{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,29]],"date-time":"2025-05-29T04:45:00Z","timestamp":1748493900244},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2013,11,2]],"date-time":"2013-11-02T00:00:00Z","timestamp":1383350400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2014,9]]},"DOI":"10.1007\/s11075-013-9784-x","type":"journal-article","created":{"date-parts":[[2013,11,1]],"date-time":"2013-11-01T08:11:52Z","timestamp":1383293512000},"page":"223-242","source":"Crossref","is-referenced-by-count":23,"title":["Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs"],"prefix":"10.1007","volume":"67","author":[{"given":"Malik Zaka","family":"Ullah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fazlollah","family":"Soleymani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. S.","family":"Al-Fhaid","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,11,2]]},"reference":[{"key":"9784_CR1","unstructured":"Babajee, D.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, University of Mauritius (2010)"},{"key":"9784_CR2","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1007\/s11075-009-9314-z","volume":"53","author":"DKR Babajee","year":"2010","unstructured":"Babajee, D.K.R., Dauhoo, M.Z.: Convergence and spectral analysis of the Frontini-Sormani family of multipoint third order methods from Quadrature rule. Numer. Algor. 53, 467\u2013484 (2010)","journal-title":"Numer. Algor."},{"key":"9784_CR3","first-page":"12","volume":"2012","author":"DKR Babajee","year":"2012","unstructured":"Babajee, D.K.R., Cordero, A., Soleymani, F., Torregrosa, J.R.: On a novel fourth-order algorithm for solving systems of nonlinear equations. J. Appl. Math. 2012, 12 (2012). Article ID 165452","journal-title":"J. Appl. Math."},{"key":"9784_CR4","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/s11075-009-9359-z","volume":"55","author":"A Cordero","year":"2010","unstructured":"Cordero, A., Hueso, J.L., Martinez, E., Torregrosa, J.R.: A modified Newton-Jarratt\u2019s composition. Numer. Algor. 55, 87\u201399 (2010)","journal-title":"Numer. Algor."},{"key":"9784_CR5","doi-asserted-by":"crossref","first-page":"2143","DOI":"10.1090\/S0025-5718-2011-02462-2","volume":"80","author":"BH Dayton","year":"2011","unstructured":"Dayton, B.H., Li, T.-Y., Zeng, Z.: Multiple zeros of nonlinear systems. Math. Comput. 80, 2143\u20132168 (2011)","journal-title":"Math. Comput."},{"key":"9784_CR6","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/BF01395307","volume":"42","author":"DW Decker","year":"1983","unstructured":"Decker, D.W., Kelley, C.T.: Sublinear convergence of the Chord method at singular points. Numer. Math. 42, 147\u2013154 (1983)","journal-title":"Numer. Math."},{"key":"9784_CR7","doi-asserted-by":"crossref","first-page":"2000","DOI":"10.1016\/j.nonrwa.2008.03.006","volume":"10","author":"MJ Hirsch","year":"2009","unstructured":"Hirsch, M.J., Pardalos, P.M., Resende, M.G.C.: Solving systems of nonlinear equations with continuous GRASP. Nonlinear Anal. Real World Appl. 10, 2000\u20132006 (2009)","journal-title":"Nonlinear Anal. Real World Appl."},{"key":"9784_CR8","volume-title":"Iterative solution of nonlinear equations in several variables","author":"JM Ortega","year":"1970","unstructured":"Ortega, J.M., Rheinboldt, W.C.: Iterative solution of nonlinear equations in several variables. Academic Press, New York (1970)"},{"key":"9784_CR9","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.swevo.2011.12.001","volume":"4","author":"E Pourjafari","year":"2012","unstructured":"Pourjafari, E., Mojallali, H.: Solving nonlinear equations systems with a new approach based on invasive weed optimization algorithm and clustering. Swarm Evolut. Comput. 4, 33\u201343 (2012)","journal-title":"Swarm Evolut. Comput."