Re: System of equations with complex numbers



"Chapter" <davidsuarez82@xxxxxxxxx> wrote in message
news:1146047372.566922.37050@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
How can i resolve a equation system with complex numbers? i try with
num. solv. -> solve lin sys but this not accept comlex

You can break the system up into real and complex parts and "stack" those two
parts on top of each other:

[Re(A) ] [Re(x)] = [Re(b)]
[Im(A) ] [Im(x)] = [Im(b)]

....then use "solve lin sys" to find the combined vector [Re(x) Im(x)] and
re-combine the parts back into a complex vector.

Warning: I don't really know what I'm talking about here; I really just know
enough to be dangerous. The above does work, but someone like Rodger
Rosenbaum can hopefully chime in and list a few caveats; I seem to recall that
this approach inherently limits the range of X to a part of the complex plane,
which is not always desirable.

---Joel Kolstad


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