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The aim is to detect clusters of objects that share the same behaviour of exchange so that origin and destination clusters are identified. The proposed model is based on the decomposition of the skew-symmetric matrix pertaining to the imbalances <jats:italic>between<\/jats:italic> clusters into a sum of a number of off-diagonal block matrices. Each matrix can be approximated by a skew-symmetric matrix by using a truncated Singular Value Decomposition (SVD) which exploits the properties of the skew-symmetric matrices. The model is fitted in a least-squares framework and an efficient Alternating Least Squares algorithm is provided. Finally, in order to show the potentiality of the model and the features of the resulting clusters, an extensive simulation study and an illustrative application to real data are presented.<\/jats:p>","DOI":"10.1007\/s11634-023-00566-2","type":"journal-article","created":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T12:01:44Z","timestamp":1698494504000},"page":"163-192","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A between-cluster approach for clustering skew-symmetric data"],"prefix":"10.1007","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2821-2991","authenticated-orcid":false,"given":"Donatella","family":"Vicari","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2062-8930","authenticated-orcid":false,"given":"Cinzia","family":"Di Nuzzo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,10,28]]},"reference":[{"key":"566_CR1","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1287\/mksc.17.1.66","volume":"17","author":"DR Bell","year":"1998","unstructured":"Bell DR, Lattin JM (1998) Shopping behavior and consumer preference for store price format: why \u201clarge basket\" shoppers prefer EDLP. 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