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2. 0.X₂ Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of Ax is less than or equal to Tol = 1 x 104. Show the detailed calculation of the first 3 iterations. -4c₁-₁₂ + 12c₂ = 2350 15c₁3c₂-c3 = 3800 -3c, +18c, -6c₁ = 1200

2. 0.X₂ Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of Ax is less than or equal to Tol = 1 x 104. Show the detailed calculation of the first 3 iterations. -4c₁-₁₂ + 12c₂ = 2350 15c₁3c₂-c3 = 3800 -3c, +18c, -6c₁ = 1200

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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1. ( ) Use the Jacobi method and Gauss-Seidel method to solve the following system until the 7.¹-norm of Ax is less than or equal to Tol = 1 x 10-4. Show the detailed calculation of the first 3 iterations. 2. 10x₁ + 2x₂x₂ = 27 x₁ + x₂ + 5x3 = -21.5 -3x₁6x₂ + 2x3 = -61.5 Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of Ax is less than or equal to Tol = 1 x 10-4. Show the detailed calculation of the first 3 iterations. -4c₁-₁₂ + 12c₂ = 2350 15c₁3c₂-c3 = 3800 -3c₁ + 18c-6c₁ = 1200 3. ( ) Use the Relaxation method to solve the following system until the 1.0-norm of Ax is less than or equal to Tol = 0.001. Use = (a) 0.95 and (b) 1.20. Show the detailed calculation of the first 3 iterations. 18-0 1 2 6 -2 1 -2 7 2
Transcribed Image Text:1. ( ) Use the Jacobi method and Gauss-Seidel method to solve the following system until the 7.¹-norm of Ax is less than or equal to Tol = 1 x 10-4. Show the detailed calculation of the first 3 iterations. 2. 10x₁ + 2x₂x₂ = 27 x₁ + x₂ + 5x3 = -21.5 -3x₁6x₂ + 2x3 = -61.5 Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of Ax is less than or equal to Tol = 1 x 10-4. Show the detailed calculation of the first 3 iterations. -4c₁-₁₂ + 12c₂ = 2350 15c₁3c₂-c3 = 3800 -3c₁ + 18c-6c₁ = 1200 3. ( ) Use the Relaxation method to solve the following system until the 1.0-norm of Ax is less than or equal to Tol = 0.001. Use = (a) 0.95 and (b) 1.20. Show the detailed calculation of the first 3 iterations. 18-0 1 2 6 -2 1 -2 7 2
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