{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T21:50:52Z","timestamp":1780609852019,"version":"3.54.1"},"reference-count":24,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. &amp; Appl."],"published-print":{"date-parts":[[2001,1]]},"DOI":"10.1137\/s0895479899359837","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T15:12:06Z","timestamp":1055344326000},"page":"1038-1057","source":"Crossref","is-referenced-by-count":45,"title":["Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems"],"prefix":"10.1137","volume":"22","author":[{"given":"Fran\u00e7oise","family":"Tisseur","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0614061"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1007\/BF02253743"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971200"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0121009"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1145\/356012.356016"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1137\/0904049"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1137\/0720002"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1002\/nla.1680020104"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1137\/1023004"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479896313188"},{"key":"R16","volume-title":"Accuracy and stability of numerical algorithms","author":"Higham Nicholas","year":"1996"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/17.4.495"},{"key":"R18","first-page":"303","volume":"17","author":"Jankowski M.","year":"1977","journal-title":"Nordisk Tidskr. Informationsbehandling (BIT)"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1007\/BF02165230"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1145\/321386.321394"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1145\/321406.321416"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1980-0572859-4"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1007\/BF01396310"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.2307\/2316909"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1137\/0612050"},{"key":"R27","volume-title":"Rounding errors in algebraic processes","author":"Wilkinson J.","year":"1994"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1007\/BF01399601"},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/3.1.109"},{"key":"R30","doi-asserted-by":"publisher","DOI":"10.1137\/0721040"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895479899359837","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,10,2]],"date-time":"2017-10-02T16:07:19Z","timestamp":1506960439000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/S0895479899359837"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1]]},"references-count":24,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["10.1137\/S0895479899359837"],"URL":"https:\/\/doi.org\/10.1137\/s0895479899359837","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,1]]}}}