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method and Gauss-Seidel method to sol Tol = 1 × 10-4. Show the detailed calcul 1 -X1 + 1/2 X 2 + — x3 = 0 1 7 2 x₁ + x₂ + x3 = -5 1 6+. ·X₂₂==

method and Gauss-Seidel method to sol Tol = 1 × 10-4. Show the detailed calcul 1 -X1 + 1/2 X 2 + — x3 = 0 1 7 2 x₁ + x₂ + x3 = -5 1 6+. ·X₂₂==

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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Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax is less than or equal to Tol = 1 × 10-4. Show the detailed calculation of the first 3 iterations of each method. 1 -x₁ +2²x₂ +6² = 0 7 2x1+x₂+2x3 = -5 1 1 •X₁ 60 •X₂ + •X3 = 60 20 20
Transcribed Image Text:Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax is less than or equal to Tol = 1 × 10-4. Show the detailed calculation of the first 3 iterations of each method. 1 -x₁ +2²x₂ +6² = 0 7 2x1+x₂+2x3 = -5 1 1 •X₁ 60 •X₂ + •X3 = 60 20 20
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