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Re: Working with complex, not real number matrices

by randyk (Parson)
on Mar 15, 2007 at 15:05 UTC ( #604997=note: print w/replies, xml ) Need Help??


in reply to Working with complex, not real number matrices

If you don't mind a bit of algebra, you could write the equations in terms of their real and imaginary parts:

M A = B (Re M + i Im M) (Re A + i Im A) = (Re B + i Im B) (Re M) (Re A) - (Im M) (Im A) = Re B (Re M) (Im A) + (Im M) (Re A) = Im B
The latter two equations are two coupled (real) equations for the unknowns Re A and Im A, which you can solve for using Math::MatrixReal as in your example.

Update: You could write these two coupled equations as one matrix equation:

/ Re M -Im M \ / Re A \ / Re B \ | | | | = | | \ Im M Re M / \ Im A / \ Im B /
and then use Math::MatrixReal as before.

Replies are listed 'Best First'.
Re^2: Working with complex, not real number matrices
by gmacfadden (Sexton) on Mar 16, 2007 at 18:03 UTC
    Hi randyk,

    very closed form, elegant, and simple....THANKS!

    gmacfadden

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