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Fixed Point Iteration Method to solve Systems of Nonlinear Equations with discussion of Banach Fixed Point Theorem, finding the Jacobian, convergence, and order. Example code on GitHub: http://github.com/osveliz/numerical-veliz Chapters: 00:00 Intro 00:25 Systems of Equations 00:33 Solving Nonlinear Systems 01:03 Fixed Point Iteration 01:26 ...
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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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