FAQs of Newton Raphson Method

Q1: Define Newton Raphson Method.

Answer:

Newton Raphson Method is a numerical method to approximate the roots of any given real-valued function. In this method, we used various iterations to approximate the roots, and the higher the number of iterations the less error in the value of the calculated root.

Q2: What is the Advantage of Newton Raphson Method?

Answer:

Newton Raphson method has an advantage that it allows us to guess the roots of an equation with a small degree very efficiently and quickly.

Q3: What is the Disadvantage of Newton Raphson Method?

Answer:

The disadvantage of Newton Raphson method is that it tends to become very complex when the degree of the polynomial becomes very large.

Q4: State any real-life application of Newton Raphson’s Method.

Answer:

Newton Raphson method is used to analyse the flow of water in water distribution networks in real life.

Q5: Which theory is the Newton-Raphson Method based upon?

Answer:

Newton Raphson method is based upon the theory of calculus and tangent to a curve.

Newton Raphson Method or Newton Method is a powerful technique for solving equations numerically. It is most commonly used for approximation of the roots of the real-valued functions. Newton Rapson Method was developed by Isaac Newton and Joseph Raphson, hence the name Newton Rapson Method. 

Newton Raphson Method involves iteratively refining an initial guess to converge it toward the desired root. However, the method is not efficient to calculate the roots of the polynomials or equations with higher degrees but in the case of small-degree equations, this method yields very quick results. In this article, we will learn about Newton Raphson Method and the steps to calculate the roots using this method as well.