The x- intercept of the tangent is calculated by using elementary algebra, and this calculated x-intercept is typically better approximation to the root of the function.
The theoretical and mathematical background behind Newton-Raphson method and its MATLAB program (or program in any programming language) is approximation of the given function by tangent line with the help of derivative, after choosing a guess value of root which is reasonably close to the actual root. Here, we are going to go through a sample program code for Newton Raphson method in MATLAB, along with a numerical example and theoretical background. We have already discussed C program and algorithm/flowchart for Newton’s method in earlier tutorials. It is often used to improve the value of the root obtained using other rooting finding methods in Numerical Methods.
It is also known as Newton’s method, and is considered as limiting case of secant method.īased on the first few terms of Taylor’s series, Newton-Raphson method is more used when the first derivation of the given function/equation is a large value. Newton-Raphson method, named after Isaac Newton and Joseph Raphson, is a popular iterative method to find the root of a polynomial equation.
