based on generating magic vectors and R-C similar transformations." Special Matrices 5.1 (2017): 82-96. <http://eudml.org/doc/288403>.

@article{XiaoyangMa2017,

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.},

author = {Xiaoyang Ma, Kai-tai Fang, Yu hui Deng},

journal = {Special Matrices},

keywords = {Generating magic vector; Magic squares; Similar matrix},

language = {eng},

number = {1},

pages = {82-96},

title = {Some results on magic squares based on generating magic vectors and R-C similar transformations},

url = {http://eudml.org/doc/288403},

volume = {5},

year = {2017},

}

TY - JOUR

AU - Xiaoyang Ma

AU - Kai-tai Fang

AU - Yu hui Deng

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

JO - Special Matrices

PY - 2017

VL - 5

IS - 1

SP - 82

EP - 96

AB - 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.

LA - eng

KW - Generating magic vector; Magic squares; Similar matrix

UR - http://eudml.org/doc/288403

ER -

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