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Determine the estimate for the value of z in the system a + 20y + z = -18 25x + y – 5z = 19 3x + 4y + 8z = 7 using 3 iterations of Jacobi Method. Use x = 0, y = 0, z = 0 as the initial guess. 0.87591 1.00175 1.04719 0.99755

Determine the estimate for the value of z in the system a + 20y + z = -18 25x + y – 5z = 19 3x + 4y + 8z = 7 using 3 iterations of Jacobi Method. Use x = 0, y = 0, z = 0 as the initial guess. 0.87591 1.00175 1.04719 0.99755

Advanced Engineering Mathematics
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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Determine the estimate for the value of z in the system a + 20y + z = -18 25x +y - 5z = 19 3x + 4y + 8z = 7 using 3 iterations of Jacobi Method. Use x = 0, y = 0, z = 0 as the initial guess. 0.87591 1.00175 1.04719 0.99755
Transcribed Image Text:Determine the estimate for the value of z in the system a + 20y + z = -18 25x +y - 5z = 19 3x + 4y + 8z = 7 using 3 iterations of Jacobi Method. Use x = 0, y = 0, z = 0 as the initial guess. 0.87591 1.00175 1.04719 0.99755
Consider the linear system 10x1 + 2x2 – x3 = 27 x1 + x2 + 5x3 -21.5 -3x1 – 6x2 + 2x3 = -61.5 After three iterations of Jacobi Method, what is the smallest percent relative error computed among the unknowns? Use an initial value of xi = 0, x2 = 0, x3 = 0. %3D 4.80 % 0.75% 37/59% 2.51 %
Transcribed Image Text:Consider the linear system 10x1 + 2x2 – x3 = 27 x1 + x2 + 5x3 -21.5 -3x1 – 6x2 + 2x3 = -61.5 After three iterations of Jacobi Method, what is the smallest percent relative error computed among the unknowns? Use an initial value of xi = 0, x2 = 0, x3 = 0. %3D 4.80 % 0.75% 37/59% 2.51 %
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