摘要
本文讨论反对称矩阵的数值计算问题．指出联立方程求解可以用分块矩阵ＬＤＬ￣Ｔ算法．对于反对称阵的辛本征问题论述了辛雅可比算法，辛Ｈｏｕｓｅｈｏｌｄｅｒ变换．分块三对角化等．对最优控制、结构力学、波的传播等，是一种好的算法．
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 LDL￣T factorization method. To thesymplectic eigenproblem,the symplectic Jacobian algorithm, the symplectic Householdertransformation, cell tridiagonalization and cell symplectic SL algorithm are given for theskew-symmetric matrices.
基金
国家自然科学基金和教委博士点基金
