{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,2]],"date-time":"2024-08-02T01:31:19Z","timestamp":1722562279423},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2013,7,11]],"date-time":"2013-07-11T00:00:00Z","timestamp":1373500800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2014,2]]},"DOI":"10.1007\/s10957-013-0268-x","type":"journal-article","created":{"date-parts":[[2013,7,10]],"date-time":"2013-07-10T16:24:39Z","timestamp":1373473479000},"page":"608-622","source":"Crossref","is-referenced-by-count":6,"title":["An Optimal Family of Fast 16th-Order Derivative-Free Multipoint Simple-Root Finders for Nonlinear Equations"],"prefix":"10.1007","volume":"160","author":[{"given":"Young Hee","family":"Geum","sequence":"first","affiliation":[]},{"given":"Young Ik","family":"Kim","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,7,11]]},"reference":[{"key":"268_CR1","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1145\/321850.321860","volume":"21","author":"H.T. Kung","year":"1974","unstructured":"Kung, H.T., Traub, J.F.: Optimal order of one-point and multipoint iteration. J. ACM 21, 643\u2013651 (1974)","journal-title":"J. ACM"},{"key":"268_CR2","doi-asserted-by":"crossref","first-page":"647","DOI":"10.1007\/s10957-011-9796-4","volume":"149","author":"M. Chen","year":"2011","unstructured":"Chen, M., Chang, T.-S.: On the higher-order method for the solution of a nonlinear scalar equation. J.\u00a0Optim. Theory Appl. 149, 647\u2013664 (2011)","journal-title":"J.\u00a0Optim. Theory Appl."},{"key":"268_CR3","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1007\/s10957-006-9154-0","volume":"131","author":"A. Germani","year":"2006","unstructured":"Germani, A., Manes, C., Palumbo, P.: Higher-order method for the solution of a nonlinear scalar equation. J. Optim. Theory Appl. 131, 347\u2013364 (2006)","journal-title":"J. Optim. Theory Appl."},{"issue":"9","key":"268_CR4","doi-asserted-by":"crossref","first-page":"3375","DOI":"10.1016\/j.amc.2009.10.030","volume":"215","author":"Y.H. Geum","year":"2010","unstructured":"Geum, Y.H., Kim, Y.I.: A multi-parameter family of three-step eighth-order iterative methods locating a simple root. Appl. Math. Comput. 215(9), 3375\u20133382 (2010)","journal-title":"Appl. Math. Comput."},{"issue":"6","key":"268_CR5","doi-asserted-by":"crossref","first-page":"2311","DOI":"10.1016\/j.amc.2010.07.029","volume":"217","author":"Y.H. Geum","year":"2010","unstructured":"Geum, Y.H., Kim, Y.I.: A penta-parametric family of fifteenth-order multipoint methods for nonlinear equations. Appl. Math. Comput. 217(6), 2311\u20132319 (2010)","journal-title":"Appl. Math. Comput."},{"issue":"3","key":"268_CR6","doi-asserted-by":"crossref","first-page":"708","DOI":"10.1016\/j.camwa.2010.12.020","volume":"61","author":"Y.H. Geum","year":"2011","unstructured":"Geum, Y.H., Kim, Y.I.: A biparametric family of eighth-order methods with their third-step weighting function decomposed into a one-variable linear fraction and a two-variable generic function. Comput. Math. Appl. 61(3), 708\u2013714 (2011)","journal-title":"Comput. Math. Appl."},{"issue":"6","key":"268_CR7","doi-asserted-by":"crossref","first-page":"929","DOI":"10.1016\/j.aml.2011.01.002","volume":"24","author":"Y.H. Geum","year":"2011","unstructured":"Geum, Y.H., Kim, Y.I.: A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots. Appl. Math. Lett. 24(6), 929\u2013935 (2011)","journal-title":"Appl. Math. Lett."},{"key":"268_CR8","doi-asserted-by":"crossref","first-page":"93","DOI":"10.2298\/AADM110228012H","volume":"5","author":"M. Heydari","year":"2011","unstructured":"Heydari, M., Hosseini, S.M., Loghmani, G.B.: Two new families of iterative methods for solving nonlinear equations with optimal order. Appl. Anal. Discrete Math. 5, 93\u2013109 (2011)","journal-title":"Appl. Anal. Discrete Math."},{"issue":"8","key":"268_CR9","doi-asserted-by":"crossref","first-page":"1051","DOI":"10.1080\/00207160.2012.673597","volume":"89","author":"Y.I. Kim","year":"2012","unstructured":"Kim, Y.I.: A triparametric family of three-step optimal eighth-order methods for solving nonlinear equations. Int. J. Comput. Math. 89(8), 1051\u20131059 (2012)","journal-title":"Int. J. Comput. Math."},{"key":"268_CR10","doi-asserted-by":"crossref","first-page":"876","DOI":"10.1137\/0710072","volume":"10","author":"R.F. King","year":"1973","unstructured":"King, R.F.: Family of fourth-order methods for nonlinear equations. SIAM J. Numer. Anal. 10, 876\u2013879 (1973)","journal-title":"SIAM J. Numer. Anal."},{"issue":"15","key":"268_CR11","doi-asserted-by":"crossref","first-page":"2081","DOI":"10.1080\/00207160.2012.702897","volume":"89","author":"M.