Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (5): 590-596.

• 论文 • 上一篇    下一篇

THE PROPERTIES OF A KIND OF RANDOM SYMPLECTIC MATRICES

闫庆友   

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China
  • 收稿日期:2000-08-30 修回日期:2001-12-04 出版日期:2002-05-18 发布日期:2002-05-18
  • 基金资助:
    the Special Funds for the State M ajor Basic Research Projects(G1999032805);Doctor Foundation of Education Committee of China

THE PROPERTIES OF A KIND OF RANDOM SYMPLECTIC MATRICES

YAN Qing-you   

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China
  • Received:2000-08-30 Revised:2001-12-04 Online:2002-05-18 Published:2002-05-18
  • Supported by:
    the Special Funds for the State M ajor Basic Research Projects(G1999032805);Doctor Foundation of Education Committee of China

摘要: 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.

Abstract: 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.

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