THE THEORY OF SMALE''S POINT ESTIMATION AND THE CONVERGENCE OF DURAND-KERNER PROGRAM
Smale点估计理论与Durand—Kerner程序的收敛性

In this paper, by making use of the exacted Smale's point estimation theory, we study theconvergence of the Durand-Kerner program, which can be used to found all the zeropoints ofa given complex polynomial simultaneously, and conclude some computable point estimationconditions. When these conditions are compared with the existed one's, it shows that our estima-tion method is really much more precise and of rather superiority.