Complex system of equations



Barton Willis <willisb <at> unk.edu> writes:

> 
> (1) Maybe (%i7) should be e3 : ...?

Yes sorry :(

> 
> (2) The function solve does not handle equations that involve a variable and
its conjugate.

Ok but, is there other ways to solve such a system ?

> 
> (3) Changing (%i7) to e3 : ..., and eliminating ix,iy, and v yields an
equation for i that
>     has no solution, I'm pretty sure.

You are right (sorry again),... to simplify I've used incoherent numbers :( 

The following system should have a solution (i=1.4-2.8*%i) 

(%i1)?declare(ix,complex)$
(%i2)?declare(iy,complex)$
(%i3)?declare(v,complex)$
(%i4)?declare(i,complex)$
(%i5)?[va,vb,za,zb,s]:[80,70,1+2*%i,1+%i,100+200*%i];
(%i6)?e1:va-za*ix=v;
(%i7)?e2:vb-zb*iy=v;
(%i8)?e3:ix+iy=i;
(%i9)?e4:v*conjugate(i)=s;
(%i10)?solve([e1,e2,e3,e4],[ix,iy,v,i]);

Thank you very much for your Help! 

Regards 
Renzo