Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I would like to generate normal matrices by an, say python, algorithm, that produces normal matrices distributed evenly in the limit of large n. I would not like to be restricted to Hermitian matrices since I would at some point also need imaginary eigenvalues.

share|improve this question
    
What do you mean with 'evenly distributed'? –  Roland Feb 4 at 18:28

1 Answer 1

Of course, every normal matrix can be written $$ A = UDU^* $$

where $D$ is diagonal (with the eigenvalues), and $U$ is unitary. Maybe it would work to construct your normal matrices starting with the diagonal form - you can choose exactly the eigenvalues you would like, or at least choose them from a user-determined set of numbers, and then you just need to find a way to generate unitary matrices (in a manner that is satisfactorily "random" for your needs).

share|improve this answer

Your Answer

 
discard

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

Not the answer you're looking for? Browse other questions tagged or ask your own question.