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math.CO2016
On Block Representations and Spectral Properties of Semimagic Square Matrices
S. L. Hill, M. C. Lettington, K. M. Schmidt
Using the decomposition of semimagic squares into the associated and balanced symmetry types as a motivation, we introduce an equivalent representation in terms of block-structured…
math.RA2016
On Superalgebras of Matrices with Symmetry Properties
S. L. Hill, M. C. Lettington, K. M. Schmidt
It is known that semi-magic square matrices form a 2-graded algebra or superalgebra with the even and odd subspaces under centre-point reflection symmetry as the two components. We…