Let $A$ be a (possibly) non-symmetric matrix, and there exists a vector $x$ such that $x^TAx<0$. Under what further conditions can one conclude that there exists an eigenvalue with negative real part?
2026-03-29 15:02:30.1774796550
Given a non-symmetric matrix $A$, when does $x^TAx<0$ implies existence of a eigenvalue with negative real part?
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