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math.GM2021★ 1 cited
Compound Lucas Magic Squares
Ronald P. Nordgren
We review a general parameterization of an order-3 magic square derived by Lucas and we compound it to produce a parameterized order-9 magic square. Sequential compounding to highe…
math.GM2020★ 1 cited
Commuting Magic Square Matrices
Ronald P. Nordgren
We review a known method of compounding two magic square matrices of order m and n with the all-ones matrix to form two magic square matrices of order mn. We show that these compou…
math.GM2020
Simultaneous Diagonalization and SVD of Commuting Matrices
Ronald P. Nordgren
We present a matrix version of a known method of constructing common eigenvectors of two diagonalizable commuting matrices, thus enabling their simultaneous diagonalization. The ma…