ON SOME EIGENVECTOR-EIGENVALUE RELATIONS.
- Resource Type
- Reference Entry
- Authors
- Elhay, S.; Gladwell, G. M. L.; Golub, G. H.; Ram, Y. M.
- Source
- SIAM Journal on Matrix Analysis & Applications. 1999, Vol. 20 Issue 3, p563-574. 12p.
- Subject
- *EIGENVALUES
*EIGENVECTORS
*MATRICES (Mathematics)
*STURM-Liouville equation
*GREEN'S functions
*MATHEMATICS
- Language
- ISSN
- 0895-4798
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 SturmLiouville equations. [ABSTRACT FROM AUTHOR]