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4. Perform one iteration for Jacobi, forward Gauss-Seidel, SOR and Richardson or the linear system Ax = b with 2 0 5 0 5 A = 2 b = 7 %3D %3D -3 4 6 ake w natrices. For SOR, the following component-wise form should be used, 0.5 in SOR and y = 0.1 in Richardson. Do not compute any inverse i-1 Σ n (1 – w)x;ld + Aji j=1 + > aijald + b;) i = 1, 2, ... , n. пеw aija'; new %3D j=i+1

4. Perform one iteration for Jacobi, forward Gauss-Seidel, SOR and Richardson or the linear system Ax = b with 2 0 5 0 5 A = 2 b = 7 %3D %3D -3 4 6 ake w natrices. For SOR, the following component-wise form should be used, 0.5 in SOR and y = 0.1 in Richardson. Do not compute any inverse i-1 Σ n (1 – w)x;ld + Aji j=1 + > aijald + b;) i = 1, 2, ... , n. пеw aija'; new %3D j=i+1

Advanced Engineering Mathematics
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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4. Perform one iteration for Jacobi, forward Gauss-Seidel, SOR and Richardson for the linear system Ax = b with 2 0 5 0 b 3 4 6 Take w 0.5 in SOR and y = 0.1 in Richardson. Do not compute any inverse matrices. For SOR, the following component-wise form should be used, i-1 (1 – w)x?!d + Aii old + b;) i = 1, 2, пеw xnew aijX; , п. j=i+1
Transcribed Image Text:4. Perform one iteration for Jacobi, forward Gauss-Seidel, SOR and Richardson for the linear system Ax = b with 2 0 5 0 b 3 4 6 Take w 0.5 in SOR and y = 0.1 in Richardson. Do not compute any inverse matrices. For SOR, the following component-wise form should be used, i-1 (1 – w)x?!d + Aii old + b;) i = 1, 2, пеw xnew aijX; , п. j=i+1
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