# Inner deflation of Symmetric, Tridiagonal Matrices

#### Inderjit Dhillon, A. Malyshev

Abstract:   Suppose that one knows an accurate approximation to an eigenvalue of a real symmetric tridiagonal matrix. A variant of deflation by the Givens rotations is proposed in order to split off the approximated eigenvalue. Such a deflation can be used instead of inverse iteration to compute the corresponding eigenvector.