Numerische Mathematik

, Volume 44, Issue 1, pp 103–110

Eigenvector matrices of symmetric tridiagonals

  • B. N. Parlett
  • W. -D. Wu

DOI: 10.1007/BF01389758

Cite this article as:
Parlett, B.N. & Wu, W.-. Numer. Math. (1984) 44: 103. doi:10.1007/BF01389758


A simple test is given for determining whether a given matrix is the eigenvector matrix of an (unknown) unreduced symmetric tridiagonal matrix. A list of known necessary conditions is also provided. A lower bound on the separation between eigenvalues of tridiagonals follows from our Theorem 3.

Subject Classifications

AMS(MOS) 6540CR: 5.14

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • B. N. Parlett
    • 1
  • W. -D. Wu
    • 2
  1. 1.Mathematics DepartmentUniversity of California-BerkeleyBerkeleyUSA
  2. 2.Beijing Centre for International Economic InformationBeijingPRC