{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T20:11:43Z","timestamp":1780344703952,"version":"3.54.1"},"reference-count":26,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. & Appl."],"published-print":{"date-parts":[[1994,4]]},"DOI":"10.1137\/s0895479892224768","type":"journal-article","created":{"date-parts":[[2005,2,27]],"date-time":"2005-02-27T12:14:24Z","timestamp":1109506464000},"page":"636-660","source":"Crossref","is-referenced-by-count":34,"title":["Perturbation Analysis of a Condition Number for Linear Systems"],"prefix":"10.1137","volume":"15","author":[{"given":"Zhi-Quan","family":"Luo","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Paul","family":"Tseng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1287\/moor.13.2.243"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(92)90174-9"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01582230"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/0710029"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/0712057"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1287\/moor.5.3.388"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1007\/BF00940486"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.6028\/jres.049.027"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01580851"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1137\/0330025"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(81)90100-2"},{"key":"R15","series-title":"Methods Oper. Res.","first-page":"3","volume-title":"6. Symposium \u00fcber Operations Research, Part 1 (Augsburg, 1981)","volume":"43","author":"Mangasarian O. L.","year":"1981"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1287\/moor.10.2.175"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(67)90163-1"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1137\/0325033"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1972-0313769-9"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(73)90007-4"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1137\/0712056"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1137\/0313015"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1137\/0713043"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1287\/opre.25.3.435"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173"},{"key":"R28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.24033\/bsmf.1418","volume":"79","author":"Rosenbloom P. C.","year":"1951","journal-title":"Math\u00e9matique de France"},{"key":"R29","volume-title":"Theory of linear and integer programming","author":"Schrijver Alexander","year":"1986"},{"key":"R30","doi-asserted-by":"publisher","DOI":"10.1007\/BF01580598"},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1007\/BF01580904"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895479892224768","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,10,2]],"date-time":"2017-10-02T16:10:05Z","timestamp":1506960605000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/S0895479892224768"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,4]]},"references-count":26,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1994,4]]}},"alternative-id":["10.1137\/S0895479892224768"],"URL":"https:\/\/doi.org\/10.1137\/s0895479892224768","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,4]]}}}