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Math Help - Minimize an Error Function

  1. #1
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    Question Minimize an Error Function

    Hi,
    How can I find x1...xL such that minimize the Sigma expression having the following assumptions (see attached file)?
    S1...SK and c1...cK are given constants (belong to R).
    thanks for your assistance.
    Tamir
    Attached Thumbnails Attached Thumbnails Minimize an Error Function-minimize_question.jpg  
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by tamirberler View Post
    Hi,
    How can I find x1...xL such that minimize the Sigma expression having the following assumptions (see attached file)?
    S1...SK and c1...cK are given constants (belong to R).
    thanks for your assistance.
    Tamir
    You only need minimise:

    - sum_{i=1 to K} [c_i (x_{A_i} - x_{B_i})^2]

    or maximise:

    sum_{i=1 to K} [c_i (x_{A_i} - x_{B_i})^2]

    Which needs all the c_i be negative.

    RonL
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  3. #3
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    Question Correction to my question (oops...)

    sorry but the attached image is actually the correct minimization experssion.
    Appreciate your help.
    Tamir
    Attached Thumbnails Attached Thumbnails Minimize an Error Function-minimize_question.jpg  
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