{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T08:55:21Z","timestamp":1648976121489},"reference-count":8,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,2,1]],"date-time":"2015-02-01T00:00:00Z","timestamp":1422748800000},"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":[[2015,11]]},"DOI":"10.1007\/s11075-015-9967-8","type":"journal-article","created":{"date-parts":[[2015,1,30]],"date-time":"2015-01-30T22:40:39Z","timestamp":1422657639000},"page":"653-667","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["On the maximum relative error when computing integer powers by iterated multiplications in floating-point arithmetic"],"prefix":"10.1007","volume":"70","author":[{"given":"Stef","family":"Graillat","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vincent","family":"Lef\u00e8vre","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean-Michel","family":"Muller","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,2,1]]},"reference":[{"issue":"7","key":"9967_CR1","doi-asserted-by":"crossref","first-page":"994","DOI":"10.1109\/TC.2008.215","volume":"58","author":"S Graillat","year":"2009","unstructured":"Graillat, S.: Accurate floating point product and exponentiation. IEEE Trans. Comput. 58(7), 994\u20131000 (2009)","journal-title":"IEEE Trans. Comput."},{"key":"9967_CR2","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718027","volume-title":"Accuracy and Stability of Numerical Algorithms","author":"NJ Higham","year":"2002","unstructured":"Higham, N.J. Accuracy and Stability of Numerical Algorithms, 2nd edn. SIAM, Philadelphia, PA (2002)","edition":"2nd"},{"key":"9967_CR3","unstructured":"IEEE Computer Society. IEEE Standard for Floating-Point Arithmetic. IEEE Standard 754\u20132008, August 2008. Available at http:\/\/ieeexplore.ieee.org\/servlet\/opac?punumber=4610933"},{"key":"9967_CR4","unstructured":"Jeannerod, C.-P., Rump, S.M.: On relative errors of floating-point operations: optimal bounds and applications. Research report hal-00934443, available at http:\/\/hal.inria.fr\/hal-00934443"},{"issue":"2","key":"9967_CR5","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1137\/120894488","volume":"34","author":"C-P Jeannerod","year":"2013","unstructured":"Jeannerod, C.-P., Rump, S.M.: Improved error bounds for inner products in floating-point arithmetic. SIAM J. Matrix Anal. Appl. 34(2), 338\u2013344 (2013)","journal-title":"SIAM J. Matrix Anal. Appl."},{"key":"9967_CR6","volume-title":"The Art of Computer Programming, 3rd edition, volume 2, Seminumerical Algorithms","author":"D Knuth","year":"1998","unstructured":"Knuth, D.: The Art of Computer Programming, 3rd edition, volume 2, Seminumerical Algorithms. Addison-Wesley, Reading, MA (1998)"},{"key":"9967_CR7","doi-asserted-by":"crossref","unstructured":"Muller, J.-M., Brisebarre, N., De Dinechin, F., Jeannerod, C.-P., Lef\u00e8vre, V., Melquiond, G., Revol, N., Stehl\u00e9, D., Torres, S.: Handbook of Floating-Point Arithmetic. Birkh\u00e4user Boston (2010)","DOI":"10.1007\/978-0-8176-4705-6"},{"issue":"1","key":"9967_CR8","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/s10543-011-0342-4","volume":"52","author":"SM Rump","year":"2012","unstructured":"Rump, S.M.: Error estimation of floating-point summation and dot product. BIT 52(1), 201\u2013220 (2012)","journal-title":"BIT"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-015-9967-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-015-9967-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-015-9967-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,3]],"date-time":"2019-06-03T10:01:15Z","timestamp":1559556075000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-015-9967-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,1]]},"references-count":8,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,11]]}},"alternative-id":["9967"],"URL":"https:\/\/doi.org\/10.1007\/s11075-015-9967-8","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,1]]}}}