Article ID Journal Published Year Pages File Type
4602921 Linear Algebra and its Applications 2008 21 Pages PDF
Abstract

Two one parameter families of iterative methods for the simultaneous determination of simple zeros of algebraic polynomials are presented. The construction of these families are based on a one parameter family of the third order for finding a single root of nonlinear equation f(x)=0. Some previously derived simultaneous methods can be obtained from the presented families as special cases. We prove that the local convergence of the proposed families is of the order four. Numerical results are included to demonstrate the convergence properties of considered methods.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory