On Some Eigenvector-Eigenvalue Relations

نویسندگان

  • Sylvan Elhay
  • Graham M. L. Gladwell
  • Gene H. Golub
  • Yitshak M. Ram
چکیده

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.

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عنوان ژورنال:
  • SIAM J. Matrix Analysis Applications

دوره 20  شماره 

صفحات  -

تاریخ انتشار 1999