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Math Help - a nonlinear problem

  1. #1
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    a nonlinear problem

    I am not sure that I post at the right palce, because I don't know which topic my problem should belong to. So sorry for that.

    Given some variables a1, a2, a3... an, and some constraints based on these variables, like:
    a1 + a2 >0,
    a3 - a5 >0,
    a4 - a3 + a2 <0,
    ....
    How to get a solution for variables, that maximun the positive number of variables. That means, make as much of
    the variables positive. I even don't know which area this topic should belong to. Please help. Thanks in advance!
    steve
    Last edited by zhu1984; July 23rd 2010 at 11:16 AM.
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  2. #2
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    In general, if you have a non-linear problem in which you have to maximise or minimise something whilst paying due consideration to constrain equations, it's a problem of non-linear programming.

     \displaystyle \max_{c} (a_1, a_2, a_3, ..., a_n) where  c represents your constraint equations.
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  3. #3
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    But is there any practical way to solve it?
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  4. #4
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    Try gnumeric.
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  5. #5
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    Quote Originally Posted by zhu1984 View Post
    I am not sure that I post at the right palce, because I don't know which topic my problem should belong to. So sorry for that.

    Given some variables a1, a2, a3... an, and some constraints based on these variables, like:
    a1 + a2 >0,
    a3 - a5 >0,
    a4 - a3 + a2 <0,
    ....
    How to get a solution for variables, that maximun the positive number of variables. That means, make as much of
    the variables positive. I even don't know which area this topic should belong to. Please help. Thanks in advance!
    steve
    I'd like to guide you to a practical solution to this problem, but I'm not sure if you've given us the full problem, have you?

    In your question, you said you had n variables, and gave us three constraint equation which involved only 5 of those n variables. How many variables are there, and are there any more constraint equations?
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  6. #6
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    The number of variables can be 200 or more. And all of the variables are involved in constraints. The example I gave may not clear enough.
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