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.
@article{bwmeta1.element.doi-10_1515_spma-2017-0009,
author = {Xiaoyang Ma and Kai-tai Fang and Yu hui Deng},
title = {Some results on magic squares based on generating magic vectors and R-C similar transformations},
journal = {Special Matrices},
volume = {5},
year = {2017},
pages = {82-96},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_spma-2017-0009}
}
Xiaoyang Ma; Kai-tai Fang; Yu hui Deng. Some results on magic squares based on generating magic vectors and R-C similar transformations. Special Matrices, Tome 5 (2017) pp. 82-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_spma-2017-0009/