Afham
afhamash.bsky.social
Afham
@afhamash.bsky.social
Research Fellow at the Centre for Quantum Technologies, National University of Singapore.
Postdoc-ing instead of Age of Empires-ing.
Malayali.
Thanks for the reply! But the example you posted has complex e.vals which are conjugates of each other with +ve real part, hence the trace and det condition will be satisfied without the e.vals being (real) positive.
March 23, 2025 at 12:16 AM
Here is a 'simple' 3-line proof for this statement!

(Although the simplicity hides behind the form and properties of the matrix geometric mean.)
March 14, 2025 at 5:24 PM