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x1 + 5x₂ + 3x3 = 30 3x1 + 7x2 + 13x3 = = 80 12x1 + 3x25x3 2 (0) (0) with ¹ [x(0), xQ), xº)] = [1, 2, 3] until the approximate error is less than 1%. Round-off intermediate values to 7 decimal places and the answer to 5 decimal places. How many iterations were done to find the answer?

x1 + 5x₂ + 3x3 = 30 3x1 + 7x2 + 13x3 = = 80 12x1 + 3x25x3 2 (0) (0) with ¹ [x(0), xQ), xº)] = [1, 2, 3] until the approximate error is less than 1%. Round-off intermediate values to 7 decimal places and the answer to 5 decimal places. How many iterations were done to find the 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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Topic: Jacobi and Gauss-Seidel Methods

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Using the given in Example 3, solve using Gauss-Seidel Method.
Transcribed Image Text:Using the given in Example 3, solve using Gauss-Seidel Method.
x1 + 5x₂ + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 12x₁ + 3x₂5x3 = 2 (0) with [x(º), x),x?)] = [1, 2, 3] until the approximate error is less than 1%. Round-off intermediate values to 7 decimal places and the answer to 5 decimal places. How many iterations were done to find the answer?
Transcribed Image Text:x1 + 5x₂ + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 12x₁ + 3x₂5x3 = 2 (0) with [x(º), x),x?)] = [1, 2, 3] until the approximate error is less than 1%. Round-off intermediate values to 7 decimal places and the answer to 5 decimal places. How many iterations were done to find the answer?
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