2021-01-22T19:47:55Zhttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_oaipmhoai:ipsj.ixsq.nii.ac.jp:000595982017-03-31T05:36:57Z05471:05474:05475
On the Global Convergence of Some Iterative FormulasOn the Global Convergence of Some Iterative Formulasenghttp://id.nii.ac.jp/1001/00059598/Articlehttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_action_common_download&item_id=59598&item_no=1&attribute_id=1&file_no=1Copyright (c) 1993 by the Information Processing Society of JapanDepartment of Mathematics Kobe University of Mercantile MarineTakahiko, MurakamiWe showed two types of third order iterative formulas containing two parameters. Let f (x) be a polynomial with only real zeros or an entire function or a certain type with only real zeros. Then we established that the one type of the above-mentioned iterative formulas converges globally and monotonically to the zeros of the f (x). The purpose of this paper is to show that the other type also converges globally and monotonically to the zeros of the f (x).We showed two types of third order iterative formulas containing two parameters. Let f (x) be a polynomial with only real zeros or an entire function or a certain type with only real zeros. Then we established that the one type of the above-mentioned iterative formulas converges globally and monotonically to the zeros of the f (x). The purpose of this paper is to show that the other type also converges globally and monotonically to the zeros of the f (x).AA00700121Journal of Information Processing 15EX27301993-03-311882-66522009-06-30