4. Consider the polynomial 4r – 3r2 +2r – 1. This problem asks you to use fixed point iteration to approximate the zeros of this polynomial. (a) Select two different representations g(x) = 1 (b) For each representation from part (a), use fixed point iteration with zo = 0 to approximate the zero to within three decimal places and report the number of iterations you computed (c) For each choice of g(r) compute the convergence factor and write a brief comment explaining how this impacted your results in (b)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Consider the polynomial 4.r – 312 +2r – 1. This problem asks you to use fixed point iteration to
approximate the zeros of this polynomial.
(a) Select two different representations g(r) = r
(b) For each representation from part (a), use fixed point iteration with ro = 0 to approximate
the zero to within three decimal places and report the number of iterations you computed
(c) For each choice of g(r) compute the convergence factor and write a brief comment explaining
how this impacted your results in (b)
Transcribed Image Text:4. Consider the polynomial 4.r – 312 +2r – 1. This problem asks you to use fixed point iteration to approximate the zeros of this polynomial. (a) Select two different representations g(r) = r (b) For each representation from part (a), use fixed point iteration with ro = 0 to approximate the zero to within three decimal places and report the number of iterations you computed (c) For each choice of g(r) compute the convergence factor and write a brief comment explaining how this impacted your results in (b)
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