| 1. | Subspace iteration accelerated by using chebyshev polynomials
多项式加速的子空间迭代法 |
| 2. | Preconditioning subspace iteration method
预处理子空间迭代法 |
| 3. | Subspace iteration method
子空间迭代法 |
| 4. | In this paper , we consider the subspace iteration method for solving large symmetric eigenproblems
本文研究求解大型对称矩阵特征值问题的子空间迭代法。 |
| 5. | In order to accelerate the convergence rate , we improve the original method with chebyshev polynomials and preconditioning techniques , and present two new algorithms
为了加速子空间迭代法的收敛性，我们应用chebyshev多项式与预处理技术，得到了两个新的改进算法。 |
| 6. | We analyze the convergence of the new methods and give some results of numerical experiments in which we compare the new methods with the original subspace iteration method
本文分析了这两个改进算法的收敛性，给出了数值试验的结果，并将新方法与原始子空间迭代法进行了比较。 |
| 7. | Our numerical results show that the accelerated subspace iteration method by using chebyshev polynomials and the preconditioning subspace iteration method are superior to the original subspace iteration method
数值试验结果表明用chebyshev多项式与预处理技术加速的子空间迭代法比原始子空间迭代法优越。 |
| 8. | Secondly , to analyze seismic response of the concrete gravity dam , subspace iterative method was applied to compute free vibration period of the dam , time integration method was built up for the seismic time history analysis and formulation of coupled vibration of reservoir water and dam were also deduced
其次，针对混凝土重力坝的地震响应分析问题，采用子空间迭代法计算了大坝的自振周期，建立了地震时程分析的逐步积分方法，并且推导了库水和坝体耦合振动的理论公式。 |
| 9. | In this thesis , the internal force and transfiguration of the double reticulated dome under different load combination are studied ; the linear and nonlinear analysis are separately performed ; compare the difference between space girder element and space truss element ; at last analyze the dynamical response under seismic action . the horizontal seismic response of double layer oblate lattice shell is analyzed by using step - by - step integration procedure . the effect of some parameters such as exterior load , different support conditions and damping ratio on the dynamic internal forces and dynamic properties is studied
本文旨在研究双层球状网壳结构在各种载荷组合下的内力和变形，分别进行了线性和非线性静力分析；进行了空间梁单元和空间杆单元两种计算模型的比较；最后进行了在地震荷载作用下的动力反应分析，动力分析中用子空间迭代法得出了这类空间结构的动力特性，用时程法中的振型叠加法分析了结构在水平地震作用下的动态响应规律。 |
| 10. | ( 2 ) based on the wave equation in the acoustic fluid space and the theory of thin - wall structure , the non - symmetrical coupled structure - acoustic dynamic equation without damping is studied . the non - symmetric system of the finite element model for coupled structure - acoustic response is solved by the conjugate subspace iteration method
由声空间波动方程和薄板理论出发，对声场?结构耦合系统的模态分析提出了有限元数值方法，采用共扼子空间迭代法对非对称特征方程进行处理，采用静凝聚法消除质量矩阵的奇异性。 |
