The Properties of a Kind of Random Symplectic Matricess
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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.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.
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Key words:
- symplectic matrix /
- QR-like algorithm /
- eigenvalue /
- condition number /
- Jordan canonical form /
- Schur canonical form
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