Newton Raphson Method converges much faster and Bisection Method is slow as compare to Newton Raphson Method with the help of an example.
Answers
Answer:
Hi buddy
Step-by-step explanation:
What is convergence of Newton Raphson method?
Newton Raphson Method is said to have quadratic convergence. Note: Alternatively, one can also prove the quadratic convergence of Newton-Raphson method based on the fixed - point theory. ... Any solution to (ii) is called a fixed point and it is a solution of (i). The function g(x) is called as "Iteration function".
What is convergence rate of bisection method and Newton Raphson method?
You should expect results around 1 for the bisection method, increasing convergence up to 1.6 for the secant method and increasing convergence up to 2 for Newton's method. where ei=|xi−x∗| is the error in the approximation at the ith iteration, x∗ is the true root and xi is the approximation.
What is convergence of Newton Raphson method?
Newton Raphson Method is said to have quadratic convergence. Note: Alternatively, one can also prove the quadratic convergence of Newton-Raphson method based on the fixed - point theory. ... Any solution to (ii) is called a fixed point and it is a solution of (i). The function g(x) is called as "Iteration function".
GABRU
Answer
Newton Raphson Method converges much faster and Bisection Method is slow as compare to Newton Raphson Method
Step by Step Explanation
Newton Raphson Method means method which has quadratic convergence. Alternatively, we can also prove the quadratic convergence of Newton-Raphson method based on the fixed - point theory.
Any solution to (ii) is called a fixed point and it is a solution of (i). The function g(x) is called as "Iteration function".
You should expect results around 1 for the bisection method, increasing convergence up to 1.6 for the secant method and increasing convergence up to 2 for Newton's method. where ei=|xi−x∗| is the error in the approximation at the ith iteration, x∗ is the true root and xi is the approximation.
Newton Raphson Method is said to have quadratic convergence. Alternatively, we can also prove the quadratic convergence of Newton-Raphson method based on the fixed - point theory.
Any solution to (ii) is called a fixed point and it is a solution of (i). The function g(x) is called as "Iteration function".
Newton Raphson Method converges much faster and Bisection Method is slow as compare to Newton Raphson Method.
#SPJ2