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Unformatted text preview: guess ~x = [1 , 1 , 1 , 1 , 1] t . 3 3. (25 pts) Consider A~x = ~ b where A = a b c d . (a) Find conditions on bc/ad such that Jacobi method will converge for any initial guess. (b) Find conditions on bc/ad such that GaussSeidel method will converge for any initial guess. 4 4. (25 pts) Let p ( x ) be the polynomial of least degree interpolating the data points x1 12 y 6 1 2 17 (a) Write out the Lagrange form for p ( x ). (b) Write out the Newton form for p ( x ). 5...
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 Spring '08
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 Math

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