{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T14:49:57Z","timestamp":1772290197352,"version":"3.50.1"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001321","name":"National Research Foundation","doi-asserted-by":"publisher","award":["2011-0014638"],"award-info":[{"award-number":["2011-0014638"]}],"id":[{"id":"10.13039\/501100001321","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>We develop a family of fourth-order iterative methods using the weighted harmonic mean of two derivative functions to compute approximate multiple roots of nonlinear equations. They are proved to be optimally convergent in the sense of Kung-Traub\u2019s optimal order. Numerical experiments for various test equations confirm well the validity of convergence and asymptotic error constants for the developed methods.<\/jats:p>","DOI":"10.1155\/2013\/369067","type":"journal-article","created":{"date-parts":[[2013,2,26]],"date-time":"2013-02-26T16:03:23Z","timestamp":1361894603000},"page":"1-7","source":"Crossref","is-referenced-by-count":6,"title":["A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros"],"prefix":"10.1155","volume":"2013","author":[{"given":"Young Ik","family":"Kim","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Dankook University, Cheonan 330-714, Republic of Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Young Hee","family":"Geum","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Dankook University, Cheonan 330-714, Republic of Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","year":"2010"},{"key":"22","series-title":"Prentice-Hall Series in Automatic Computation","first-page":"xviii+310","year":"1964"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(00)00290-X"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2012.02.037"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2009.07.013"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1080\/00207168708803576"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.08.066"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-010-9434-5"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.01.048"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-012-9551-4"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2011.03.014"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2007.09.001"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1080\/00207160802272263"},{"key":"11","first-page":"138","volume":"1","year":"1978","journal-title":"Journal of Information Processing"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.06.065"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01933248"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.06.031"},{"key":"12","year":"1983"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.7153\/jmi-02-11"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1145\/321850.321860"},{"key":"23","first-page":"xxvi+1470","year":"1999"},{"key":"4","year":"1992"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.06.041"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/318165"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/958020"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/497023"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/369067.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/369067.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/369067.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T08:24:37Z","timestamp":1469867077000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/369067\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":26,"alternative-id":["369067","369067"],"URL":"https:\/\/doi.org\/10.1155\/2013\/369067","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}