What are its roots, Each of the following iterations may

What are its roots

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Reference no: EM13862121

5. Each of the following iterations may converge. If the iteration does converge it will be to a root of a polynomial p(x). In all three cases the convergence will be to some root of the same polynomial. A+1 =4 - 22k + 2 xi - 32k + 2 4+ - 4 4bk - Xk-F 1 = + 4xk - a) What is p(x)? What are its roots? b) One of the iterations will converge to either of the two roots of p(2) if the initial guess is sufficiently close. Each of the others will converge to one root, but can't possibly converge to the other unless the initial guess is exactly equal to the root. Which is which? Give a justification for your answer.

Reference no: EM13862121

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