| 1. | Wind induced responses determination of dome like roof using lanczos vectors direct superposition
向量直接叠加法确定圆拱顶屋盖风致响应 |
| 2. | The implicitly restarted block lanczos method is the polynomial acceleration method . the rate of convergence depends on the choice of shifts
隐式重新开始块lanczos方法是多项式加速的方法，其收敛速度取决于位移的选择。 |
| 3. | This thesis derives three algorithms for solving large indefinite symmetric sparse linear systems on the basis of lanczos method
本文研究求解大型对称不定线性方程组的数值方法，在lanczos算法的基础上提出了三个改进的算法。 |
| 4. | If the converged ritz value is unwanted then it must be removed from the subsequent of block lanczos factorizations . this is called purging
如果所得到收敛的ritz值是不想要的，则把它从块lanczos因子分解的子序列中除去，即所谓清除。 |
| 5. | If the converged ritz values is wanted , it is necessary to keep it in the subsequent of block lanczos factorizations . this is called locking
如果在迭代过程中所得到收敛的ritz值是想要的，则把它保存在块lanczos因子分解的子序列中，即所谓锁定。 |
| 6. | Numerical results show the dynamic deflation for the implicitly restarted block lanczos method is effective for computing the multiple or clustered eigenvalues of a large sparse symmetric matrix
数值结果表明，动态收缩的隐式重新开始块lanczos方法，对计算大型稀疏对称矩阵的重特征值或密集特征值是有效的。 |
| 7. | The first algorithm is the restarted and deflated lanczos algorithm . at each beginning , we rich approximate eigenvectors corresponding to a few of smallest eigenvalues in magnitude to the krylov subspace
第一种算法是重新开始的带特征向量的lanczos算法，每次重新开始时，我们把一些绝对值较小的特征值对应的特征向量加入到krylov子空间。 |
| 8. | This paper mainly studies the backward perturbation methods in solving the linear systems , and total minimal backward perturbation ( tminback ) method for symmetric linear systems is presented
本文研究了求解线性方程组的向后扰动方法。对求解对称线性方程组的lanczos方法做出了向后扰动分析，给出了求解对称线性方程组的总体极小向后扰动( tminback )方法。 |
| 9. | Firstly , it is generalized to the block case . secondly , we absorb the preconditioning idea of davidson method and preconditioned lanczos method and propose preconditioned inexact newton method and preconditioned block inexact newton method
首先将不精确newton方法推广到块形式；其次借鉴davidson方法和预处理lanczos方法的预处理思想，提出了预处理不精确newton方法和预处理块不精确newton方法。 |
| 10. | In order to compute the multiple or clustered eigenvalues effectively , a dynamic deflation technique for the implicitly restarted block lanczos method is presented , and its application to the implicitly restarted block lanczos method is discussed
为了有效地计算重特征值或密集特征值，本文讨论了动态收缩技术对隐式重新开始块lanczos方法的应用，提出了隐式重新开始块lanczos方法的动态收缩技术。 |
