On a Differential Equation for the Eigenvectors of a Real Symmetric Matrix
Stephen H. Saperstone · SIAM Journal on Mathematical Analysis · 1971
For a given real symmetric matrix, a differential equation is established which has the property that eigenvectors of the matrix are asymptotically stable solutions for the differential equation. A Lyapunov function is constructed for this purpose, and subsequently, the regions of stability for the equation are characterized.