-Y. Lee","year":"2012","unstructured":"Lee, M.-Y., Kim, Y.I.: A family of fast derivative-free fourth-order multipoint optimal methods for nonlinear equations. Int. J. Comput. Math. 89(15), 2081\u20132093 (2012)","journal-title":"Int. J. Comput. Math."},{"key":"268_CR12","first-page":"47","volume":"8","author":"Y. Lu","year":"2007","unstructured":"Lu, Y., Xu, X.: A new family of modified Newton methods with cubic convergence. Fixed Point Theory 8, 47\u201357 (2007)","journal-title":"Fixed Point Theory"},{"key":"268_CR13","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1016\/S0893-9659(04)90104-8","volume":"17","author":"A.Y. \u00d6zban","year":"2004","unstructured":"\u00d6zban, A.Y.: Some new variants of Newton\u2019s method. Appl. Math. Lett. 17, 677\u2013682 (2004)","journal-title":"Appl. Math. Lett."},{"issue":"8","key":"268_CR14","doi-asserted-by":"crossref","first-page":"2551","DOI":"10.1016\/j.cam.2010.11.007","volume":"235","author":"Y. Peng","year":"2011","unstructured":"Peng, Y., Feng, H., Li, Q., Zhang, X.: A fourth-order derivative-free algorithm for nonlinear equations. J. Comput. Appl. Math. 235(8), 2551\u20132559 (2011)","journal-title":"J. Comput. Appl. Math."},{"key":"268_CR15","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1007\/s11075-011-9467-4","volume":"578","author":"P. Sargolzaei","year":"2011","unstructured":"Sargolzaei, P., Soleymani, F.: Accurate fourteenth-order methods for solving nonlinear equations. Numer. Algorithms 578, 513\u2013527 (2011)","journal-title":"Numer. Algorithms"},{"issue":"5\u20136","key":"268_CR16","doi-asserted-by":"crossref","first-page":"1351","DOI":"10.1016\/j.mcm.2010.12.032","volume":"53","author":"F. Soleymani","year":"2011","unstructured":"Soleymani, F.: Regarding the accuracy of optimal eighth-order methods. Math. Comput. Model. 53(5\u20136), 1351\u20131357 (2011)","journal-title":"Math. Comput. Model."},{"key":"268_CR17","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.mcm.2011.12.005","volume":"56","author":"F. Soleymani","year":"2012","unstructured":"Soleymani, F., Sharma, R., Li, X., Tohidi, E.: An optimized derivative-free form of the Potra\u2013Pt\u00e1k method. Math. Comput. Model. 56, 97\u2013104 (2012)","journal-title":"Math. Comput. Model."},{"key":"268_CR18","doi-asserted-by":"crossref","first-page":"1373","DOI":"10.1016\/j.mcm.2011.10.016","volume":"55","author":"F. Soleymani","year":"2012","unstructured":"Soleymani, F., Vanani, S.K., Khan, M., Sharifi, M.: Some modifications of King\u2019s family with optimal eighth order of convergence. Math. Comput. Model. 55, 1373\u20131380 (2012)","journal-title":"Math. Comput. Model."},{"key":"268_CR19","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1007\/s10957-011-9929-9","volume":"153","author":"F. Soleymani","year":"2012","unstructured":"Soleymani, F., Vanani, S.K., Khan, M., Sharifi, M.: An improvement of Ostrowski\u2019s and King\u2019s techniques with optimal convergence order eight. J. Optim. Theory Appl. 153, 225\u2013236 (2012)","journal-title":"J. Optim. Theory Appl."},{"key":"268_CR20","first-page":"181","volume":"5","author":"F. Soleymani","year":"2011","unstructured":"Soleymani, F., Sharifi, M.: On a general efficient class of four-step root-finding methods. Int. J. Math. Comput. Simul. 5, 181\u2013189 (2011)","journal-title":"Int. J. Math. Comput. Simul."},{"key":"268_CR21","volume-title":"Iterative Methods for the Solution of Equations","author":"J.F. Traub","year":"1982","unstructured":"Traub, J.F.: Iterative Methods for the Solution of Equations. Chelsea, New York (1982)"},{"key":"268_CR22","volume-title":"Complex Analysis","author":"L.V. Ahlfors","year":"1979","unstructured":"Ahlfors, L.V.: Complex Analysis. McGraw-Hill, New York (1979)"},{"key":"268_CR23","volume-title":"The Mathematica Book","author":"S. Wolfram","year":"2003","unstructured":"Wolfram, S.: The Mathematica Book, 5th edn. Wolfram Media, Champaign (2003)","edition":"5"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-013-0268-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-013-0268-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-013-0268-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T05:55:21Z","timestamp":1559454921000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-013-0268-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,7,11]]},"references-count":23,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2014,2]]}},"alternative-id":["268"],"URL":"https:\/\/doi.org\/10.1007\/s10957-013-0268-x","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,7,11]]}}}