The behaviour of approximations of the SOR Weierstrass method
The Weierstrass method is one of the most efficient methods for the simultaneous approximation of the simple roots of a polynomial. The choice of initial approximations plays a crucial role in the applications. Practical experience shows that the method converges for almost all distinct initial values. This paper deals with the successive overrelaxation (SOR) Weierstrass method with acceleration parameter. It is shown that for a given polynomial and acceleration parameter, there exists a unique divergence point from \(\mathbb{C}\). This is a very interesting result.
scientific article; zbMATH DE number 980334
scientific article