11.13 Use the Gauss-Seidel method (a) without relaxation and (b) with relaxation (A = 1.2) to solve the following system to a tolerance of ɛ, = 5%. If necessary, rearrange the equations to achieve convergence. 2x - 6x2 – X3 = – 38 - 3x, - x, + 7x, = -34 -8x, + x2 - 2x3 = -20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

11.13

11.13 Use the Gauss-Seidel method (a) without relaxation and
(b) with relaxation (A = 1.2) to solve the following system to a
tolerance of ɛ, = 5%. If necessary, rearrange the equations to
achieve convergence.
2x1 - 6x2 - X3 = -38
- 3x, - x, + 7x, = -34
-&x + x2 - 2x3 = -20
Transcribed Image Text:11.13 Use the Gauss-Seidel method (a) without relaxation and (b) with relaxation (A = 1.2) to solve the following system to a tolerance of ɛ, = 5%. If necessary, rearrange the equations to achieve convergence. 2x1 - 6x2 - X3 = -38 - 3x, - x, + 7x, = -34 -&x + x2 - 2x3 = -20
Expert Solution
steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,