1
$\begingroup$

If matrix A is negative definite, then we know that all leading principal minors of even order are positive and all leading principal minors of odd order are negative. But does the same work for all principal minors and not only the leading ones?

$\endgroup$
1
$\begingroup$

Yes, since the submatrix corresponding to any principal minor is itself a negative definite matrix.

$\endgroup$

Your Answer

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

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