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Math Help - Complex Coefficient Polynomial Roots

  1. #1
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    Question Complex Coefficient Polynomial Roots

    Hey

    I am looking for an algorithm which can be used to approximate the complex roots of a complex coefficient polynomial. Such as:

    (3-4j)x^4 + (1+2j)x + (-4+1)

    The polynomial is not of any specific order, and could be quite large.

    Any help would be appreciated as i am completely stuck at the moment.

    Thanks.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by SmeagZ View Post
    Hey

    I am looking for an algorithm which can be used to approximate the complex roots of a complex coefficient polynomial. Such as:

    (3-4j)x^4 + (1+2j)x + (-4+1)

    The polynomial is not of any specific order, and could be quite large.

    Any help would be appreciated as i am completely stuck at the moment.

    Thanks.
    First you need to localise the roots, so that you know where to look. The Cauchy bound and its veriants will do this for you. Newton-Raphson will find complex roots if you start close enough.

    CB
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