On Some Eigenvector-Eigenvalue Relations
Sylvan Elhay, G. M. L. Gladwell, Gene Howard Golub, Y.M. Ram · SIAM Journal on Matrix Analysis and Applications · 1999
This paper generalizes the well-known identity which relates the last components of the eigenvectors of a symmetric matrix A to the eigenvalues of A and of the matrix An-1, obtained by deleting the last row and column of A. The generalizations relate to matrices and to Sturm--Liouville equations.