Some properties of centrosymmetric matrices are described and discussed: in particular, methods are given for the determination of eigensolutions (latent roots and vectors) of centrosymmetric matrices from those of combinations of submatrices. Similar discussions are given for a class of matrix which may be described as centro-skew. Canonical forms for both centrosymmetric and centroskew matrices are given, and some applications are mentioned.
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A. R. Collar (1962) studied this question.