{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T11:30:42Z","timestamp":1774870242206,"version":"3.50.1"},"reference-count":16,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2009,10,1]],"date-time":"2009-10-01T00:00:00Z","timestamp":1254355200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2009,10]]},"DOI":"10.1016\/j.amc.2009.06.065","type":"journal-article","created":{"date-parts":[[2009,7,5]],"date-time":"2009-07-05T08:15:27Z","timestamp":1246781727000},"page":"1288-1292","source":"Crossref","is-referenced-by-count":49,"title":["A new fourth-order iterative method for finding multiple roots of nonlinear equations"],"prefix":"10.1016","volume":"215","author":[{"given":"Li","family":"Shengguo","sequence":"first","affiliation":[]},{"given":"Liao","family":"Xiangke","sequence":"additional","affiliation":[]},{"given":"Cheng","family":"Lizhi","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.amc.2009.06.065_bib1","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1007\/BF01444024","article-title":"\u00dcber unendlich viele Algorithmen zur Aufl\u00f6sung der Gleichungen","volume":"2","author":"Schr\u00f6der","year":"1870","journal-title":"Math. Ann."},{"key":"10.1016\/j.amc.2009.06.065_bib2","series-title":"Iterative Methods for the Solution of Equations","author":"Traub","year":"1977"},{"key":"10.1016\/j.amc.2009.06.065_bib3","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/BF01396176","article-title":"A family of root finding methods","volume":"27","author":"Hansen","year":"1977","journal-title":"Numer. Math."},{"key":"10.1016\/j.amc.2009.06.065_bib4","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1080\/00207168208803346","article-title":"A higher order method for multiple zeros of nonlinear functions","volume":"12","author":"Victory","year":"1983","journal-title":"Int. J. Comput. Math."},{"key":"10.1016\/j.amc.2009.06.065_bib5","first-page":"445","article-title":"A basic theorem of constructing an iterative formula of the higher order for computing multiple roots of an equation","volume":"11","author":"Dong","year":"1982","journal-title":"Math. Numer. Sinica"},{"key":"10.1016\/j.amc.2009.06.065_bib6","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1080\/00207168708803576","article-title":"A family of multipoint iterative functions for finding multiple roots of equations","volume":"21","author":"Dong","year":"1987","journal-title":"Int. J. Comput. Math."},{"key":"10.1016\/j.amc.2009.06.065_bib7","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/0377-0427(94)00044-1","article-title":"An optimal multiple root-finding method of order three","volume":"51","author":"Osada","year":"1994","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.amc.2009.06.065_bib8","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1016\/j.amc.2008.01.031","article-title":"New third order nonlinear solvers for multiple roots","volume":"202","author":"Neta","year":"2008","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2009.06.065_bib9","doi-asserted-by":"crossref","DOI":"10.1016\/j.amc.2009.01.087","article-title":"A third-order modification of Newton\u2019s method for multiple roots","author":"Chun","year":"2009","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2009.06.065_bib10","doi-asserted-by":"crossref","first-page":"1574","DOI":"10.1016\/j.camwa.2008.10.070","article-title":"New families of nonlinear third-order solvers for finding multiple roots","volume":"57","author":"Chun","year":"2009","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.amc.2009.06.065_bib11","doi-asserted-by":"crossref","first-page":"2012","DOI":"10.1016\/j.camwa.2007.09.001","article-title":"High order nonlinear solver for multiple roots","volume":"55","author":"Neta","year":"2008","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.amc.2009.06.065_bib12","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1093\/comjnl\/8.4.398","article-title":"Multipoint iterative methods for solving certain equations","volume":"8","author":"Jarratt","year":"1966","journal-title":"Comput. J."},{"key":"10.1016\/j.amc.2009.06.065_bib13","doi-asserted-by":"crossref","unstructured":"B. Neta, Extension of Murakami\u2019s high order nonlinear solver to multiple roots, Int. J. Comput. Math., doi:10.1080\/00207160802272263.","DOI":"10.1080\/00207160802272263"},{"key":"10.1016\/j.amc.2009.06.065_bib14","first-page":"138","article-title":"Some fifth order multipoint iterative formulae for solving equations","volume":"1","author":"Murakami","year":"1978","journal-title":"J. Inform. Process."},{"key":"10.1016\/j.amc.2009.06.065_bib15","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0377-0427(94)90093-0","article-title":"The Jarratt method in Banach space setting","volume":"51","author":"Argyros","year":"1994","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.amc.2009.06.065_bib16","series-title":"Numerical Analysis: An introduction","author":"Gautschi","year":"1997"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300309006444?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300309006444?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,5,21]],"date-time":"2019-05-21T07:12:57Z","timestamp":1558422777000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300309006444"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2009,10]]}},"alternative-id":["S0096300309006444"],"URL":"https:\/\/doi.org\/10.1016\/j.amc.2009.06.065","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2009,10]]}}}