{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:41:34Z","timestamp":1740123694863,"version":"3.37.3"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2016,3,11]],"date-time":"2016-03-11T00:00:00Z","timestamp":1457654400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2016,11]]},"DOI":"10.1007\/s11075-016-0115-x","type":"journal-article","created":{"date-parts":[[2016,3,10]],"date-time":"2016-03-10T20:36:15Z","timestamp":1457642175000},"page":"735-760","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Sharp error bounds for complex floating-point inversion"],"prefix":"10.1007","volume":"73","author":[{"given":"Claude-Pierre","family":"Jeannerod","sequence":"first","affiliation":[]},{"given":"Nicolas","family":"Louvet","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3588-0047","authenticated-orcid":false,"given":"Jean-Michel","family":"Muller","sequence":"additional","affiliation":[]},{"given":"Antoine","family":"Plet","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,3,11]]},"reference":[{"key":"115_CR1","unstructured":"Baudin, M.: Error bounds of complex arithmetic. Available at http:\/\/forge.scilab.org\/upload\/compdiv\/files\/complexerrorbounds_v0.2.pdf (2011)"},{"key":"115_CR2","unstructured":"Baudin, M., Smith, R.L.: A robust complex division in Scilab. Available at http:\/\/arxiv.org\/abs\/1210.4539 (2012)"},{"issue":"259","key":"115_CR3","doi-asserted-by":"crossref","first-page":"1469","DOI":"10.1090\/S0025-5718-07-01931-X","volume":"76","author":"R Brent","year":"2007","unstructured":"Brent, R., Percival, C., Zimmermann, P.: Error bounds on complex floating-point multiplication. Math. Comput. 76(259), 1469\u20131481 (2007)","journal-title":"Math. Comput."},{"key":"115_CR4","unstructured":"Champagne, W.P.: On finding roots of polynomials by hook or by crook. Master\u2019s thesis, University of Texas (1964)"},{"key":"115_CR5","doi-asserted-by":"crossref","unstructured":"Higham, N. J.: Accuracy and Stability of Numerical Algorithms, second edn. SIAM, Philadelphia, PA, USA (2002)","DOI":"10.1137\/1.9780898718027"},{"key":"115_CR6","unstructured":"IEEE Computer Society: IEEE Standard for Floating-Point Arithmetic. IEEE Standard 754\u20132008 (2008). http:\/\/ieeexplore.ieee.org\/servlet\/opac?punumber=4610933"},{"key":"115_CR7","unstructured":"Knuth, D.E.: The Art of Computer Programming, Volume 2, Seminumerical Algorithms, third edn. Addison-Wesley, Reading, MA, USA (1998)"},{"issue":"4","key":"115_CR8","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1145\/1039813.1039814","volume":"30","author":"DM Priest","year":"2004","unstructured":"Priest, D.M.: Efficient scaling for complex division. ACM Trans. Math. Softw. 30(4), 389\u2013401 (2004)","journal-title":"ACM Trans. Math. Softw."},{"issue":"1","key":"115_CR9","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1137\/050645671","volume":"31","author":"SM Rump","year":"2008","unstructured":"Rump, S.M., Ogita, T., Oishi, S.: Accurate floating-point summation, Part I: Faithful rounding. SIAM J. Sci. Comput. 31(1), 189\u2013224 (2008)","journal-title":"SIAM J. Sci. Comput."},{"issue":"8","key":"115_CR10","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1145\/368637.368661","volume":"5","author":"RL Smith","year":"1962","unstructured":"Smith, R.L.: Algorithm 116: Complex division. Commun. ACM 5(8), 435 (1962)","journal-title":"Commun. ACM"},{"issue":"3","key":"115_CR11","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1145\/214408.214414","volume":"11","author":"GW Stewart","year":"1985","unstructured":"Stewart, G.W.: A note on complex division. ACM Trans. Math. Softw. 11(3), 238\u2013241 (1985)","journal-title":"ACM Trans. Math. Softw."},{"key":"115_CR12","unstructured":"Wilkinson, J.H.: The Algebraic Eigenvalue Problem. Oxford University Press (1965)"},{"issue":"227","key":"115_CR13","doi-asserted-by":"crossref","first-page":"1143","DOI":"10.1090\/S0025-5718-99-01103-5","volume":"68","author":"A Ziv","year":"1999","unstructured":"Ziv, A.: Sharp ULP rounding error bound for the hypotenuse function. Math. Comput. 68(227), 1143\u20131148 (1999)","journal-title":"Math. Comput."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-016-0115-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0115-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0115-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0115-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,3]],"date-time":"2019-06-03T10:01:17Z","timestamp":1559556077000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-016-0115-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,3,11]]},"references-count":13,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,11]]}},"alternative-id":["115"],"URL":"https:\/\/doi.org\/10.1007\/s11075-016-0115-x","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"type":"print","value":"1017-1398"},{"type":"electronic","value":"1572-9265"}],"subject":[],"published":{"date-parts":[[2016,3,11]]}}}