HW2 - of newton.m. (2) Show that the bisection method...

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MAT 421 Applied Computational Methods Prof. Gardner ( carl.gardner@asu.edu ), Goldwater 654 Reading :Sec t ion s1 .1 ,1 .7 ,4 .1–4 .4 ,3 .1–3 .3o fMo le r s Numerical Computing with MATLAB . Homework 2 Due: Fri Jan 20 (1) Find a positive root of
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Unformatted text preview: of newton.m. (2) Show that the bisection method converges linearly. (3) Complete the proof of the quadratic convergence of Newtons method (last step in the Notes). Hint: Approximate the denominator as f ( x )+ e n f ( x ) = f ( x )(1 + ) & use (1 + )-1 1- ....
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