2013
DOI: 10.1016/j.chemolab.2013.05.014
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Direct transformations yielding the knight's move pattern in 3×3×3 arrays

Abstract: Three-way arrays (or tensors) can be regarded as extensions of the traditional two-way data matrices that have a third dimension. Studying algebraic properties of arrays is relevant, for example, for the Tucker three-way PCA method, which generalizes principal component analysis to three-way data. One important algebraic property of arrays is concerned with the possibility of transformations to simplicity. An array is said to be transformed to a simple form when it can be manipulated by a sequence of invertibl… Show more

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