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Abstract
This review describes advances in multiway analysis during the period 2000–2005. Multiway analysis started to take off in chemistry in the 1980s, but only in recent years has it been broadly applied to many diverse kinds of data. This review reflects how the field has matured and how the methods have been applied to more and more difficult types of data in new research areas. Multiway analysis is described in terms of different types of data, different areas of applications as well as more fundamental and theoretical results throughout the period. It is evident from this review that multiway analysis is presently a generally accepted and used tool whose full potential is far from reached.