Finding the eigenvalues of a complex matrix

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jezza10181
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Hi,

I am aware of the implicit QR algorithm, which utilises the 'Francis QR step' to find the eigenvalues of a real, square matrix.

But, how would one find the eigenvalues of a complex matrix? Would the 'explicit' version of the QR algorithm be used here, using complex arithmetic?

Thanks
 
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maybe if you explain what you do know, someone will see how to generalize it.