4 3 Find the optimal w if A =3 4 0 -1 -1 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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We have to find the optimal relaxation factor how we have to do it (hint: you can use Matlab for help )
Example
4 3
이
Find the optimal o if
A = 3 4 -1
0 -1 4
Oopt
T, =D"(L+U)=|
1+
42 -3
-3 42
1 0
Wopt =1.2404
1
4시
2=0, 0.7906 & -0.7906
314
Transcribed Image Text:Example 4 3 이 Find the optimal o if A = 3 4 -1 0 -1 4 Oopt T, =D"(L+U)=| 1+ 42 -3 -3 42 1 0 Wopt =1.2404 1 4시 2=0, 0.7906 & -0.7906 314
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