MATH 655 Final: MATH 655 KSU Final S06
15 Feb 2019
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Total 105 pb1 pb2 pb3 pb4 pb5 pb6 pb7 pb8 pb9 pb 10. You must return this cover sheet to earn the grading credits: (10 points. ) Find all 7 roots to the following polynomial with tol= 10 10. P (x) = 2x7 10x6 + 3x5 + 36x4 28x3 + 2x2 + 15x 36: (10 points. ) Solve the linear system ax = b (with the precision of 16 digits rounding) by a suitable method you learned. Report the solution and the method you employ. (do not attach middle steps. ) Does gauss-seidel iterative method converge for any choice of the initial guess of x(0) r6 when solving following equation ax = b ? where. Give your aguments carefully in details and state the theorems you want to cite : (ii). Find a parameter (0, 2) such that it converges in less than. 70 steps when using sor method to solve the above equation ax = b with this and the tol=10 5.
