- #1

Spectre Moncy

- 2

- 0

## Homework Statement

(Ax = B)

A:

3.1410 -2.7180 1.4140 -1.7321

9.8690 2.7180 -7.3890 0.4280

2.2360 -2.4490 1.0000 -1.4140

31.0060 7.3890 -2.6450 0.1110

B:

3.316

0

3.141

1.414

The question in my Numerical Methods assignment asks to use the Jacobi Iterative method to solve the system.

## Homework Equations

The Jacobi Iterative method works ONLY IF a matrix is diagonally dominant. It's not mentioned in my Numerical Analysis textbook. I have only found out about this on wiki.org.

I have found out that the matrix A (See above) is not diagonally dominant. So the method will not work on this system (Ax = B).

Did I miss something? What should I do? I tried the method very carefully. The solution set doesn't make sense.