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Quizz3 - Name Student ID Quizz#3 Monday August 24 Multiple...

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Name: Student ID#: Quizz #3 Monday, August 24 Multiple Choice Questions – 1 point each Circle the correct answer(s) for each of the following 8 questions ( there could be more than one correct answer for each question – to obtain the full credit, you need to circle all correct answers ). Remember to answer the questions at the back of the page. 1. Which of the following g ( x ) will lead to a fixed-point iterative scheme x ( n +1) = g ( x ( n ) ) that will converge to the positive root of f ( x ) = x 2 - 3 /x when started from an initial guess close enough from the root ¯ x ? a) g ( x ) = x + x 3 - 3 b) g ( x ) = 3 x 2 c) g ( x ) = 3 x d) g ( x ) = x x 3 - 3 2. Which of the following methods can have a quadratic rate of convergence? 3. Which of the following g ( x ) will lead to a quadratic convergence of the fixed point iterative scheme x ( n +1) = g ( x ( n ) ) when started close enough to x = 2?
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