%0 Journal Article %T ON A FAMILY OF GLOBALLY CONVERGENT ITERATION PROCESSES FOR FINDING REAL ZEROS OF ENTIRE FUNCTIONS
关于整函数求实零点的一族大范围收敛的迭代法 %A 徐利治 %A 陈永昌 %J 计算数学 %D 1980 %I %X This paper offers a family of globally convergent iteration methods whichcan be used to find real zeros of entire functions with any finite order. Both the m-th rootiteration method and the generalized Halley iteration formula have been shown to be the specialcases of our formula (4). Finally, an appropriate modification has been given of the well-knownsquare root iteration method (6) that was first published by L. C. Hsu and A. M. Ostrowski,independently of each other, in the same year 1973. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=88B24B3E6E40A20E&yid=E56875464B1C0EC1&vid=0B39A22176CE99FB&iid=0B39A22176CE99FB&sid=9D453329DCCABB94&eid=E114CF9BB47B65BE&journal_id=0254-7791&journal_name=计算数学&referenced_num=2&reference_num=0