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Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems

  • Published:2002-08 Issue: Volume:351-352 Page:455-474
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Higham Nicholas J.,Tisseur Françoise,Van Dooren Paul M.

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference25 articles.

1. Overdamped and gyroscopic vibrating systems;Barkwell;Trans. AME: J. Appl. Mech.,1992

2. A bisection method for measuring the distance of a stable matrix to the unstable matrices;Byers;SIAM J. Sci. Statist. Comput.,1988

3. The nearest definite pair for the Hermitian generalized eigenvalue problem;Cheng;Linear Algebra Appl.,1999

4. ALGORITHM 646 PDFIND: A routine to find a positive definite linear combination of two real symmetric matrices;Crawford;ACM Trans. Math. Software,1986

5. Finding a positive definite linear combination of two Hermitian matrices;Crawford;Linear Algebra Appl.,1983

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