Consider the matrix equation -12 4 0 4 000 16 -9 00 16 -9 4 0 -9 16 4 04 00 00 1. Using LU Decomposition, calculate {x} 25 0 -100 0 0 10-{ = X4 X5 12-
Consider the matrix equation -12 4 0 4 000 16 -9 00 16 -9 4 0 -9 16 4 04 00 00 1. Using LU Decomposition, calculate {x} 25 0 -100 0 0 10-{ = X4 X5 12-
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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Transcribed Image Text:Consider the matrix equation
-12 4 000 X1
4 16 -9 00 x2
#DO
0 4 16 -9 0 X3 =
00 -9 16 4 X4
00 04 12¹ X5
25
0
-100
0
0
1. Using LU Decomposition, calculate {x}
2. Estimate {x} using (a) Jacobi Method and (b) Gauss-Seidel Method. Perform 10 iterations and
calculate the maximum error after each iteration.
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