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Math Help - Determine values for a so that function is strictly convex/concave/indefinite?

  1. #1
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    Determine values for a so that function is strictly convex/concave/indefinite?

    I am given a function:

    g(x,y,z) = ax^2 - y^2 + xy - z^2

    The full question is:

    Determine for which (if any) values of a is g (x, y, z) strictly concave, for which (if any) it is strictly convex, and for which (if any) it is indefinite.

    I know how to find D^2 but I am struggling to remember how to go about find values for a, I did this in a revision lecture but the lecture slides don't give the workings, he did that on the board and I cannot find my notes on it.

    Any help much appreciated as always MHF.

    Regards,
    Wevans2303.
    Last edited by Wevans2303; May 27th 2012 at 02:28 AM.
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