In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the initial approximation (x,, x2, . .., x„) = (0, 0, . . . , 0). Continue performing iterations until two successive approximations are identical when rounded to three significant digits. X2 = 2 x, + 4x, = 5 1. Зх, 2. - 4x, + 2x, = -6 Зх, — 5х, — 1 3. 2х, X2 = 2 4. 4x, + x, + x3 = 7 %3D x - 3x, + x3 = -2 X1 - 7x, + 2xz = – 2 -x, + x2 - 3x3 = -6 3x, + 4x3 = 11 %3D 5. Apply the Gauss-Seidel method to Exercise 1.
In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the initial approximation (x,, x2, . .., x„) = (0, 0, . . . , 0). Continue performing iterations until two successive approximations are identical when rounded to three significant digits. X2 = 2 x, + 4x, = 5 1. Зх, 2. - 4x, + 2x, = -6 Зх, — 5х, — 1 3. 2х, X2 = 2 4. 4x, + x, + x3 = 7 %3D x - 3x, + x3 = -2 X1 - 7x, + 2xz = – 2 -x, + x2 - 3x3 = -6 3x, + 4x3 = 11 %3D 5. Apply the Gauss-Seidel method to Exercise 1.
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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