Use the Gauss-Seidel iterative technique to find approximate solutions to 10x1 – x2 + 2x3 = 6, -x1 + 11x – x3 + 3x4 = 25, 2.x1 – x2 + 10x3 - X4 = -11, 3x2 - X3 + 8x4 = 15 starting with x = (0,0,0,0)' and iterating until ||x) – x*-1)||. < 10-3

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
Example 3 Use the Gauss-Seidel iterative technique to find approximate solutions to
10x1 - x2 + 2.x3
= 6,
-x1 + 11x - x3 + 3x4 = 25,
2x1 –
X2 + 10x3 - X4 = -11,
3x2 - x3 + 8x4 = 15
starting with x = (0,0,0,0)' and iterating until
||x) – xR-1|la.
< 10-3.
Transcribed Image Text:Example 3 Use the Gauss-Seidel iterative technique to find approximate solutions to 10x1 - x2 + 2.x3 = 6, -x1 + 11x - x3 + 3x4 = 25, 2x1 – X2 + 10x3 - X4 = -11, 3x2 - x3 + 8x4 = 15 starting with x = (0,0,0,0)' and iterating until ||x) – xR-1|la. < 10-3.
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Systems of Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
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,