Numerical Solutions of Algebraic Equations Given by Vieta and Raphson and Newton-Raphson Method

Abstract

We first consider the difference of numerical solutions for algebraic equations given by Vieta and Raphson. Second, we discuss the differences between the methods to solve the algebraic equations, one is pro- posed by Newton and another is proposed by Raphson. Considering the two facts, we make an attempt to evaluate the Raphson's achievements in this field.