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Consider the system -3x + y + 6z = 20 8x + 2y + 3z = 51 2x + 5y + z = 23 Use (0,0,0) as initial solution. QUESTION No. 1 Perform the first 4 iterations of Gauss- Seidel Method and write the values of x, y, z. Perform the first 4 iterations of Gauss- Jacobi Method and write the values of x, y, z. On the basis of Absolute True Error, which set of values give a more accurate answer?

Consider the system -3x + y + 6z = 20 8x + 2y + 3z = 51 2x + 5y + z = 23 Use (0,0,0) as initial solution. QUESTION No. 1 Perform the first 4 iterations of Gauss- Seidel Method and write the values of x, y, z. Perform the first 4 iterations of Gauss- Jacobi Method and write the values of x, y, z. On the basis of Absolute True Error, which set of values give a more accurate answer?

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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Consider the system -3x + y + 6z = 20 8x + 2y + 3z = 51 2x + 5y + z = 23 Use (0,0,0) as initial solution. QUESTION No. 1 Perform the first 4 iterations of Gauss- Seidel Method and write the values of x, y, z. Perform the first 4 iterations of Gauss- Jacobi Method and write the values of x, y, z. On the basis of Absolute True Error, which set of values give a more accurate answer?
Transcribed Image Text:Consider the system -3x + y + 6z = 20 8x + 2y + 3z = 51 2x + 5y + z = 23 Use (0,0,0) as initial solution. QUESTION No. 1 Perform the first 4 iterations of Gauss- Seidel Method and write the values of x, y, z. Perform the first 4 iterations of Gauss- Jacobi Method and write the values of x, y, z. On the basis of Absolute True Error, which set of values give a more accurate answer?
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