Numerische Mathematik

, Volume 44, Issue 1, pp 103–110

Eigenvector matrices of symmetric tridiagonals

  • B. N. Parlett
  • W. -D. Wu


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) 6540 CR: 5.14 


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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

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