2. — 4х, + 2х, 3-6 Зх, — 5х, 3x, 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer number 2
![8:39 O V A •
Bllll 68%i
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.
1. Зх, — х, %3D 2
2. - 4x, + 2x, = -6
x, + 4x, = 5
Зх, — 5х, —
1
3. 2х, — х,
4. 4x, + x, + x3 =
7
=
x1 - 3x, + xz = -2
-x, + x, - 3x = -6
x - 7x, + 2x; = -2
3x,
+ 4x3 = 11
5. Apply the Gauss-Seidel method to Exercise 1.
6. Apply the Gauss-Seidel method to Exercise 2.
7. Apply the Gauss-Seidel method to Exercise 3.
8. Apply the Gauss-Seidel method to Exercise 4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6a08047-2e29-4756-ae04-96331026d654%2F5daa0bd6-0105-400d-8c25-05a6d480db95%2Fvjjlnd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8:39 O V A •
Bllll 68%i
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.
1. Зх, — х, %3D 2
2. - 4x, + 2x, = -6
x, + 4x, = 5
Зх, — 5х, —
1
3. 2х, — х,
4. 4x, + x, + x3 =
7
=
x1 - 3x, + xz = -2
-x, + x, - 3x = -6
x - 7x, + 2x; = -2
3x,
+ 4x3 = 11
5. Apply the Gauss-Seidel method to Exercise 1.
6. Apply the Gauss-Seidel method to Exercise 2.
7. Apply the Gauss-Seidel method to Exercise 3.
8. Apply the Gauss-Seidel method to Exercise 4.
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