Archive for the ‘complex numbers’ Category

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A Technique for Finding Complex Roots

March 14, 2010

In regards to finding the roots of a polynomial.

This method I have found useful and effective on multiple instances.  It isnt always effective, however – it depends heavily on the polynomial itself and you might waste some time applying it ineffectually.  But if it does works… you simplify the problem and save yourself a lot of work. Its one of those tricks that you might use when you run out of options otherwise.
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Conjugate Pairing

March 12, 2010

The concept of conjugate pairing, as it pertains to finding the roots of a polynomial.

I have noted that some people are confused about the existence of irrational roots that dont have conjugate pairs.
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Definition: cis(θ)

February 22, 2010

Definition:

\mathrm{cis}(\theta) =\cos(\theta) + i\cdot\sin(\theta)

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