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Solve the following systems of equations, starting with the initial estimates of x₁ () = 0 for i = 1, 2,..., n, using (i) Jacobi method and (ii) Gauss-Seidel method. Iterate until four-figure accuracy after the decimal point is achieved. 4 1 05 1 1 00-1 1 0 1 2 0 8 0 0 0 2 0 1 X3 4 1 X4 85 - 5 58 X₁ 82 7.95 8.35 13.15 5.1 6.45

Solve the following systems of equations, starting with the initial estimates of x₁ () = 0 for i = 1, 2,..., n, using (i) Jacobi method and (ii) Gauss-Seidel method. Iterate until four-figure accuracy after the decimal point is achieved. 4 1 05 1 1 00-1 1 0 1 2 0 8 0 0 0 2 0 1 X3 4 1 X4 85 - 5 58 X₁ 82 7.95 8.35 13.15 5.1 6.45

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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Solve the following systems of equations, starting with the initial estimates of x(0) = 0 for i = 1, 2, ..., n, using (i) Jacobi method and (ii) Gauss-Seidel method. Iterate until four-figure accuracy after the decimal point is achieved. 1 2 05 0 1 1 8 00 1 0 4 - 1 1 0 0 0 2 X2 0 1 X3 4 1 X 4 - 58 X 5 = 7.95 8.35 13.15 5.1 6.45
Transcribed Image Text:Solve the following systems of equations, starting with the initial estimates of x(0) = 0 for i = 1, 2, ..., n, using (i) Jacobi method and (ii) Gauss-Seidel method. Iterate until four-figure accuracy after the decimal point is achieved. 1 2 05 0 1 1 8 00 1 0 4 - 1 1 0 0 0 2 X2 0 1 X3 4 1 X 4 - 58 X 5 = 7.95 8.35 13.15 5.1 6.45
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