Applied Mathematics and Mechanics

, Volume 23, Issue 5, pp 590–596 | Cite as

The properties of a kind of random symplectic matrices

  • Yan Qing-you


Several important properties of a kind of random symplectic matrix used by A. Bunse-Gerstner and V. Mehrmann are studied and the following results are obtained: 1) It can be transformed to Jordan canonical form by orthogonal similar transformation; 2) Its condition number is a constant; 3) The condition number of it is about 2.618.

Key words

symplectic matrix QR-like algorithm eigenvalue condition number Jordan canonical form Schur canonical form 

CLC number



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics All rights reserved 1980

Authors and Affiliations

  • Yan Qing-you
    • 1
  1. 1.Department of Applied MathematicsDalian University of TechnologyDalianP R China

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