Geometrical representations of bounds of eigenvalues
Kyuichiro WASHIZU · Journal of the Society of Applied Mechanics of Japan · 1953
In this paper, several theorems which provide upper and lower bounds for the eigenvalues of Hermitian operator are represented in a geometrical space. The problems here treated are of finite degree of freedom and represented in a n-dimensional vector space. This method, however, can be extended to a system with an infinite number of freedom.