{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,3]],"date-time":"2024-09-03T04:33:52Z","timestamp":1725338032514},"reference-count":5,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2021,3,25]],"date-time":"2021-03-25T00:00:00Z","timestamp":1616630400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Numerical Linear Algebra App"],"published-print":{"date-parts":[[2021,10]]},"abstract":"Abstract<\/jats:title>Fixed\u2010point iteration is a popular method for the multilinear PageRank problem. In [B. Meini, F. Poloni<\/jats:sc>, Perron\u2010based algorithms for the multilinear PageRank<\/jats:italic>, Numer. Linear Algebra Appl., 25: e2177, 2018], a theorem was proved to determine the behavior of the fixed\u2010point iteration as the parameter . In this work, we point out that this theorem is incomplete<\/jats:italic>, and revisit the convergence of the fixed\u2010point iteration for multilinear PageRank as .<\/jats:p>","DOI":"10.1002\/nla.2379","type":"journal-article","created":{"date-parts":[[2021,3,25]],"date-time":"2021-03-25T07:31:02Z","timestamp":1616657462000},"update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Convergence of the fixed\u2010point iteration for\u00a0multilinear PageRank"],"prefix":"10.1002","volume":"28","author":[{"given":"Jun","family":"Huang","sequence":"first","affiliation":[{"name":"School of Mathematics China University of Mining and Technology Xuzhou Jiangsu P.R. China"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-4936-437X","authenticated-orcid":false,"given":"Gang","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Mathematics China University of Mining and Technology Xuzhou Jiangsu P.R. China"}]}],"member":"311","published-online":{"date-parts":[[2021,3,25]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1137\/140985160"},{"key":"e_1_2_7_3_1","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2013.777436"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1002\/nla.2177"},{"key":"e_1_2_7_5_1","doi-asserted-by":"publisher","DOI":"10.1002\/nla.2280"},{"key":"e_1_2_7_6_1","doi-asserted-by":"publisher","DOI":"10.1002\/nla.2107"}],"container-title":["Numerical Linear Algebra with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/nla.2379","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1002\/nla.2379","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/nla.2379","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,29]],"date-time":"2023-08-29T21:55:47Z","timestamp":1693346147000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/nla.2379"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,25]]},"references-count":5,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,10]]}},"alternative-id":["10.1002\/nla.2379"],"URL":"https:\/\/doi.org\/10.1002\/nla.2379","archive":["Portico"],"relation":{},"ISSN":["1070-5325","1099-1506"],"issn-type":[{"value":"1070-5325","type":"print"},{"value":"1099-1506","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,3,25]]},"assertion":[{"value":"2020-05-31","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-03-10","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-03-25","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}