{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T16:38:52Z","timestamp":1783442332909,"version":"3.54.6"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,6,21]],"date-time":"2011-06-21T00:00:00Z","timestamp":1308614400000},"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":[[2011,10]]},"DOI":"10.1007\/s10957-011-9870-y","type":"journal-article","created":{"date-parts":[[2011,6,20]],"date-time":"2011-06-20T19:20:53Z","timestamp":1308597653000},"page":"163-174","source":"Crossref","is-referenced-by-count":25,"title":["On Iterative Methods with Accelerated Convergence for Solving Systems of Nonlinear Equations"],"prefix":"10.1007","volume":"151","author":[{"given":"J. A.","family":"Ezquerro","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Grau-S\u00e1nchez","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Grau","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M. A.","family":"Hern\u00e1ndez","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Noguera","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"N.","family":"Romero","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2011,6,21]]},"reference":[{"key":"9870_CR1","volume-title":"Solutions of Equations in Euclidean and Banach Spaces","author":"A.M. Ostrowski","year":"1973","unstructured":"Ostrowski, A.M.: Solutions of Equations in Euclidean and Banach Spaces. Academic Press, New York (1973)"},{"issue":"5","key":"9870_CR2","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/0893-9659(94)90071-X","volume":"7","author":"I.K. Argyros","year":"1994","unstructured":"Argyros, I.K., Chen, D., Qian, Q.: A local convergence theorem for the super-Halley method in a Banach space. Appl. Math. Lett. 7(5), 49\u201352 (1994)","journal-title":"Appl. Math. Lett."},{"key":"9870_CR3","volume-title":"Iterative Methods for the Solution of Equations","author":"J.F. Traub","year":"1964","unstructured":"Traub, J.F.: Iterative Methods for the Solution of Equations. Prentice-Hall, Englewood Cliffs (1964)"},{"key":"9870_CR4","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.: An improvement of the Euler\u2013Chebyshev iterative method. J.\u00a0Math. Anal. Appl. 315, 1\u20137 (2006)","journal-title":"J.\u00a0Math. Anal. Appl."},{"key":"9870_CR5","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1007\/BF01444024","volume":"2","author":"E. Schr\u00f6der","year":"1870","unstructured":"Schr\u00f6der, E.: \u00dcber unendlich viele Algorithmen zur Aufl\u00f6sung der Gleichungen. Math. Ann. 2, 317\u2013365 (1870)","journal-title":"Math. Ann."},{"key":"9870_CR6","doi-asserted-by":"crossref","first-page":"1739","DOI":"10.1016\/j.cam.2010.09.019","volume":"235","author":"M. Grau-S\u00e1nchez","year":"2011","unstructured":"Grau-S\u00e1nchez, M., Grau, A., Noguera, M.: Frozen divided difference scheme for solving systems of nonlinear equations. J. Comput. Appl. Math. 235, 1739\u20131743 (2011)","journal-title":"J. Comput. Appl. Math."},{"key":"9870_CR7","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1007\/BF01396659","volume":"36","author":"F.A. Potra","year":"1981","unstructured":"Potra, F.A., Pt\u00e1k, V.: A generalization of Regula Falsi. Numer. Math. 36, 333\u2013346 (1981)","journal-title":"Numer. Math."},{"key":"9870_CR8","series-title":"Research Notes in Mathematics","volume-title":"Nondiscrete Induction and Iterative Processes","author":"F.A. Potra","year":"1984","unstructured":"Potra, F.A., Pt\u00e1k, V.: Nondiscrete Induction and Iterative Processes. Research Notes in Mathematics, vol.\u00a0103. Wiley, Boston\u2013London\u2013Melbourne (1984)"},{"key":"9870_CR9","doi-asserted-by":"crossref","DOI":"10.1201\/9781420050066","volume-title":"Handbook of Integral Equations","author":"A.D. Polyanin","year":"1998","unstructured":"Polyanin, A.D., Manzhirov, A.V.: Handbook of Integral Equations. CRC Press, Boca Rat\u00f3n (1998)"},{"key":"9870_CR10","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0893-9659(00)00100-2","volume":"13","author":"S. Weerakoon","year":"2000","unstructured":"Weerakoon, S., Fernando, T.G.I.: A variant of Newton\u2019s method with accelerated third-order convergence. Appl. Math. Lett. 13, 87\u201393 (2000)","journal-title":"Appl. Math. Lett."},{"key":"9870_CR11","volume-title":"Radiative Transfer","author":"D. Chandrasekhar","year":"1960","unstructured":"Chandrasekhar, D.: Radiative Transfer. Dover, New York (1960)"},{"issue":"2","key":"9870_CR12","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1017\/S0004972700009953","volume":"32","author":"I.K. Argyros","year":"1985","unstructured":"Argyros, I.K.: Quadratic equations and applications to Chandrasekhar\u2019s and related equations. Bull. Aust. Math. Soc. 32(2), 275\u2013292 (1985)","journal-title":"Bull. Aust. Math. Soc."},{"key":"9870_CR13","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/BF01837974","volume":"35","author":"I.K. Argyros","year":"1988","unstructured":"Argyros, I.K.: On a class of nonlinear integral equations arising in neutron transport. Aequ. Math. 35, 99\u2013111 (1988)","journal-title":"Aequ. Math."},{"key":"9870_CR14","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1080\/01630569908816917","volume":"20","author":"J.A. Ezquerro","year":"1999","unstructured":"Ezquerro, J.A., Guti\u00e9rrez, J.M., Hern\u00e1ndez, M.A., Salanova, M.A.: Solving nonlinear integral equations arising in radiative transfer. Numer. Funct. Anal. Optim. 20, 661\u2013673 (1999)","journal-title":"Numer. Funct. Anal. Optim."},{"issue":"2","key":"9870_CR15","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1145\/1236463.1236470","volume":"33","author":"L. Fousse","year":"2007","unstructured":"Fousse, L., Hanrot, G., Lef\u00e8vre, V., P\u00e9lissier, P., Zimmermann, P.: MPFR: a multiple-precision binary floating-point library with correct rounding. ACM Trans. Math. Softw. 33(2), 15 (2007)","journal-title":"ACM Trans. Math. Softw."},{"key":"9870_CR16","unstructured":"http:\/\/www.mpfr.org\/mpfr-2.1.0\/timings.html"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-011-9870-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-011-9870-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-011-9870-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T05:55:11Z","timestamp":1559454911000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-011-9870-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6,21]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,10]]}},"alternative-id":["9870"],"URL":"https:\/\/doi.org\/10.1007\/s10957-011-9870-y","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,6,21]]}}}