},{"key":"9784_CR10","unstructured":"Sauer, T.: Numerical analysis, Pearson, 2nd edition, USA (2012)"},{"key":"9784_CR11","doi-asserted-by":"crossref","first-page":"1428","DOI":"10.1134\/S0965542507090047","volume":"47","author":"VS Semenov","year":"2007","unstructured":"Semenov, V.S.: The method of determining all real non-multiple roots of systems of nonlinear equations. Comput. Math. Math. Phys. 47, 1428\u20131434 (2007)","journal-title":"Comput. Math. Math. Phys."},{"key":"9784_CR12","doi-asserted-by":"crossref","unstructured":"Soheili, A.R., Soleymani, F., Petkovi\u0107, M.D.: On the computation of weighted Moore-Penrose inverse using a high-order matrix method. Comput. Math. Appl. (2013). doi: 10.1016\/j.camwa.2013.09.007","DOI":"10.1016\/j.camwa.2013.09.007"},{"key":"9784_CR13","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/j.amc.2013.07.039","volume":"222","author":"F Soleymani","year":"2013","unstructured":"Soleymani, F., Stanimirovi\u0107, P.S., Ullah, M.Z.: On an accelerated iterative method for weighted Moore-Penrose inverse. Appl. Math. Comput. 222, 365\u2013371 (2013)","journal-title":"Appl. Math. Comput."},{"issue":"708647","key":"9784_CR14","first-page":"11","volume":"2013","author":"F Soleymani","year":"2013","unstructured":"Soleymani, F., Stanimirovi\u0107, P.S.: A higher order iterative method for computing the Drazin inverse. Sci. World J. 2013, 11 (2013) Article ID 708647","journal-title":"Sci. World J."},{"key":"9784_CR15","unstructured":"Tadonki, C.: High performance computing as a combination of machines and methods and programming. Universite Paris Sud (2013)"},{"key":"9784_CR16","doi-asserted-by":"crossref","unstructured":"Toutounian, F., Soleymani, F.: An iterative method for computing the approximate inverse of a square matrix and the Moore-Penrose inverse of a non-square matrix. Appl. Math. Comput. 224 671\u2013680 (2013). doi: 10.1016\/j.amc.2013.08.086","DOI":"10.1016\/j.amc.2013.08.086"},{"key":"9784_CR17","volume-title":"Iterative methods for the solution of equations","author":"JF Traub","year":"1964","unstructured":"Traub, J.F.: Iterative methods for the solution of equations. Prentice Hall, New York (1964)"},{"key":"9784_CR18","doi-asserted-by":"crossref","first-page":"2465","DOI":"10.1016\/j.nonrwa.2009.08.003","volume":"11","author":"IG Tsoulos","year":"2010","unstructured":"Tsoulos, I.G., Stavrakoudis, A.: On locating all roots of systems of nonlinear equations inside bounded domain using global optimization methods. Nonlinear Anal. Real World Appl. 11, 2465\u20132471 (2010)","journal-title":"Nonlinear Anal. Real World Appl."},{"key":"9784_CR19","doi-asserted-by":"crossref","unstructured":"Wagon, S.: Mathematica in action, 3rd edn. Springer, Berlin (2010)","DOI":"10.1007\/978-0-387-75477-2"},{"key":"9784_CR20","first-page":"12","volume":"2011","author":"MY Waziri","year":"2011","unstructured":"Waziri, M.Y., Leong, W.J., Hassan, M.A., Monsi, M.: A low memory solver for integral equations of Chandrasekhar type in the radiative transfer problems. Math. Prob. Eng. 2011, 12 (2011) Article ID 467017","journal-title":"Math. Prob. Eng."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-013-9784-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-013-9784-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-013-9784-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T05:08:22Z","timestamp":1559365702000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-013-9784-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,2]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2014,9]]}},"alternative-id":["9784"],"URL":"https:\/\/doi.org\/10.1007\/s11075-013-9784-x","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,11,2]]}}}