| On the Computation of Skew-symmetric Matrices |
| Received:August 11, 1992 Revised:March 29, 1994 |
| Key Words:
skew-symmetric matrix symplectic eigenproblem.
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| Abstract: |
| The importance of skew-symmetric matrix computation is pointed out for optimalcontrol,structural mechanics and wave propagation problems first, then the close relationbetween skew-symmetric matrix and the symplectic geoinetry is explained. The simul-taneous equations can be solved by the cell matrix LDLＴ factorization method. To thesymplectic eigenproblem,the symplectic Jacobian algorithm, the symplectic Householdertransformation, cell tridiagonalization and cell symplectic SL algorithm are given for the skew-symmetric matrices. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1995.01.026 |
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