Numerical Example

 
The next step is to choose initial values for the unknown voltage elements (shown in the white squares).  For this example, we will set these matrix elements equal to zero:
 

 
Any initial value will work, although an intelligent choice of initial values will speed the convergence of the numerical solution.  For example, this example might converge a little faster if we put a value of 50 V in the white squares (since the final voltages should be somewhere between 0 and 100 V).  On the other hand, the solution for our choice of 0 V will be much faster than initial values of -4000 V or  +9999 V.
 
 
 
 
 
 
 
 

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