{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:57:54Z","timestamp":1760245074727},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T00:00:00Z","timestamp":1180137600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2007,6,28]]},"DOI":"10.1007\/s00211-007-0088-8","type":"journal-article","created":{"date-parts":[[2007,5,25]],"date-time":"2007-05-25T08:32:59Z","timestamp":1180081979000},"page":"131-146","source":"Crossref","is-referenced-by-count":22,"title":["Improvements of the efficiency of some three-step iterative like-Newton methods"],"prefix":"10.1007","volume":"107","author":[{"given":"Miquel","family":"Grau-S\u00e1nchez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2007,5,26]]},"reference":[{"key":"88_CR1","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1007\/s00010-004-2733-y","volume":"69","author":"S. Amat","year":"2005","unstructured":"Amat S., Busquier S., Plaza S. (2005). Dynamics of the King and Jarrat iterations. Aequationes Math. 69: 212\u2013223","journal-title":"Aequationes Math."},{"key":"88_CR2","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1016\/j.amc.2005.11.055","volume":"178","author":"C. Chun","year":"2006","unstructured":"Chun C. (2006). A new iterative method for solving nonlinear equations. Appl. Math. Comput. 178: 415\u2013422","journal-title":"Appl. Math. Comput."},{"key":"88_CR3","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/s00211-006-0025-2","volume":"104","author":"C. Chun","year":"2006","unstructured":"Chun C. (2006). Construction of Newton-like iteration methods for solving nonlinear equations. Numer. Math. 104: 297\u2013315","journal-title":"Numer. Math."},{"key":"88_CR4","doi-asserted-by":"crossref","unstructured":"Chun, C.: A family of composite fourth oredr iterative methods for solving nonlinear equations. Appl. Math. Comput. doi:10.1016\/j.amc.2006.09.009 (2006)","DOI":"10.1016\/j.amc.2006.09.009"},{"key":"88_CR5","volume-title":"Numerical Analysis. An Introduction","author":"W. Gautschi","year":"1997","unstructured":"Gautschi W. (1997). Numerical Analysis. An Introduction. Birkh\u00e4user Boston, Inc., Boston"},{"key":"88_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1026100500306","volume":"34","author":"M. Grau","year":"2003","unstructured":"Grau M. (2003). An improvement to the computing of nonlinear equation solutions. Numer. Algorithms 34: 1\u201312","journal-title":"Numer. Algorithms"},{"key":"88_CR7","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1016\/S0893-9659(04)90119-X","volume":"17","author":"M. Grau","year":"2004","unstructured":"Grau M., Noguera M. (2004). A variant of Cauchy\u2019s method with accelerated fifth-order convergence. Appl. Math. Lett. 17: 509\u2013517","journal-title":"Appl. Math. Lett."},{"key":"88_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jmaa.2005.09.086","volume":"315","author":"M. Grau","year":"2006","unstructured":"Grau M., D\u00edaz-Barrero J.L. (2006). An improvement of the Euler\u2013Chebyshev iterative method. J. Math. Anal. Appl. 315: 1\u20137","journal-title":"J. Math. Anal. Appl."},{"key":"88_CR9","first-page":"450","volume":"173","author":"M. Grau","year":"2006","unstructured":"Grau M., D\u00edaz-Barrero J.L. (2006). An improvement to Ostrowski root-finding method. Appl. Math. Comput. 173: 450\u2013456","journal-title":"Appl. Math. Comput."},{"key":"88_CR10","first-page":"402","volume":"181","author":"M. Grau-S\u00e1nchez","year":"2006","unstructured":"Grau-S\u00e1nchez M., D\u00edaz-Barrero J.L. (2006). On computational efficiency for multi-precision zero-finding methods. Appl. Math. Comput. 181: 402\u2013412","journal-title":"Appl. Math. Comput."},{"key":"88_CR11","doi-asserted-by":"crossref","unstructured":"Grau-S\u00e1nchez, M., D\u00edaz-Barrero, J.L.: A weighted variant family of Newton\u2019s method with accelerated third-order convergence. Appl. Math. Comput. doi:10.1016\/j.amc.2006.08.041 (2006)","DOI":"10.1016\/j.amc.2006.08.041"},{"key":"88_CR12","doi-asserted-by":"crossref","first-page":"876","DOI":"10.1137\/0710072","volume":"10","author":"R.F. King","year":"1973","unstructured":"King R.F. (1973). A family of fourth-order methods for nonlinear equations. SIAM J. Numer. Anal. 10: 876\u2013879","journal-title":"SIAM J. Numer. Anal."},{"key":"88_CR13","unstructured":"Kou, J.S., Li, Y.T.: A variant of Jarrat\u2019s method with accelerated sixth-order convergence. Int. J. Comput. Math. (in press) (2006)"},{"key":"88_CR14","doi-asserted-by":"crossref","unstructured":"Kou, J.S., Li, Y.T., Wang, X.H.: A family of fifth-order iterations composed of Newton and third-order methods. Appl. Math. Comput. doi:10.1016\/j.amc.2006.07.150 (2006)","DOI":"10.1016\/j.amc.2006.07.150"},{"key":"88_CR15","doi-asserted-by":"crossref","unstructured":"Kou, J.S., Li, Y.T., Wang, X.H.: A composite fourth-order iterative method for solving nonlinear equations. Appl. Math. Comput. doi:10.1016\/j.amc.2006.05.181 (2006)","DOI":"10.1016\/j.amc.2006.05.181"},{"key":"88_CR16","doi-asserted-by":"crossref","unstructured":"Kou, J.S., Li, Y.T., Wang, X.H.: Some variants of Ostrowski\u2019s method with seventh-order convergence. J. Comput. Appl. Math. doi:10.1016\/j.cam.2006.10.073 (2006)","DOI":"10.1016\/j.cam.2006.10.073"},{"key":"88_CR17","volume-title":"Solutions of Equations and System of Equations","author":"A.M. Ostrowski","year":"1960","unstructured":"Ostrowski A.M. (1960). Solutions of Equations and System of Equations. Academic, New York"},{"key":"88_CR18","volume-title":"A First Course in Numerical Analysis","author":"A. Ralston","year":"1965","unstructured":"Ralston A. (1965). A First Course in Numerical Analysis. McGraw\u2013Hill, New York"},{"key":"88_CR19","volume-title":"Iterative Methods for the Solution of Equations","author":"J.F. Traub","year":"1964","unstructured":"Traub J.F. (1964). Iterative Methods for the Solution of Equations. Prentice\u2013Hall, Englewood Cliffs"}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-007-0088-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-007-0088-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-007-0088-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T16:22:39Z","timestamp":1558628559000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-007-0088-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,5,26]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,6,28]]}},"alternative-id":["88"],"URL":"https:\/\/doi.org\/10.1007\/s00211-007-0088-8","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,5,26]]}}}