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

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.