Numerical Example

 
Iteration 3 continues in the same manner.  The new voltages for iteration 3 are shown below:
 

 
This is starting to look more and more like a physical set of voltages.  Each iteration changes the values in the matrix less and less as the solution asymptotically converges to the physical solution.

In fact, this iteration process could continue indefinitely.  We must have a stopping criterion, which is basically a test to detect whether or not we've reached the right answer.  The simplest stopping criteria are based on the maximum changes in voltages from iteration to iteration.  If the values in the matrix are changing very slightly, we have likely reached the solution.

 
 
 
 
 
 
 
 

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