• Topics:
• Eigenvalue Decomposition
• Numerical Linear Algebra

Download: pdf

Citation

• Inner deflation of Symmetric, Tridiagonal Matrices (pdf, software)
  I. Dhillon, A. Malyshev.
  Linear Algebra and its Applications 358(1), pp. 139-144, January 2003.
  
  Bibtex:
  
  @article{dhillon2003innerdefl, author = "Inderjit S. Dhillon AND A.N. Malyshev", title = "Inner deflation of Symmetric, Tridiagonal Matrices", journal = "Linear Algebra and its Applications", page = "139–144", volume = "358", issue = "1", year = "2003", month = "jan", 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." }