d.) Jacobi Iteration Method- 4 iterations

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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Question

Maintain and round off to 5 decimal places. Please answer "d"

3x2
x2
10x1
2x1
X2
-x₁ + 11x2
-
X3 + + 84
+
2x3
+ 10x3
-
-
X3 +
Solve the unknown variables applying:
a.) Naïve Gauss Elimination
b.) Gauss-Jordan Method
=
c.) Gauss-Seidel Iteration Method-4 iterations
d.) Jacobi Iteration Method- 4 iterations
e.) LU Matrix Decomposition
=
15
6.
X4
3x4 = 25
=
-11
Transcribed Image Text:3x2 x2 10x1 2x1 X2 -x₁ + 11x2 - X3 + + 84 + 2x3 + 10x3 - - X3 + Solve the unknown variables applying: a.) Naïve Gauss Elimination b.) Gauss-Jordan Method = c.) Gauss-Seidel Iteration Method-4 iterations d.) Jacobi Iteration Method- 4 iterations e.) LU Matrix Decomposition = 15 6. X4 3x4 = 25 = -11
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