{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T22:05:56Z","timestamp":1775167556369,"version":"3.50.1"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,1,12]],"date-time":"2017-01-12T00:00:00Z","timestamp":1484179200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2017,9]]},"DOI":"10.1007\/s11075-016-0254-0","type":"journal-article","created":{"date-parts":[[2017,1,12]],"date-time":"2017-01-12T05:07:06Z","timestamp":1484197626000},"page":"283-307","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["New efficient derivative free family of seventh-order methods for solving systems of nonlinear equations"],"prefix":"10.1007","volume":"76","author":[{"given":"Mona","family":"Narang","sequence":"first","affiliation":[]},{"given":"Saurabh","family":"Bhatia","sequence":"additional","affiliation":[]},{"given":"Vinay","family":"Kanwar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,1,12]]},"reference":[{"key":"254_CR1","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.cam.2007.05.008","volume":"216","author":"V Alarc\u00f3n","year":"2008","unstructured":"Alarc\u00f3n, V., Amat, S., Busquier, S., L\u00f3pez, D.J.: A Steffensen\u2019s type method in Banach spaces with applications on boundary-value problems. J. Comput. Appl. Math. 216, 243\u2013250 (2008)","journal-title":"J. Comput. Appl. Math."},{"key":"254_CR2","unstructured":"Argyros, I.: Computational Theory of Iterative Methods Methods. In: Chui, C.K., Wuytack, L. (eds.) Series: Studies in Computational Mathematics, vol. 15. Elsevier Publ. Co., New York (2007)"},{"key":"254_CR3","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., Mart\u00ednez, E., Torregrosa, J.R.: A modified Newton-Jarratt\u2019s composition. Numer. Algor. 55, 87\u201399 (2010)","journal-title":"Numer. Algor."},{"issue":"2","key":"254_CR4","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1145\/1236463.1236468","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). Art. 13","journal-title":"ACM Trans. Math. Softw."},{"issue":"49","key":"254_CR5","first-page":"342","volume":"I","author":"A Genocchi","year":"1869","unstructured":"Genocchi, A.: Relation entre la diff\u00e9rence et la d\u00e9riv\u00e9e d\u2019un m\u00eame ordre quelconque. Arch. Math. Phys. I(49), 342\u2013345 (1869)","journal-title":"Arch. Math. Phys."},{"key":"254_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, \u00c0., 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":"254_CR7","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/j.cam.2012.06.005","volume":"237","author":"M Grau-S\u00e1nchez","year":"2013","unstructured":"Grau-S\u00e1nchez, M., Noguera, M., Amat, S.: On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods. J. Comput. Appl. Math. 237, 363\u2013372 (2013)","journal-title":"J. Comput. Appl. Math."},{"key":"254_CR8","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1515\/crll.1878.84.70","volume":"84","author":"C Hermite","year":"1878","unstructured":"Hermite, C.: Sur la formule d\u2019interpolation de Lagrange. J. Reine Angew. Math. 84, 70\u201379 (1878)","journal-title":"J. Reine Angew. Math."},{"key":"254_CR9","doi-asserted-by":"crossref","first-page":"422","DOI":"10.1023\/A:1021902825707","volume":"41","author":"LO Jay","year":"2001","unstructured":"Jay, L.O.: A note on Q-order of convergence. BIT 41, 422\u2013429 (2001)","journal-title":"BIT"},{"key":"254_CR10","doi-asserted-by":"crossref","unstructured":"Kelley, C.T.: Solving nonlinear equations with newton\u2019s method. SIAM Philadelphia (2003)","DOI":"10.1137\/1.9780898718898"},{"key":"254_CR11","doi-asserted-by":"crossref","first-page":"1978","DOI":"10.1016\/j.amc.2010.03.028","volume":"216","author":"Z Liu","year":"2010","unstructured":"Liu, Z., Zheng, Q., Zhao, P.: A variant of Steffensen\u2019s method of fourth-order convergence and its applications. Appl. Math. Comput. 216, 1978\u20131983 (2010)","journal-title":"Appl. Math. Comput."