{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:14:16Z","timestamp":1758824056114},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Starting from suitable zero-relation, we derive higher-order iterative methods\nfor the simultaneous inclusion of polynomial multiple zeros in circular complex\ninterval arithmetic. The convergence rate is increased using a family of two-point\nmethods of the fourth order for solving nonlinear equations as a predictor. The methods\nare more efficient compared to existing inclusion methods for multiple zeros, based\non fixed point relations. Using the concept of the <jats:bold>R<\/jats:bold>-order of convergence of mutually\ndependent sequences, we present the convergence analysis of the total-step and the\nsingle-step methods. The proposed self-validated methods possess a great computational\nefficiency since the acceleration of the convergence rate from four to seven is\nachieved only by a few additional calculations. To demonstrate convergence behavior\nof the presented methods, two numerical examples are given.<\/jats:p>","DOI":"10.2478\/cmam-2012-0022","type":"journal-article","created":{"date-parts":[[2013,2,13]],"date-time":"2013-02-13T12:23:49Z","timestamp":1360758229000},"page":"351-366","source":"Crossref","is-referenced-by-count":3,"title":["Efficient Halley-like Methods for the Inclusion of Multiple Zeros of Polynomials"],"prefix":"10.2478","volume":"12","author":[{"given":"Miodrag S.","family":"Petkovi\u0107","sequence":"first","affiliation":[{"name":"1University of Ni\u0161, Faculty of Electronic Engineering, Department of Mathematics, 18 000 Ni\u0161, Serbia."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mimica R.","family":"Milo\u0161evi\u0107","sequence":"additional","affiliation":[{"name":"2University of Ni\u0161, Faculty of Science, Department of Mathematics, 18 000 Ni\u0161, Serbia."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/12\/3\/article-p351.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2012-0022\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:22:28Z","timestamp":1619101348000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/12\/3\/article-p351.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":0,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2012-0022","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}