乐胖代购免代理版

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The approach relies on the Sherman\u2013Morrison\u2013Woodbury formula formally defined in the vectorized form of the problem, but applied in the matrix setting. This allows one to solve medium size dense problems with computational costs and memory requirements dramatically lower than with a Kronecker formulation. Application problems leading to medium size equations of this form are illustrated and the performance of the matrix\u2010oriented method is reported. The application of the procedure as the core step in the solution of the large\u2010scale problem is also shown. In addition, a new explicit method for linear tensor equations is proposed, that uses the discussed matrix equation procedure as a key building block.<\/jats:p>","DOI":"10.1002\/nla.2384","type":"journal-article","created":{"date-parts":[[2021,5,7]],"date-time":"2021-05-07T05:03:22Z","timestamp":1620363802000},"update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["The Sherman\u2013Morrison\u2013Woodbury formula for generalized linear matrix equations and applications"],"prefix":"10.1002","volume":"28","author":[{"given":"Yue","family":"Hao","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics Lanzhou University Lanzhou PR China"}]},{"ORCID":"http:\/\/orcid.org\/0000-0003-0795-5865","authenticated-orcid":false,"given":"Valeria","family":"Simoncini","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica and AM^{2<\/sup> Alma Mater Studiorum \u2010 Universit\u00e0 di Bologna and IMATI\u2010CNR Bologna Italia"}]}],"member":"311","published-online":{"date-parts":[[2021,5,6]]},"reference":[{"key":"e_1_2_12_2_1","doi-asserted-by":"publisher","DOI":"10.1137\/1012104"},{"key":"e_1_2_12_3_1","series-title":"Studies in Computational Mathematics","volume-title":"Perturbation theory for matrix equations","author":"Konstantinov M","year":"2003"},{"key":"e_1_2_12_4_1","doi-asserted-by":"publisher","DOI":"10.1137\/09075041X"},{"key":"e_1_2_12_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/S1474-6670(17)40318-1"},{"key":"e_1_2_12_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-013-0521-0"},{"key":"e_1_2_12_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2010.06.003"},{"key":"e_1_2_12_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-015-0777-7"},{"key":"e_1_2_12_9_1","doi-asserted-by":"publisher","DOI":"10.1515\/jnma-2020-0035"},{"key":"e_1_2_12_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-015-0575-8"},{"key":"e_1_2_12_11_1","doi-asserted-by":"publisher","DOI":"10.1137\/15M1032399"},{"key":"e_1_2_12_12_1","unstructured":"BuengerA SimonciniV StollM. 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