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Mathematics, 16.10.2019 22:10 zianebonankenotdbev

Consider the function g(x) = x2 + 3 . 16 (a) this function has two fixed points. what are they? (b) consider the fixed point iteration xk+1 = g(xk) for this g. for which of the points you have found in (a) can you be sure that the iterations will converge to that fixed point? briefly justify your answer. you may assume that the initial guess is sufficiently close to the fixed point. (c) (b), reduce the convergence error by a factor of 10?

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