In Exercises 1– 4, apply the Jacobi method to the given system of linear equations, using the initial approximation (x,, x, · . . , x,) = (0, 0, . . . , 0). Continue performing iterations until two successive approximations are identical when rounded to three significant digits. %3D 1. Зх, x2 = 2 2. - 4x, + 2x, = -6 X, + 4x, = 5 3. 2х, - х, 3x, - 5x, 1 %3D = 2 x¡ - 3x, + x = -2 -X, + x2 - 3x3 = -6 4. 4x, + x2 + X3 = X - 7x, + 2r, = -2 3x 7 %3D %3D + 4x3 = 11
In Exercises 1– 4, apply the Jacobi method to the given system of linear equations, using the initial approximation (x,, x, · . . , x,) = (0, 0, . . . , 0). Continue performing iterations until two successive approximations are identical when rounded to three significant digits. %3D 1. Зх, x2 = 2 2. - 4x, + 2x, = -6 X, + 4x, = 5 3. 2х, - х, 3x, - 5x, 1 %3D = 2 x¡ - 3x, + x = -2 -X, + x2 - 3x3 = -6 4. 4x, + x2 + X3 = X - 7x, + 2r, = -2 3x 7 %3D %3D + 4x3 = 11
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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