Order of Convergence of Regula Falsi Method is
By Balaji
Updated on: March 21st, 2023
The order of convergence of the Regula Falsi method is 1.618. An approximate solution to the equation f(x) = 0 on a finite interval [a, b] can be found using the Regula Falsi, often known as the method of false position. Here, f is a realvalued continuous function on [a, b] that meets the condition f(a) f(b) 0. Previous research demonstrated the convergence of this approach under the conditions that the first and second derivatives of the function f do not change the sign on the interval [a, b].
Table of content

1. Order of Convergence of Regula Falsi Method

2. Order of Convergence of Regula Falsi Method is
Order of Convergence of Regula Falsi Method
The Regula Falsi, also known as the method of false position or the false position method, is a very old and stillused approach to solving equations with a single unknown in mathematics. The regula falsi method, often known as the false position method, has an order of convergence greater than 1.
The false position method, also known as the regula falsi method, is a traditional approach to solving onevariable equations in mathematics. Using “false” or “test” values for the variable and then changing the test value in response to the outcome is how the method is best expressed in plain English.
When we compare the power of the two sides, we have p=1+1/p, which results in p = 1 root(5). By ignoring the negative sign, we arrive at P = 1.618 as the Secant method’s convergence rate.
Summary:
Order of Convergence of Regula Falsi Method is
The order of convergence of Regula Falsi, or the method of false position, is 1.618. This is the oldest method for computing the real roots of an algebraic equation. A nonlinear equation of form f(x) = 0 can have roots using an iterative process called the false position method. With the use of this technique, we can more accurately estimate the equation’s roots. It is a traditional method or approach to solving onevariable equations in mathematics.
Related Questions:
 What is the Article 265?
 What was the Conclusion of the Industrial Revolution?
 Who was the First President of Indian National Congress?
 Who Started New India Weekly?
 Which is the Major Cause of Land Degradation in Punjab?
 Which Railway Station has the World’s Longest Railway Platform?
 How Many Types of Budgets are there in India?