{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,13]],"date-time":"2026-04-13T22:47:18Z","timestamp":1776120438142,"version":"3.50.1"},"reference-count":27,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/501100000288","name":"Royal Society","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000288","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/P020720\/1"],"award-info":[{"award-number":["EP\/P020720\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100014437","name":"Wenner-Gren Stiftelserna","doi-asserted-by":"publisher","award":["UPD2019-0067"],"award-info":[{"award-number":["UPD2019-0067"]}],"id":[{"id":"10.13039\/100014437","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2023,3,31]]},"DOI":"10.1137\/22m1471559","type":"journal-article","created":{"date-parts":[[2023,2,24]],"date-time":"2023-02-24T10:05:58Z","timestamp":1677233158000},"page":"156-174","source":"Crossref","is-referenced-by-count":3,"title":["Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix"],"prefix":"10.1137","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6015-391X","authenticated-orcid":true,"given":"Massimiliano","family":"Fasi","sequence":"first","affiliation":[{"name":"Department of Computer Science, Durham University, Upper Mountjoy Campus, Stockton Road, Durham, DH1 3LE, UK."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5956-4976","authenticated-orcid":true,"given":"Nicholas J.","family":"Higham","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8470-8388","authenticated-orcid":true,"given":"Xiaobo","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2023,2,27]]},"reference":[{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/20M1362553"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1137\/17M1140108"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479898333636"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/141000671"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(83)90010-1"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479899364015"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-36803-5_12"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/0096-3003(76)90020-5"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/17M1129866"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.56021\/9781421407944"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-009-9357-1"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/050643374"},{"key":"ref14","first-page":"1842","volume":"80","author":"Gupta V.","year":"2018","journal-title":"Proc. Mach. Learn. Res. (PMLR)"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(93)90111-Z"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/0907079"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1986-0829624-5"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(87)90118-2"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717778"},{"key":"ref20","volume-title":"Matrix Analysis","author":"Horn R. A.","year":"2013","edition":"2"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s10092-003-0079-9"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/120877398"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19330130111"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479801392697"},{"key":"ref33","unstructured":"Symbolic Math Toolbox, The MathWorks, Inc., Natick, MA, USA, http:\/\/www.mathworks.co.uk\/products\/symbolic\/."},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1137\/1024100"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1137\/060659454"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.4169\/amer.math.monthly.118.05.387"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,11,7]],"date-time":"2023-11-07T10:52:00Z","timestamp":1699354320000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1471559"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,27]]},"references-count":27,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,3,31]]}},"alternative-id":["10.1137\/22M1471559"],"URL":"https:\/\/doi.org\/10.1137\/22m1471559","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,27]]}}}