{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T13:58:47Z","timestamp":1762351127519},"reference-count":12,"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":[[1995,4]]},"DOI":"10.1137\/s0895479893246029","type":"journal-article","created":{"date-parts":[[2005,2,27]],"date-time":"2005-02-27T12:14:44Z","timestamp":1109506484000},"page":"675-687","source":"Crossref","is-referenced-by-count":16,"title":["Backward Error Analysis for the Constrained and Weighted Linear Least Squares Problem When Using the Weighted $QR$ Factorization"],"prefix":"10.1137","volume":"16","author":[{"given":"M\u00e5rten","family":"Gulliksson","sequence":"first","affiliation":[]}],"member":"351","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0909046"},{"key":"R2","first-page":"257","volume":"7","author":"Bj\u00f6rck ke","year":"1967","journal-title":"Nordisk Tidskr. Informations-Behandling (BIT)"},{"key":"R3","first-page":"238","volume":"31","author":"Bj\u00f6rck \u00c5.","year":"1991","journal-title":"BIT"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-75536-1_3"},{"key":"R6","volume-title":"Matrix computations","author":"Golub Gene H.","year":"1983"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1137\/0613079"},{"key":"R10","volume-title":"Solving least squares problems","author":"Hanson R. J.","year":"1974"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/112\/1087110"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1007\/BF01933262"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1979-0514817-3"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1137\/0716012"},{"key":"R15","first-page":"122","volume-title":"Information Processing 68 (Proc. IFIP Congress, Edinburgh, 1968), Vol. 1: Mathematics, Software","author":"Powell M. J. D.","year":"1969"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0895479893246029","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,10,2]],"date-time":"2017-10-02T16:09:55Z","timestamp":1506960595000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/S0895479893246029"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,4]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1995,4]]}},"alternative-id":["10.1137\/S0895479893246029"],"URL":"https:\/\/doi.org\/10.1137\/s0895479893246029","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,4]]}}}