{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T10:48:12Z","timestamp":1730198892591,"version":"3.28.0"},"reference-count":43,"publisher":"IEEE","license":[{"start":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T00:00:00Z","timestamp":1559347200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T00:00:00Z","timestamp":1559347200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T00:00:00Z","timestamp":1559347200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,6]]},"DOI":"10.1109\/arith.2019.00011","type":"proceedings-article","created":{"date-parts":[[2019,10,21]],"date-time":"2019-10-21T23:56:55Z","timestamp":1571702215000},"page":"1-14","source":"Crossref","is-referenced-by-count":4,"title":["Error Bounds for Computer Arithmetics"],"prefix":"10.1109","author":[{"given":"Siegfried M.","family":"Rump","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/07068816X"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1137\/050645671"},{"journal-title":"On Properties of Floating-Point Arithmetics Numerical Stability and the Cost of Accurate Computations","year":"1992","author":"priest","key":"ref33"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1587\/nolta.6.364"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1137\/030601818"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19740540106"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-015-0554-0"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1137\/130927231"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-015-0555-z"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-011-0342-4"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2008.215"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/PL00009321"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1145\/2699469"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-015-9967-8"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718027"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/IEEESTD.2008.4610935"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/120894488"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1090\/mcom\/3234"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH.2018.8464793"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1145\/3121432"},{"key":"ref19","first-page":"1214","article-title":"A survey of error analysis","volume":"71","author":"kahan","year":"0","journal-title":"Proceedings of the IFIP Congress Ljubljana Information Processing"},{"journal-title":"Floating-point numbers are real numbers","year":"2016","author":"mascarenhas","key":"ref28"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511921698"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1145\/362854.362889"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1145\/1141277.1141586"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492906350015"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-76526-6"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01397083"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2014.2345391"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ARITH.2013.9"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1145\/3054947"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1145\/103162.103163"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1145\/212066.212075"},{"key":"ref20","volume":"2","author":"knuth","year":"1998","journal-title":"The Art of Computer Programming Seminumerical Algorithms"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-017-0658-9"},{"journal-title":"Computer Arithmetic in Theory and Practice","year":"1981","author":"kulisch","key":"ref21"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1145\/512274.512287"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1090\/mcom\/3355","article-title":"Sharp estimates for perturbation errors in summations","volume":"88","author":"lange","year":"2019","journal-title":"Math Comp"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/BF01386233"},{"key":"ref23","article-title":"Faithfully rounded floating-point operations","author":"lange","year":"2019","journal-title":"ACM Trans Math Softw"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TC.2017.2690632"},{"key":"ref43","first-page":"7","article-title":"Genaue Lösung linearer Gleichungssysteme","volume":"26","author":"zielke","year":"2003","journal-title":"GAMM Mitt Ges Angew Math Mech"},{"key":"ref25","article-title":"More instruction aevel parallelism explains the actual efficiency of compensated algorithms","author":"langlois","year":"2007","journal-title":"Technical Report"}],"event":{"name":"2019 IEEE 26th Symposium on Computer Arithmetic (ARITH)","start":{"date-parts":[[2019,6,10]]},"location":"Kyoto, Japan","end":{"date-parts":[[2019,6,12]]}},"container-title":["2019 IEEE 26th Symposium on Computer Arithmetic (ARITH)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8864032\/8877381\/08877451.pdf?arnumber=8877451","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,17]],"date-time":"2022-07-17T21:54:27Z","timestamp":1658094867000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8877451\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6]]},"references-count":43,"URL":"https:\/\/doi.org\/10.1109\/arith.2019.00011","relation":{},"subject":[],"published":{"date-parts":[[2019,6]]}}}