| 1. | Preconditioning subspace iteration method
预处理子空间迭代法 |
| 2. | Subspace iteration method
子空间迭代法 |
| 3. | 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。 |
| 4. | 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。 |
| 5. | 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。 |
| 6. | ( 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。 |
| 7. | The main part of this hybrid algorithm is a chebyshev iteration which applies chebyshev polynomials to act on initial vectors and makes the obtained vectors close to the wanted eigenvectors ; the second one is the preconditioning subspace iteration method which uses a preconditioning matrix to impact the residual matrix obtained from the iteration procedure , so the distribution of eigenvalues is improved
第一个改进算法是用chebyshev多项式加速的子空间迭代法，它是用chebyshev多项式作用初始向量，使其更接近所要求的特征向量。第二个改进算法是对每次迭代所得的残余矩阵直接进行预处理以改善矩阵特征值的分布。 |
| 8. | One self - anchored suspension bridge is the subject investigated , the finite element program " midas " is adopted to establish the spatial computation model of the suspension bridge , and the subspace iteration method is used to calculate the natural vibration frequencies and modes of the bridge , the bridge ' s dynamic property and rigidity feature are discussed with the computed results
摘要以某自锚式悬索桥主桥为研究对象，采用midas有限元程序，建立了该桥的空间力学计算模型，利用子空间迭代法计算了该桥梁结构的自振频率和振型，结合计算结果对桥梁的动力特性和刚度特点进行了讨论。 |
