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The properties of a kind of random symplectic matrices |
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| Authors: | Yan Qing-you |
| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China |
| 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. |
| Keywords: | symplectic matrix QR_like algorithm eigenvalue condition number Jordan canonical form Schur canonical form |
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