A reduction of truss topology design problem formulated by semidefinite optimization （SDO） is considered. The finite groups and their representations are introduced to reduce the stiffness and mass matrices of truss...A reduction of truss topology design problem formulated by semidefinite optimization （SDO） is considered. The finite groups and their representations are introduced to reduce the stiffness and mass matrices of truss in size. Numerical results are given for both the original problem and the reduced problem to make a comparison.展开更多
In this paper, we give the eigenvalues of the manifold Sp（n）/U（n）. We prove that an eigenvalue λs（f1,f2,...,fn） of the Lie group Sp（n）, corresponding to the representation with label （f1, f2,..., fn）, is an...In this paper, we give the eigenvalues of the manifold Sp（n）/U（n）. We prove that an eigenvalue λs（f1,f2,...,fn） of the Lie group Sp（n）, corresponding to the representation with label （f1, f2,..., fn）, is an eigenvalue of the manifold Sp（n）/U（n）, if and only if f1, f2,..., fn are all even.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No.10771133)the Research Fundation for the Doctoral Program of Higher Education (Grant No.200802800010)the Key Disciplines of Shanghai Municipality (GrantNo.s30104)
文摘A reduction of truss topology design problem formulated by semidefinite optimization （SDO） is considered. The finite groups and their representations are introduced to reduce the stiffness and mass matrices of truss in size. Numerical results are given for both the original problem and the reduced problem to make a comparison.
文摘In this paper, we give the eigenvalues of the manifold Sp（n）/U（n）. We prove that an eigenvalue λs（f1,f2,...,fn） of the Lie group Sp（n）, corresponding to the representation with label （f1, f2,..., fn）, is an eigenvalue of the manifold Sp（n）/U（n）, if and only if f1, f2,..., fn are all even.
