5.1.3.5 - Fixed Point Iteration Method
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Practice Questions
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Define Fixed Point Iteration Method.
💡 Hint: Consider the purpose of approximating solutions.
What is the main requirement for the function g(x)?
💡 Hint: Think about convergence conditions.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following best describes the Fixed Point Iteration Method?
💡 Hint: Think about its iterative nature.
True or false: The Fixed Point Iteration Method can be applied to any equation.
💡 Hint: Analyze the requirements for a function to converge.
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Challenge Problems
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Given the equation x = x² - 2, apply Fixed Point Iteration with a starting guess of 1. Describe the steps and check for convergence.
💡 Hint: Evaluate each value for convergence conditions.
Construct a function g(x) from x - cos(x) = 0 and demonstrate using Fixed Point Iteration with initial guess 0.5.
💡 Hint: Check the derivatives to confirm convergence.
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