point alg ti+1 approx the following must hold for the algorithm to converge quadratically? Select all that apply. The function f (x) must cross the horizontal axis. g' (x*) = 0 The initial iterate is close to *. The fixed point algorithm is only linearly convergent.

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Consider the fixed point algorithm +1 g(x₂) for generating an approximate solution to f (x) = 0. Which of
the following must hold for the algorithm to converge quadratically? Select all that apply.
The function f (x) must cross the horizontal axis.
g' (x* ) = 0
The initial iterate is close to x*.
The fixed point algorithm is only linearly convergent.
Transcribed Image Text:Consider the fixed point algorithm +1 g(x₂) for generating an approximate solution to f (x) = 0. Which of the following must hold for the algorithm to converge quadratically? Select all that apply. The function f (x) must cross the horizontal axis. g' (x* ) = 0 The initial iterate is close to x*. The fixed point algorithm is only linearly convergent.
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