Let's consider two symmetric real matrices $A$ and $B$ of dimension $2N$ and with the same (algebraic) eigenvalues, possibly degenerate.

Is there a simple criterion to tell whether there exists or not a symplectic orthogonal matrix $S$ that transforms $A$ into $B$ ? $$B=S^\top A S $$

Can I build explicitly such a matrix ?

Thanks, Olivier


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.