{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,12]],"date-time":"2026-04-12T02:48:53Z","timestamp":1775962133843,"version":"3.50.1"},"reference-count":19,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-20-CE46-0009"],"award-info":[{"award-number":["ANR-20-CE46-0009"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-23-CE46-0005-01"],"award-info":[{"award-number":["ANR-23-CE46-0005-01"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-22-EXNU-0002"],"award-info":[{"award-number":["ANR-22-EXNU-0002"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2025,6,30]]},"DOI":"10.1137\/24m1687649","type":"journal-article","created":{"date-parts":[[2025,5,29]],"date-time":"2025-05-29T08:00:33Z","timestamp":1748505633000},"page":"1444-1459","source":"Crossref","is-referenced-by-count":1,"title":["Error Analysis of the Gram Low-Rank Approximation (and Why it is Not as Unstable as One May Think)"],"prefix":"10.1137","volume":"46","author":[{"given":"Theo","family":"Mary","sequence":"first","affiliation":[{"name":"Sorbonne Universit\u00e9, CNRS, LIP6, Paris, France."}]}],"member":"351","published-online":{"date-parts":[[2025,5,29]]},"reference":[{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050057"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1137\/0707001"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971446"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1145\/356012.356016"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/0720002"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718027"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.4171\/icm2022\/74"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/18M1226312"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492922000022"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1145\/2538688"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s13160-018-0310-3"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s13160-019-00348-4"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/090752286"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/090748330"},{"key":"ref17","volume-title":"Matrix Perturbation Theory","author":"Stewart G. W.","year":"1990"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479899359837"},{"key":"ref19","volume-title":"Numerical Linear Algebra","author":"Trefethen L. N.","year":"2022"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/BF01932678"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/asv008"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,5,29]],"date-time":"2025-05-29T08:00:34Z","timestamp":1748505634000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1687649"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,29]]},"references-count":19,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,6,30]]}},"alternative-id":["10.1137\/24M1687649"],"URL":"https:\/\/doi.org\/10.1137\/24m1687649","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5,29]]}}}