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Annals of Operations Research

, Volume 98, Issue 1–4, pp 141–148 | Cite as

Some New Bounds for Singular Values and Eigenvalues of Matrix Products

  • L.-Z. Lu
  • C.E.M. Pearce
Article

Abstract

For two Hermitian matrices A and B, at least one of which is positive semidefinite, we give upper and lower bounds for each eigenvalue of AB in terms of the eigenvalues of A and B. For two complex matrices A,B with known singular values, upper and lower bounds are deduced for each singular value of AB.

Keywords

Lower Bound Matrix Product Complex Matrice Positive Semidefinite Hermitian Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • L.-Z. Lu
    • 1
  • C.E.M. Pearce
    • 2
  1. 1.Department of MathematicsXiamen UniversityXiamenPR China
  2. 2.Department of Applied MathematicsThe University of AdelaideAdelaideAustralia

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