{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T18:40:11Z","timestamp":1758393611690},"reference-count":18,"publisher":"Walter de Gruyter GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>A generalized <jats:italic>k<\/jats:italic>-step iterative method from Steffensen\u2019s method with frozen divided\ndifference operator for solving a system of nonlinear equations is studied and the maximum computational efficiency is computed. Moreover, a sequence that approximates the order of convergence is generated for the examples and it confirms in a numerical way that the order of the method and the computational efficiency are both well deduced.\nBy using a technique based on recurrence relations, the semilocal convergence of the family is studied.\nFinally, some numerical experiments related to the approximation of nonlinear elliptic equations are reported.\nA comparison with other derivative-free families of iterative methods is carried out.<\/jats:p>","DOI":"10.1515\/cmam-2016-0039","type":"journal-article","created":{"date-parts":[[2016,12,21]],"date-time":"2016-12-21T10:01:35Z","timestamp":1482314495000},"page":"187-199","source":"Crossref","is-referenced-by-count":2,"title":["On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences"],"prefix":"10.1515","volume":"17","author":[{"given":"Sergio","family":"Amat","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics and Statistics, Technical University of Cartagena, 30203 Cartagena (Murcia), Spain"}]},{"given":"Sonia","family":"Busquier","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Statistics, Technical University of Cartagena, 30203 Cartagena (Murcia), Spain"}]},{"given":"Miquel","family":"Grau-S\u00e1nchez","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics II, Technical University of Catalonia, 08034 Barcelona, Spain"}]},{"given":"Miguel A.","family":"Hern\u00e1ndez-Ver\u00f3n","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computation, University of La Rioja, 26004 Logro\u00f1o, Spain"}]}],"member":"374","published-online":{"date-parts":[[2016,12,21]]},"reference":[{"key":"2023033114222321108_j_cmam-2016-0039_ref_001_w2aab3b7d487b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"Alarc\u00f3n V., Amat S., Busquier S. and L\u00f3pez D. 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