3. Fixed-Point Iteration). Consider the problem of finding the root of the polynomial 1(x) = -0.942 - 1.13 in [1,2] (1)

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3 Fixed Point Iteration Consider The Problem Of Finding The Root Of The Polynomial 1 X 0 942 1 13 In 1 2 1 1 (32.74 KiB) Viewed 18 times

3. Fixed-Point Iteration). Consider the problem of finding the root of the polynomial 1(x) = -0.942 - 1.13 in [1,2] (1) Show that -0.94-1.13 -0 =0.94 41.13 on [1,2]. Execute the commands plot y 10.94 *. 1.13) (1/4) and ye1 and y2 for 1.2 plot yet (0.04 + + 1.13) (1/4) ) and y-1 and yet for x 12 at the Wolfram Alpha (Way website to demonstrate, we did during the lectant that the iteration function 9(*) - 0.92 +1.13 satisfies the conditions of the main statement on convenience of the Fixed Point Teration conthest from the lecture totes on the Internat21 Cow (with your own hand both graphs in your work. Based on the graphs, make a conclusion on chce of the PPI for the problem at hand Use the Fixed. Point Iteration method to find an approximation PN of the land ont pol (3) 11.2. the mot of the polynomial /() in 11.2), satisfying RE (PNPN-1) < 10-y taking po = 1 as the initial approximation. All calculations are to be carried out in the PPA Present the results of your calculations in a standard output table for the method of the form PP REPP-1) (Your swers to the problem should consist of twn graphs, a conclusion on convergence of the FPI. a andard output table and a botilasi regarding an approximation PN)