MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

How to calculate entropy using the eigenvalues when the eigenvalues are negative?

Is there a simple relation between the entropy of a matrix and its characteristic polynomial?

share|cite|improve this question
How do you define it? – Chris Godsil Jan 28 '13 at 12:41
the eigenvaluesof the matrix $H$ have to be real, positive and sum to unity, otherwise the entropy makes no sense. – Carlo Beenakker Jan 29 '13 at 8:30

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.