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Thread: Karush-Kuhn-Tucker Conditions

  1. January 16th 2012, 11:30 AM #1
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    Karush-Kuhn-Tucker Conditions

    I want to minimise -x_1^2 - x_2^2 with the conditions that 0<=x_1<=1, 0<=x_2<=1 and I am supposed to confirm whether there is a minimum at point (1,0,0) or (1,1,1). Graphically, I can see the minimum is at (1,1,1), however, the KKT conditions also seem to get fulfilled at the point (1,0,0) which I can graphically is not the minimum. Any help appreciated!
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  2. March 7th 2012, 09:13 AM #2
    eigenvex
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    Re: Karush-Kuhn-Tucker Conditions

    Wait...why do you have points in 3-dimensions when you only have 2 optimization variables?
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