Solved: The linear system x1 + 1 2 x2 = 5 21 , 1 2 x1 + 1 3 x2 = 11 84 has solution (x1
Chapter 7, Problem 1(choose chapter or problem)
The linear system x1 + 1 2 x2 = 5 21 , 1 2 x1 + 1 3 x2 = 11 84 has solution (x1, x2)t = (1/6, 1/7)t . a. Solve the linear system using Gaussian elimination with two-digit rounding arithmetic. b. Solve the linear system using the conjugate gradient method (C = C1 = I) with two-digit rounding arithmetic. c. Which method gives the better answer? d. Choose C1 = D1/2. Does this choice improve the conjugate gradient method?
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