Q4: The linear system of equations CHE 2 1 0 x, 4 1 X2 2 has an exact solution * = (1,2,-1). Find the optimal choice of @= 1+ for the SOR method with two significant digits rounding. Compute the first two approximations using the SOR method.

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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Q4: The linear system of equations
2
1
4
1
1
X2
3
2
X3
2
has an exact solution * = (1,2,–1). Find the optimal choice of @=
1+
for the SOR method with two significant digits rounding. Compute the first two
approximations using the SOR method.
Transcribed Image Text:Q4: The linear system of equations 2 1 4 1 1 X2 3 2 X3 2 has an exact solution * = (1,2,–1). Find the optimal choice of @= 1+ for the SOR method with two significant digits rounding. Compute the first two approximations using the SOR method.
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