p1 - CS 510 Computer Problem: Computation of the roots of a...

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CS 510 Computer Problem: Computation of the roots of a polynomial due 10/5/10 Your objective is to compute the roots (real and complex) of the polynomial p ( x )=18 x 6 - 30 x 5 +5 x 4 - 23 x 3 +26 x 2 - 9 x +1 to within absolute error 10 - 10 , if possible. Use of Matlab is strongly encouraged. For each successful Newton iteration, print out the corresponding Newton iterates x k and f ( x k )va lues . Provide an interpretation of your computational results, including observed convergence rates and inferences about the multiplicities of the roots. Do you feel you attained the desired accuracy in your computed roots? Note: You should turn in a copy of your program, though the important thing here is the computational results it gives and your analysis of those results. Notes: Since p ( x ) has even degree it must have an even number of real roots, perhaps not all
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p1 - CS 510 Computer Problem: Computation of the roots of a...

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