What is the machine epsilon? Computer systems are the digital systems. Every information that is represented in computer is always limited in its representation in terms of the number of bits available. Every machine (calculator, computer) has specific number of bits reserved for representing a number. Real numbers are represented as floats in computers. There are two ways for representing real numbers in computers:

# Category: Numerical analysis

## What is the method of false position? Drive formula of it.

This is one of the iterative methods that give you the root if the function changes its sign: from positive to negative or from negative to positive. Despite the fact that bisection is an entirely legitimate strategy for determining roots, its “brute force” approach is generally inefficient. False position is based on graphical approach. A shortcoming of the bisection method is that, in dividing the interval from xl to xu into equivalent parts, no record is taken of the values of f (xl) and f (xu).

## How to represent floats in computer system?

Representation of floats in computer system How to represent floats in computer system? Real numbers are stored as floats in computer system. The more bit size will provide us larger range of numbers to be represented. We have two approaches Read More …

## How to find the square root of a number using Newton Raphson method?

What is the Newton Raphson Method(NR)? How to find the square root of a number using Newton Raphson method? This method falls in the category of open bracketing methods. It is also called the method of tangents as it determines Read More …

## How fixed point method converges or diverges show with an example?

Introduction to fixed-point-method How to find the convergence of fixed point method. One of the numerical methods for solving transcendental equations or algebraic equations is fixed-point (FP) method. This falls in the category of open bracketing methods. Open bracketing methods Read More …

## what are the open bracketing methods in numerical analysis?

Introduction to open bracket methods what are the open bracketing methods in numerical analysis? Bracketing methods are those methods which continue to converge as your algorithm proceeds. We always need an initial guess while applying the bracketing methods such as Read More …

## Design of an interval arithmetic multiplier for digital signal processing

Interval arithmetic multiplier for digital signal processing In this article I have discussed the design of an interval arithmetic multiplier for digital signal processing. Interval methods offer quite new research aspects regarding Digital Signal Processing. In scenarios like finite numeric Read More …

## Prove that Maclaurin series is the special case of Taylor’s series expansion.

Prove that Maclaurin series is the special case of Taylor’s series expansion. Prove that the Maclaurin series is the special case of Taylor’s series expansion. Taylor’s series is used for finding the value of a function at point ‘x2’ given Read More …

## What is the bisection method? Example of Bisection method

What is the bisection method? What is the bisection method? Example of Bisection method. The bisection method is used for finding the roots of transcendental equations or algebraic equations. This is also called a bracketing method as its brackets the Read More …

## How many types of interpolation are there?

What is the interpolation How many types of interpolation are there? Interpolation is the technique of determining the value or the expression of function from the given set of data points. If we are given some data and we want Read More …