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Appl., 35 (2014), pp. 1058--1072] that \u201cthe question of more than one semi-orthogonal factor matrix, except for the case of complete orthogonality, remains open.\u201d To deal with this open question we present an SVD-based algorithm. Our SVD-based algorithm updates two vectors simultaneously and maintains the required orthogonality conditions by means of the polar decomposition. The convergence behavior of our algorithm is analyzed for both objective function and iterates themselves and is illustrated by numerical experiments.<\/jats:p>","DOI":"10.1137\/18m1208101","type":"journal-article","created":{"date-parts":[[2019,9,10]],"date-time":"2019-09-10T12:10:36Z","timestamp":1568117436000},"page":"1047-1065","source":"Crossref","is-referenced-by-count":26,"title":["Numerical Computation for Orthogonal Low-Rank Approximation of Tensors"],"prefix":"10.1137","volume":"40","author":[{"given":"Yu","family":"Guan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7736-7490","authenticated-orcid":true,"given":"Delin","family":"Chu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2019,9,10]]},"reference":[{"key":"atypb1","first-page":"256","author":"Acar E.","year":"2005","journal-title":"Berlin"},{"key":"atypb2","first-page":"213","author":"Acar E.","year":"2006","journal-title":"Berlin"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1002\/cem.790"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1021\/ac00236a025"},{"key":"atypb5","first-page":"147","author":"Bader B. 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