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Apply all direct methods to the following system. Compare results: [2 1 21 1 1 4x2 = |11 l2 4 1] Apply all iterative methods to the following system with Convergence criterion x*+1) – x* (Abs. error) Use L2 norm with TOL = 1 x 102. Tabulate at least the first and last 3 iterations. Try at least one value for w in relaxation methods. -5x1 - x2 + 2x3 2x, + x2 + 7x3 = 32 2х, + 6х, - 3хз = 1 %3D

Apply all direct methods to the following system. Compare results: [2 1 21 1 1 4x2 = |11 l2 4 1] Apply all iterative methods to the following system with Convergence criterion x*+1) – x* (Abs. error) Use L2 norm with TOL = 1 x 102. Tabulate at least the first and last 3 iterations. Try at least one value for w in relaxation methods. -5x1 - x2 + 2x3 2x, + x2 + 7x3 = 32 2х, + 6х, - 3хз = 1 %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Apply all direct methods to the following system. Compare results: [2 1 2] 1 1 4x2 = |11 l2 4 1] 18-9 l121 Apply all iterative methods to the following system with Convergence criterion x*+1) – x (Abs. error) Use L2 norm with TOL = 1 x 102. Tabulate at least the first and last 3 iterations. Try at least one value for w in relaxation methods. -5x1 - x2 + 2x3 = 1 2x, + x2 + 7x3 2x1 + 6x2 – 3x3 = 32 %3D = 2 |
Transcribed Image Text:Apply all direct methods to the following system. Compare results: [2 1 2] 1 1 4x2 = |11 l2 4 1] 18-9 l121 Apply all iterative methods to the following system with Convergence criterion x*+1) – x (Abs. error) Use L2 norm with TOL = 1 x 102. Tabulate at least the first and last 3 iterations. Try at least one value for w in relaxation methods. -5x1 - x2 + 2x3 = 1 2x, + x2 + 7x3 2x1 + 6x2 – 3x3 = 32 %3D = 2 |
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