A new iteration method for solving algebraic equations

摘要

In this paper, a nonlinear algebraic equation f(x)=0, by applying Taylor's theorem, is converted into a coupled iteration systemL(xn+1)+g(xn)=0andg(xn)=f(xn)−L(xn),whereL(x)=Ax2+Bx+C.The formula is of high convergence. Some examples are given.