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

Xiaoyang 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 -