},{"key":"254_CR12","unstructured":"Ortega, J.M., Rheinboldt, W.G.: Iterative Solution of Nonlinear Equations in Several Variables. Academic, New York (1970)"},{"key":"254_CR13","volume-title":"Solutions of Equations and System of Equations","author":"AM Ostrowski","year":"1960","unstructured":"Ostrowski, A.M.: Solutions of Equations and System of Equations. Academic, New York (1960)"},{"key":"254_CR14","volume-title":"Nondiscrete Induction and Iterarive Processes","author":"FA Potra","year":"1984","unstructured":"Potra, F.A., Pt\u00e1k, V.: Nondiscrete Induction and Iterarive Processes. Pitman Publishing, Boston (1984)"},{"key":"254_CR15","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1016\/j.amc.2008.12.039","volume":"209","author":"H Ren","year":"2009","unstructured":"Ren, H., Wu, Q., Bi, W.: A class of two-step Steffensen type methods with fourth-order convergence. Appl. Math. Comput. 209, 206\u2013210 (2009)","journal-title":"Appl. Math. Comput."},{"key":"254_CR16","unstructured":"Sauer, T.: Numerical analysis, 2nd edn. Pearson, USA (2012)"},{"key":"254_CR17","doi-asserted-by":"crossref","first-page":"390","DOI":"10.2298\/AADM130725016S","volume":"7","author":"JR Sharma","year":"2013","unstructured":"Sharma, J.R., Arora, H.: An efficient derivative free iterative method for solving systems of nonlinear equations. Appl. Anal. Discrete Math. 7, 390\u2013403 (2013)","journal-title":"Appl. Anal. Discrete Math."},{"key":"254_CR18","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1007\/s11075-014-9832-1","volume":"4","author":"JR Sharma","year":"2014","unstructured":"Sharma, J.R., Arora, H.: A novel derivative free algorithm with seventh order convergence for solving systems of nonlinear equations. Numer. Algor. 4, 917\u2013933 (2014)","journal-title":"Numer. Algor."},{"key":"254_CR19","first-page":"11","volume-title":"Efficient Family of Traub-Steffensen-Type Methods for Solving Systems of Nonlinear Equations. Advances in Numerical Analysis. Article ID 152187","author":"JR Sharma","year":"2014","unstructured":"Sharma, J.R., Gupta, P.: Efficient Family of Traub-Steffensen-Type Methods for Solving Systems of Nonlinear Equations. Advances in Numerical Analysis. Article ID 152187, p 11 (2014)"},{"key":"254_CR20","first-page":"269","volume":"35","author":"JR Sharma","year":"2016","unstructured":"Sharma, J.R., Arora, H.: Efficient derivative-free numerical methods for solving systems of nonlinear equations. Comp. Appl. Math. 35, 269\u2013284 (2016). doi: 10.1007\/s40314-014-0193-0","journal-title":"Comp. Appl. Math."},{"key":"254_CR21","first-page":"64","volume":"16","author":"JF Steffensen","year":"1933","unstructured":"Steffensen, J.F.: Remarks on iteration. Skand Aktuar Tidsr. 16, 64\u201372 (1933)","journal-title":"Skand Aktuar Tidsr."},{"key":"254_CR22","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 Jersey (1964)"},{"key":"254_CR23","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1007\/s11075-012-9597-3","volume":"62","author":"X Wang","year":"2013","unstructured":"Wang, X., Zhang, T.: A family of Steffensen type methods with seventh-order convergence. Numer. Algor. 62, 429\u2013444 (2013)","journal-title":"Numer. Algor."},{"key":"254_CR24","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1007\/s11075-015-9960-2","volume":"70","author":"X Wang","year":"2015","unstructured":"Wang, X., Zhang, T., Qian, W., Teng, M.: Seventh-order derivative-free iterative method for solving nonlinear systems. Numer. Algor. 70, 545\u2013558 (2015)","journal-title":"Numer. Algor."},{"key":"254_CR25","unstructured":"Wolfram, S.: The Mathematica Book, 5th ed. Wolfram Media (2003)"},{"key":"254_CR26","doi-asserted-by":"crossref","first-page":"8196","DOI":"10.1016\/j.amc.2011.01.095","volume":"217","author":"Q Zheng","year":"2011","unstructured":"Zheng, Q., Zhao, P., Huang, F.: A family of fourth-order Steffensen-type methods with the applications on solving nonlinear ODEs. Appl. Math. Comput. 217, 8196\u20138203 (2011)","journal-title":"Appl. Math. Comput."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-016-0254-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0254-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-016-0254-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T22:31:27Z","timestamp":1601332287000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-016-0254-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1,12]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,9]]}},"alternative-id":["254"],"URL":"https:\/\/doi.org\/10.1007\/s11075-016-0254-0","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1,12]]}}}