Geodesic
Signatura of magic and Latin integer squares: isentropic clans and indexing
Discussiones Mathematicae. Probability and Statistics, Tome 33 (2013) no. 1-2, pp. 121-149

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The 2010 study of the Shannon entropy of order nine Sudoku and Latin square matrices by Newton and DeSalvo [Proc. Roy. Soc. A 2010] is extended to natural magic and Latin squares up to order nine. We demonstrate that decimal and integer measures of the Singular Value sets, here named SV clans, are a powerful way of comparing different integer squares.
Keywords: Shannon entropy, magic square, Latin square, singular value decomposition, singular value clan 
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Cameron, Ian; Rogers, Adam; Loly, Peter. Signatura of magic and Latin integer squares: isentropic clans and indexing. Discussiones Mathematicae. Probability and Statistics, Tome 33 (2013) no. 1-2, pp. 121-149. http://geodesic.mathdoc.fr/item/DMPS_2013_33_1-2_a8/