Rank Properties for Centred Three-Way Arrays

Albers, C. J.; Gower, J. C. and Kiers, H. A. L. (2018). Rank Properties for Centred Three-Way Arrays. In: Mola, F.; Conversano, C. and Vichi, M. eds. Classification, (Big) Data Analysis and Statistical Learning. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, pp. 69–76.

DOI: https://doi.org/10.1007/978-3-319-55708-3_8


When analysing three-way arrays, it is a common practice to centre the arrays. Depending on the context, centring is performed over one, two or three modes. In this paper, we outline how centring affects the rank of the array; both in terms of maximum rank and typical rank.

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