{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T03:38:12Z","timestamp":1769830692930,"version":"3.49.0"},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,11,6]],"date-time":"2012-11-06T00:00:00Z","timestamp":1352160000000},"content-version":"vor","delay-in-days":310,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100006280","name":"Ministerio de Ciencia y Tecnolog\u00eda","doi-asserted-by":"publisher","award":["MTM2011-28636-C02-02."],"award-info":[{"award-number":["MTM2011-28636-C02-02."]}],"id":[{"id":"10.13039\/501100006280","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>This paper focuses on solving systems of nonlinear equations numerically. We propose an efficient iterative scheme including two steps and fourth order of convergence. The proposed method does not require the evaluation of second or higher order Frechet derivatives per iteration to proceed and reach fourth order of convergence. Finally, numerical results illustrate the efficiency of the method.<\/jats:p>","DOI":"10.1155\/2012\/165452","type":"journal-article","created":{"date-parts":[[2012,11,11]],"date-time":"2012-11-11T06:31:06Z","timestamp":1352615466000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["On a Novel Fourth\u2010Order Algorithm for Solving Systems of Nonlinear Equations"],"prefix":"10.1155","volume":"2012","author":[{"given":"Diyashvir K. R.","family":"Babajee","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alicia","family":"Cordero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fazlollah","family":"Soleymani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan R.","family":"Torregrosa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,11,6]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.09.035"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.09.115"},{"key":"e_1_2_7_3_2","first-page":"109","article-title":"A biparametric family of inverse-free multipoint iterations","volume":"19","author":"Ezquerro J. A.","year":"2000","journal-title":"Computational & Applied Mathematics"},{"key":"e_1_2_7_4_2","volume-title":"Iterative Methods for the Solution of Equations","author":"Traub J. F.","year":"1964"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2011.10.030"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.11.018"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2011-02462-2"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-008-9227-2"},{"key":"e_1_2_7_9_2","unstructured":"NoorM. A. WaseemM. NoorK. I. andAl-SaidE. Variational iteration technique for solving a system of nonlinear equations Optimization Letters. In presshttps:\/\/doi.org\/10.1007\/s11590%2D012%2D0479%2D3."},{"key":"e_1_2_7_10_2","volume-title":"Generalized Inverses","author":"Ben-Israel A.","year":"2003"},{"key":"e_1_2_7_11_2","first-page":"3403","article-title":"An efficient solver for systems of nonlinear equations with singular Jacobian via diagonal updating","volume":"4","author":"Waziri M. Y.","year":"2010","journal-title":"Applied Mathematical Sciences"},{"key":"e_1_2_7_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(03)00178-4"},{"key":"e_1_2_7_13_2","unstructured":"BabajeeD. K. R. Analysis of higher order variants of Newton\u2019s method and their applications to differential and integral equations and in ocean acidification [Ph.D. thesis] 2010 University of Mauritius."},{"key":"e_1_2_7_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-009-9359-z"},{"key":"e_1_2_7_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.01.062"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/165452.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/165452.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/165452","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:48:49Z","timestamp":1718088529000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/165452"}},"subtitle":[],"editor":[{"given":"Changbum","family":"Chun","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/165452"],"URL":"https:\/\/doi.org\/10.1155\/2012\/165452","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-07-23","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-10-10","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-11-06","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"165452"}}