{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T00:34:34Z","timestamp":1772152474272,"version":"3.50.1"},"reference-count":34,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,6,28]],"date-time":"2018-06-28T00:00:00Z","timestamp":1530144000000},"content-version":"vor","delay-in-days":178,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["MTM2014-52016-C2-2-P"],"award-info":[{"award-number":["MTM2014-52016-C2-2-P"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003359","name":"Generalitat Valenciana","doi-asserted-by":"publisher","award":["PROMETEO\/2016\/089"],"award-info":[{"award-number":["PROMETEO\/2016\/089"]}],"id":[{"id":"10.13039\/501100003359","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>We construct a new biparametric three\u2010point method with memory to highly improve the computational efficiency of its original partner, without adding functional evaluations. In this way, through different estimations of self\u2010accelerating parameters, we have modified an existing seventh\u2010order method. The parameters have been defined by Hermite interpolating polynomial that allows the accelerating effect. In particular, the <jats:italic>R<\/jats:italic>\u2010order of the proposed iterative method with memory is increased from seven to ten. A real multidimensional analysis of the stability of this method with memory is made, in order to study its dependence on the initial estimations. Taking into account that usually iterative methods with memory are more stable than their derivative\u2010free partners and the obtained results in this study, the behavior of this scheme shows to be excellent, but for a small domain. Numerical examples and comparison are also provided, confirming the theoretical results.<\/jats:p>","DOI":"10.1155\/2018\/1232341","type":"journal-article","created":{"date-parts":[[2018,6,28]],"date-time":"2018-06-28T23:30:58Z","timestamp":1530228658000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Dynamical Techniques for Analyzing Iterative Schemes with Memory"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6349-4904","authenticated-orcid":false,"given":"Neha","family":"Choubey","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7462-9173","authenticated-orcid":false,"given":"A.","family":"Cordero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4308-2280","authenticated-orcid":false,"given":"J. 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