一类条件数为常数的随机辛阵的性质

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基金项目: 国家重点基础研究项目(G1999032805);国家教委博士点科研基金资助项目

The Properties of a Kind of Random Symplectic Matricess

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China

摘要: 对A.Bunse-Gerstner和V.Mehrmann使用的一种随机辛阵的性质进行了研究.证明了1)其可以通过正交相似变换化为一种特殊的Schur标准型;2)其条件数为一常数;3)该常数约为2618.
- 辛矩阵 /
- QR型算法 /
- 特征值 /
- 条件数 /
- 约当标准型 /
- Schur标准型
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 unmber is a constant.3) The condition unmber of it is about 2.618.
- symplectic matrix /
- QR-like algorithm /
- eigenvalue /
- condition number /
- Jordan canonical form /
- Schur canonical form

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