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Positive operator?

  1. May 31, 2005 #1
    "A positive operator A is defined to be an operator such that for any vector |v>=!0, <v|A|v> is real, non-negative number."

    Can somebody tell me how can I check if a matrice (for example 4x4) is positive or not?

    Thanks in advance
  2. jcsd
  3. May 31, 2005 #2

    matt grime

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    Science Advisor
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    This behaviour also comes under "positive definite", ie A defines a positive definite bilinear map. Google along those lines, it's well documented,

    One criterion is if the eigenvalues are all positive.
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