Consider the question: Apply five iterations of the Gauss-Seidel method, with initial approximation (0) 0.25 = x to approximate the solution of the system: 8x1 – x2 x1 – 6x2 -4 | ||
Consider the question: Apply five iterations of the Gauss-Seidel method, with initial approximation (0) 0.25 = x to approximate the solution of the system: 8x1 – x2 x1 – 6x2 -4 | ||
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
- A.
xm=[0.25;0.25]
b=[6;-4]
L=[0 0;1 0]
D=[8 0;0 -6]
U=[0 -1;0 0]
bdash=inv(L+D)*b;
B=inv(L+D)*U;
for n=1:5
xm=bdash-B*xm
endfor
- B.
xm=[0.2;0.2]
b=[6;-4]
L=[0 0;1 0]
D=[8 0;0 -6]
U=[0 -1;0 0]
bdash=inv(L+D)*b;
B=inv(L+D)*U;
for n=1:5
xm=bdash-B*xm
endfor
- C.
None of these
- D.
xm=[0.25;0.25]
b=[6;-4]
L=[0 0;1 0]
D=[7 0;0 -5]
U=[0 -1;0 0]
bdash=inv(L+D)*b;
B=inv(L+D)*U;
for n=1:5
xm=bdash-B*xm
endfor
- E.
xm=[0.25;0.25]
b=[6;-4]
L=[0 0;1 0]
D=[8 0;0 -6]
U=[0 -1;0 0]
bdash=inv(L+D)*b;
B=inv(L+D)*U;
for n=1:3
xm=bdash-B*xm
endfor
Transcribed Image Text:Consider the question:
Apply five iterations of the Gauss-Seidel method, with initial approximation
= 0.25 = x
to approximate the solution of the system:
8.x1 – x2
6.
X1 – 6.x2
-4
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