{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T19:08:30Z","timestamp":1775070510549,"version":"3.50.1"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"DOI":"10.13039\/501100001809","name":"National Science Foundation of China","doi-asserted-by":"crossref","award":["11771328"],"award-info":[{"award-number":["11771328"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Science Foundation of China","doi-asserted-by":"crossref","award":["11901549"],"award-info":[{"award-number":["11901549"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Science Foundation of China","doi-asserted-by":"crossref","award":["12171128"],"award-info":[{"award-number":["12171128"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Natural Science Foundation of Zhejiang Province, China","award":["LD19A010002"],"award-info":[{"award-number":["LD19A010002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2022,12]]},"abstract":"<jats:p> In this paper, we present a refined convergence analysis for a simple yet powerful method for computing a symmetric low-rank orthogonal approximation of a symmetric tensor proposed in the literature. The significance is that the assumption guaranteeing the global convergence is vastly relaxed to only on an input parameter of this algorithm. <\/jats:p>","DOI":"10.1142\/s0217595922500038","type":"journal-article","created":{"date-parts":[[2021,10,27]],"date-time":"2021-10-27T03:53:06Z","timestamp":1635306786000},"source":"Crossref","is-referenced-by-count":1,"title":["A Global Convergence Analysis for Computing a Symmetric Low-Rank Orthogonal Approximation"],"prefix":"10.1142","volume":"39","author":[{"given":"Wenxin","family":"Du","sequence":"first","affiliation":[{"name":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shenglong","family":"Hu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Youyicun","family":"Lin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Science, China Jiliang University, Hangzhou, Zhejiang 310018, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,11,20]]},"reference":[{"key":"S0217595922500038BIB001","doi-asserted-by":"publisher","DOI":"10.1515\/9781400830244"},{"key":"S0217595922500038BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-011-0484-9"},{"key":"S0217595922500038BIB003","doi-asserted-by":"crossref","first-page":"36","DOI":"10.4064\/sm-7-1-36-44","volume":"7","author":"Banach S","year":"1938","journal-title":"Studia Mathematica"},{"key":"S0217595922500038BIB004","volume-title":"Nonlinear Programming","author":"Bertsekas DP","year":"1999","edition":"2"},{"key":"S0217595922500038BIB005","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1137\/060670080","volume":"18","author":"Bolte J","year":"2007","journal-title":"SIAM Journal of Optimization"},{"key":"S0217595922500038BIB006","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895290954"},{"key":"S0217595922500038BIB007","doi-asserted-by":"crossref","DOI":"10.56021\/9781421407944","volume-title":"Matrix Computations","author":"Golub GH","year":"2013","edition":"4"},{"key":"S0217595922500038BIB009","doi-asserted-by":"crossref","first-page":"1095","DOI":"10.1137\/100801482","volume":"32","author":"Kolda TG","year":"2011","journal-title":"SIAM Journal of Matrix Analysis and Applications"},{"key":"S0217595922500038BIB010","doi-asserted-by":"publisher","DOI":"10.5802\/aif.1638"},{"key":"S0217595922500038BIB011","volume-title":"Tensors: Geometry and Applications","author":"Landsberg JM","year":"2012"},{"key":"S0217595922500038BIB012","doi-asserted-by":"publisher","DOI":"10.1002\/nla.2180"},{"key":"S0217595922500038BIB013","doi-asserted-by":"crossref","first-page":"430","DOI":"10.1137\/100795802","volume":"32","author":"Qi L","year":"2011","journal-title":"SIAM Journal of Matrix Analysis and Applications"},{"key":"S0217595922500038BIB014","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02431-3"}],"container-title":["Asia-Pacific Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0217595922500038","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,27]],"date-time":"2022-12-27T01:46:42Z","timestamp":1672105602000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0217595922500038"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11,20]]},"references-count":13,"journal-issue":{"issue":"06","published-print":{"date-parts":[[2022,12]]}},"alternative-id":["10.1142\/S0217595922500038"],"URL":"https:\/\/doi.org\/10.1142\/s0217595922500038","relation":{},"ISSN":["0217-5959","1793-7019"],"issn-type":[{"value":"0217-5959","type":"print"},{"value":"1793-7019","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,11,20]]},"article-number":"2250003"}}