Unformatted text preview: 3 / 1 2 4 1 1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − = x x and explain what happens. Question 3. Consider the following system of equations: ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ = + + + − = + + + = + + + − = + + + 1 2 1 2 1 2 1 2 w z y x w z y x w z y x w z y x a) Write the system in matrix form and solve using Gaussian elimination. b) Solve by GaussSeidel iteration, without rearranging the equations. Use initial guesses 1 = = = = w z y x . c) Investigate whether relaxation would help convergence for part (b). d) Repeat part (b), but rearrange the equations first to get as strong diagonal elements as possible. e) Investigate whether relaxation can speed up convergence for part (d)....
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 Spring '10
 SerhiyYarusevych
 Equations, Elementary algebra, Iterative method

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