...e Kruskal (1977, 1989). In data analysis, this implies that the rank of a three-way array is the smallest number of components that provide a perfect fit in Candecomp/Parafac (CP), see for instance, (=-=Carroll and Chang, 1970-=-, and Harshman, 1970). In statistics CP is considered a natural extension of singular value decomposition or principal components analysis to three-way data. There is quite a literature concerning the...

...ta analysis, this implies that the rank of a three-way array is the smallest number of components that provide a perfect fit in Candecomp/Parafac (CP), see for instance, (Carroll and Chang, 1970, and =-=Harshman, 1970-=-). In statistics CP is considered a natural extension of singular value decomposition or principal components analysis to three-way data. There is quite a literature concerning the value of maximal ra...