Here we are interpolating a polynomial y = f(x). Where (x0,y0), (x1,y2), (x3,y3),……. (xn,yn) are n+1 calculated point. Let their points are exist
Xi= x0+ih where i =1, 2, 3….n
Let
y = f(x) = a0(x-x1)(x-x2)(x-x3)……(x-xn)
Lagrange’s interpolation is an nth-degree polynomial approximation to f(x). we are discourse about the Lagrange interpolation and its formula. By using this formula we find the largest polynomial.
This method is quite similar to the Regula-falsi method except for the condition f(x1)f(x2)<0 In numerical analysis, the secant method is a root-finding procedure that uses a succession of roots of secant lines to better approximate the root of a function f.
Newton’s method is also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, it is a root-finding algorithm which produces better approximations to the roots of a real-valued function.
Regula Falsi Method In Numerical Method is the oldest method for finding the real root of an equation, and it is likely the same as the bisection method.
There are some questions in Bisection method in numerical techniques. Some questions like √3 and √2
In mathematics, the bisection method in numerical techniques is used to find the actual root of a function. That applies to any function for finding the root.
Introduction To Floating-Point Representation – Floating Point Representation is the scientific notation of binary numbers. Floating Point Representation is used for high-range values. It divides the number into three parts. The left-hand side represents a signed number and the right-hand side represents an exponent and the middle fixed point is called Mantissa.
Introduction to Numerical Techniques/ Analysis – Numerical techniques are the study of algorithms that are used for numerical approximation for the problems of mathematical analysis. A numerical method is complete and defines a set of methods for the solution of a problem, together with measurable error estimates. The study and implementation of such methods is the field of numerical analysis.
