Mixing
Gauss-Seidel: I can't get diagonally dominant equations
$begingroup$
I've got the question:
Use the Gauss-Seidel method to solve:
$8x_1 - 16x_2 = 6$
$4x_1 + 8x_2 = 0$
I know that the equations have to be diagonally dominant, but I can't see how to determine this. I would change the system above to be diagonally dominant.
No matter which way round I have the equations, I just seem to be in an endless loop, so no divergence; but I don't get two results in a row to assume an answer.
Any ideas/hints would be greatly appreciated.
matrices algebra-precalculus
edited Jan 16 at 21:52
Andreas
8,1131037
asked Jan 16 at 21:38
Mitul SuchakMitul Suchak
65
$endgroup$
add a comment |
$begingroup$
I've got the question:
Use the Gauss-Seidel method to solve:
$8x_1 - 16x_2 = 6$
$4x_1 + 8x_2 = 0$
I know that the equations have to be diagonally dominant, but I can't see how to determine this. I would change the system above to be diagonally dominant.
No matter which way round I have the equations, I just seem to be in an endless loop, so no divergence; but I don't get two results in a row to assume an answer.
Any ideas/hints would be greatly appreciated.
matrices algebra-precalculus
edited Jan 16 at 21:52
Andreas
8,1131037
asked Jan 16 at 21:38
Mitul SuchakMitul Suchak
65
$endgroup$
$begingroup$
Add the second equation to the first?
$endgroup$
– I like Serena
Jan 17 at 1:06
add a comment |
$begingroup$
I've got the question:
Use the Gauss-Seidel method to solve:
$8x_1 - 16x_2 = 6$
$4x_1 + 8x_2 = 0$
I know that the equations have to be diagonally dominant, but I can't see how to determine this. I would change the system above to be diagonally dominant.
No matter which way round I have the equations, I just seem to be in an endless loop, so no divergence; but I don't get two results in a row to assume an answer.
Any ideas/hints would be greatly appreciated.
matrices algebra-precalculus
edited Jan 16 at 21:52
Andreas
8,1131037
asked Jan 16 at 21:38
Mitul SuchakMitul Suchak
65
$endgroup$
I've got the question:
Use the Gauss-Seidel method to solve:
$8x_1 - 16x_2 = 6$
$4x_1 + 8x_2 = 0$
I know that the equations have to be diagonally dominant, but I can't see how to determine this. I would change the system above to be diagonally dominant.
No matter which way round I have the equations, I just seem to be in an endless loop, so no divergence; but I don't get two results in a row to assume an answer.
Any ideas/hints would be greatly appreciated.
matrices algebra-precalculus
matrices algebra-precalculus
edited Jan 16 at 21:52
Andreas
8,1131037
asked Jan 16 at 21:38
Mitul SuchakMitul Suchak
65
edited Jan 16 at 21:52
Andreas
8,1131037
asked Jan 16 at 21:38
Mitul SuchakMitul Suchak
65
edited Jan 16 at 21:52
Andreas
8,1131037
edited Jan 16 at 21:52
Andreas
8,1131037
edited Jan 16 at 21:52
Andreas
8,1131037
8,1131037
asked Jan 16 at 21:38
Mitul SuchakMitul Suchak
65
asked Jan 16 at 21:38
Mitul SuchakMitul Suchak
65
asked Jan 16 at 21:38
Mitul SuchakMitul Suchak
65
65
$begingroup$
Add the second equation to the first?
$endgroup$
– I like Serena
Jan 17 at 1:06
add a comment |
$begingroup$
Add the second equation to the first?
$endgroup$
– I like Serena
Jan 17 at 1:06
$begingroup$
Add the second equation to the first?
$endgroup$
– I like Serena
Jan 17 at 1:06
$begingroup$
Add the second equation to the first?
$endgroup$
– I like Serena
Jan 17 at 1:06
add a comment |
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$begingroup$
Add the second equation to the first?
$endgroup$
– I like Serena
Jan 17 at 1:06