General Iterative Method | Method of Iteration | Numerical Methods
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General Iterative Method | Method of Iteration | Numerical Methods
One more method for finding the root of any equation. The complete derivation, procedure and its characteristics with a numerical problem has been explained. This method is also known as Fixed point iteration method. Watch the complete video. For more videos : https://www.youtube.com/playlist?list=PL1CjgGR-5oGAg9iatLdUlst3PTU2Kh7Us
4.1K viewsAug 18, 2020
Fixed Point Iteration Examples
SOLVED: Consider the following fixed-point iteration algorithm: Xi 1 = g(xi) = Xi 1. From a graphical solution of x = g(x), you know that X = 2.24 is approximately the fixed point of x = g(x).If you start the fixed-point algorithm with Xo = 2.4, how many iterations do you need to perform at least in order to reach an error less than 10^-7?Use your knowledge about the order of convergence of the fixed-point method to conduct your analysis.Answer:
SOLVED: Consider the following fixed-point iteration algorithm: Xi 1 = g(xi) = Xi 1. From a graphical solution of x = g(x), you know that X = 2.24 is approximately the fixed point of x = g(x).If you start the fixed-point algorithm with Xo = 2.4, how many iterations do you need to perform at least in order to reach an error less than 10^-7?Use your knowledge about the order of convergence of the fixed-point method to conduct your analysis.Answer:
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