| 1. | A preconditioner for the simulation using harmonic balance
预条件在谐波平衡仿真算法中的应用 |
| 2. | With the help of metis , which is a software package in static graph partitioning , we construct a type of block jacobi preconditioner
J时十u个1任用问题，分别用该分解作近似川j i ’ d寸十八’ 。 |
| 3. | The methods and techniques in writing the preconditioner of the finite element modeling of semi - rigid connections with programming language c are mainly introduced
主要介绍用c语言编写梁柱半刚性连接节点有限元模型前处理时的方法和技巧。 |
| 4. | The preconditioner m is derived on the base of saor and the alternating method . then we use conjugate gradient method to solve the preconditioned system max = mb
这种方法基于saor迭代法以及交错法，构造了预条件子m ，然后利用共轭梯度法来求解预条件方程max = mb 。 |
| 5. | Some preconditioner technique is also studied to improve the condition number and further accelerate iterations , comparisons are made between them by numerical results
本文还研究了几种预条件技术,用于改善算子的条件数,进一步加速迭代,同时用数值结果对比了各自的优劣。 |
| 6. | Due to the convergence of cg method is strongly dependent on the condition number of the hessian , the inexact newton method with cg subiterations will be powerful if these cg subiterations are replaced by preconditioned cg subiterations with suitable preconditioner
由于cg法的收敛状态强烈的依赖于海色阵的条件数，所以用条件预优共轭梯度法( pcg )替代cg法会得到更好的效果。 |
| 7. | The other are a hybrid preconditioning strategy , in which a simple pivoting preconditioner is used in combination with the standard inverse - midpoint method and a new scheme for selecting the real point in formulating interval newton equation
使用混合预处理和优化实数向量：所谓混合预处理，就是联合了标准中点逆矩阵预处理和中枢预处理。优化实数向量就是选择合适的实数向量来缩小线性区间等式的解向量n ( x )所包括的范围。 |
| 8. | Instead , there needs to store only the original coefficient matrix , some auxiliary matrices for the preconditioner and several vectors in the iteration methods . further , the core of the iteration is the matrix - vector multiplication and the solution of the auxiliary equations corresponding to the preconditioner . if the solution of the auxiliaries spend not very much , the computational cost in each iteration step will be very cheap , due to the fact that the sparsity of the matrix can be exploited sufficiently
与直接法相比，迭代法只需存储原系数矩阵、对应于预处理的几个辅助矩阵与少量几个向量，且迭代中除求解辅助线性方程组外，其余的计算主要是稀疏矩阵与向量乘积，从而能充分利用稀疏性减少计算量，但迭代法的收敛速度一般与系数矩阵的谱分布有关。 |
| 9. | In the first part , we study three kinds of pre - conditioners - - block - triangular preconditioner , constraint preconditioner and block - diagonal preconditioner respective1y and fast iterative so1vers for indefinite 2 by 2 b1ock linear systems with zero ( 2 , 2 ) block . the spectrum and form of eigenvalues of each preconditioned nlatrix are presented . all of the three kinds of preconditioned linear systems are so1ved by gmres ( 20 ) and theii efficiencies are cornpared
在第一部分中，我们研究了三种不同的预条件矩阵一块三角预条件矩阵、约束预条件矩阵和块对角预条件矩阵作用到2 2块线性系统(其中右下角块为零)以后的快速迭代解法，给出了预条件作用后系统的特征值的谱和形式，比较了三种不同预条件作用后采用cmres ( 20 )方法求解的有效性。 |
