Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Science Advisor
    Homework Helper

    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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Positive operator?
  1. Positive Operator (Replies: 3)

  2. Adjoint operators (Replies: 10)