Which of the following is true for Newton's method? it is a fixed point method with linear convergence it is not a fixed point method, but it has super-linear convergenc- it is not a fixed point but has linear convergence O it is a fixed point method with super-linear convergence For an initial guess x0, when will Newton's method fail? When f(x0) is 0 O When f'(x0) is 0 O when f'(x0) is infinite O None of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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Just gimme the answer of both. No need that much explanation. 

Which of the following is true for Newton's method?
it is a fixed point method with linear convergence
it is not a fixed point method, but it has super-linear convergence
it is not a fixed point but has linear convergence
it is a fixed point method with super-linear convergence
For an initial guess x0, when will Newton's method fail?
When f(x0) is 0
When f'(x0) is 0
when f'(x0) is infinite
O None of the above
Transcribed Image Text:Which of the following is true for Newton's method? it is a fixed point method with linear convergence it is not a fixed point method, but it has super-linear convergence it is not a fixed point but has linear convergence it is a fixed point method with super-linear convergence For an initial guess x0, when will Newton's method fail? When f(x0) is 0 When f'(x0) is 0 when f'(x0) is infinite O None of the above
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