{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T07:40:09Z","timestamp":1751614809334,"version":"3.41.0"},"reference-count":39,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"name":"NSTC","award":["113-2115-M-003-011-MY3","113-2115-M-004-005-MY2"],"award-info":[{"award-number":["113-2115-M-003-011-MY3","113-2115-M-004-005-MY2"]}]},{"name":"Jiangsu Provincial Scientific Research Center of Applied Mathematics","award":["BK20233002"],"award-info":[{"award-number":["BK20233002"]}]},{"name":"Shanghai Institute for Mathematics and Interdisciplinary Sciences","award":["SIMIS-ID-2024-LG"],"award-info":[{"award-number":["SIMIS-ID-2024-LG"]}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2009689","DMS-2407692"],"award-info":[{"award-number":["DMS-2009689","DMS-2407692"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2025,9,30]]},"DOI":"10.1137\/24m1635156","type":"journal-article","created":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T07:20:05Z","timestamp":1751613605000},"page":"1675-1700","source":"Crossref","is-referenced-by-count":0,"title":["Numerical Solutions for Stochastic Continuous-Time Algebraic Riccati Equations"],"prefix":"10.1137","volume":"46","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2505-2750","authenticated-orcid":true,"given":"Tsung-Ming","family":"Huang","sequence":"first","affiliation":[{"name":"Department of Mathematics, National Taiwan Normal University, Taipei, 116 Taiwan."}]},{"given":"Yueh-Cheng","family":"Kuo","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, National Chengchi University, Taipei, 116 Taiwan."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4388-3398","authenticated-orcid":true,"given":"Ren-Cang","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA."}]},{"given":"Wen-Wei","family":"Lin","sequence":"additional","affiliation":[{"name":"Nanjing Center for Applied Mathematics, Nanjing, 211135 China; Shanghai Institute for Mathematics and Interdisciplinary Sciences, Shanghai, 200433, China; and Department of Applied Mathematics, National Yang Ming Chiao Tung University, Hsinchu, 300, Taiwan."}]}],"member":"351","published-online":{"date-parts":[[2025,7,4]]},"reference":[{"key":"ref1","volume-title":"SLICOT Working Note 1999-16 (Version 2.0)","author":"Abels J.","year":"1999"},{"key":"ref2","volume-title":"SLICOT Working Note 1999-14 (Version 2.0)","author":"Abels J.","year":"1999"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8081-7"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-022-09998-4"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1984.13083"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-007-9015-2"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1145\/361573.361582"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-013-0521-0"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2016.05.006"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.08.108"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-019-00760-9"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(87)90222-9"},{"key":"ref14","first-page":"1","author":"Cheng S.-W.","year":"2022","journal-title":"International Automatic Control Conference"},{"key":"ref15","first-page":"557","volume":"32","author":"Chodnicki M.","year":"2022","journal-title":"Arch. Control Sci."},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2004.10.010"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.2514\/1.55821"},{"key":"ref19","volume-title":"Rational Matrix Equations in Stochastic Control","author":"Damm T.","year":"2004"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(00)00144-0"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-8663-3"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.56021\/9781421407944"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/22M1514647"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1002\/nla.2384"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.4208\/jms.v50n4.17.04"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2006.12.009"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198537953.001.0001"},{"key":"ref33","volume-title":"Chapter 21 in Handbook of Linear Algebra","author":"Li R.-C.","year":"2014","edition":"2"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2023.3261463"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1137\/040617650"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.ast.2021.106735"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.5890\/JAND.2019.06.001"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1080\/00207216208937454"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-015-0777-7"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1137\/06066120X"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1137\/0116017"},{"key":"ref42","volume-title":"Matrix Perturbation Theory","author":"Stewart G. W.","year":"1990"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/110835463"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.4310\/AMSA.2021.v6.n1.a2"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1971.1099831"},{"key":"ref46","volume-title":"Robust and Optimal Control","author":"Zhou K.","year":"1995"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T07:20:07Z","timestamp":1751613607000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1635156"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,4]]},"references-count":39,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,9,30]]}},"alternative-id":["10.1137\/24M1635156"],"URL":"https:\/\/doi.org\/10.1137\/24m1635156","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,7,4]]}}}