{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T07:22:28Z","timestamp":1767165748009,"version":"build-2238731810"},"reference-count":33,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,2,11]],"date-time":"2021-02-11T00:00:00Z","timestamp":1613001600000},"content-version":"vor","delay-in-days":41,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11771393"],"award-info":[{"award-number":["11771393"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11632015"],"award-info":[{"award-number":["11632015"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004731","name":"Natural Science Foundation of Zhejiang Province","doi-asserted-by":"publisher","award":["LZ14A010002"],"award-info":[{"award-number":["LZ14A010002"]}],"id":[{"id":"10.13039\/501100004731","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>\n                    This paper proposes the modified generalization of the HSS (MGHSS) to solve a large and sparse continuous Sylvester equation, improving the efficiency and robustness. The analysis shows that the MGHSS converges to the unique solution of\n                    <jats:italic>AX<\/jats:italic>\n                    \u2009+\u2009\n                    <jats:italic>XB<\/jats:italic>\n                    \u2009=\u2009\n                    <jats:italic>C<\/jats:italic>\n                    unconditionally. We also propose an inexact variant of the MGHSS (IMGHSS) and prove its convergence under certain conditions. Numerical experiments verify the efficiency of the proposed methods.\n                  <\/jats:p>","DOI":"10.1155\/2021\/6615728","type":"journal-article","created":{"date-parts":[[2021,2,11]],"date-time":"2021-02-11T14:20:07Z","timestamp":1613053207000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["[Retracted] The MGHSS for Solving Continuous Sylvester Equation AX+XB=C"],"prefix":"10.1155","volume":"2021","author":[{"given":"Yu-Ye","family":"Feng","sequence":"first","affiliation":[]},{"given":"Qing-Biao","family":"Wu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7493-0241","authenticated-orcid":false,"given":"Xue-Na","family":"Jing","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,2,11]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1145\/361573.361582"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0893-9659(88)90183-8"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198537953.001.0001"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/tcs.1986.1085912"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479894273687"},{"key":"e_1_2_9_6_2","volume-title":"Applications of Liapunov Methods in Stability","author":"Rasvan V.","year":"1993"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2014.02.025"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2015.09.027"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.4208\/jcm.1607-m2016-0613"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.11.064"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.4208\/jcm.1009-m3152"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1109\/tac.1979.1102170"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.328"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.11.055"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8191(94)90018-3"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf01385695"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2012.10.001"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(91)90384-9"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-010-0077-0"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1090\/s0025-5718-06-01892-8"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-004-0521-1"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-015-0231-6"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1007\/s13160-012-0059-z"},{"key":"e_1_2_9_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2015.04.020"},{"key":"e_1_2_9_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2020.06.014"},{"key":"e_1_2_9_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2020.06.029"},{"key":"e_1_2_9_27_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-008-0106-z"},{"key":"e_1_2_9_28_2","doi-asserted-by":"publisher","DOI":"10.1137\/080723181"},{"key":"e_1_2_9_29_2","doi-asserted-by":"publisher","DOI":"10.1137\/s1064827503428114"},{"key":"e_1_2_9_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.08.021"},{"key":"e_1_2_9_31_2","volume-title":"Methods of Numerical Mathematics","author":"Marchuk G. 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