| 1. | An iterative algorithm of solving generalized optimal set of discriminant vectors based on perturbation
基于扰动方法的广义最佳鉴别矢量集求解的一种迭代算法 |
| 2. | An analytical algorithm of solving generalized optimal set of discriminant vectors based on perturbation method
基于扰动方法的广义最佳鉴别矢量集求解的一种解析算法 |
| 3. | Based on the randomized method , a randomized method with pretreatment is obtained for the design problem of fir digital filters with discrete coefficients
结合随机扰动方法，得到了求解离散系数滤波器设计问题的一种带预处理的随机扰动算法。 |
| 4. | Compared with the conventional randomized method , the randomized method with pretreatment often yields a better sub - optimal performance and costs less cpu time
与随机扰动方法相比，带预处理的随机扰动方法得到的次优解的性能更好，需要的时间也大大减少。 |
| 5. | 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。 |
| 6. | To the first equation , the banach contraction mapping theorem is used to show the local existence of the solutions , we use potintial well method to prove the global existence and the decay rate of the solutions , to the blow - up of the solution we use the energy method
本文主要采用bananch压缩映射原理来获得解的局部存在性；采用势井方法来获得解的整体存在性和衰减估计；对解的爆破结论的证明主要采用能量方法；对解的能量衰减估计主要采用能量扰动方法。 |
| 7. | The main contents are as follows : ( 1 ) by employing the direct method , the soliton periodic amplification system in optical fiber link with loss is considered , and the adiabatic solution ( slowly varying portion ) and first - order correction ( rapidly varying portion ) for a single soliton case are presented
本文的主要内容如下： ( 1 )利用直接扰动方法对周期放大系统进行了理论分析，给出孤子周期放大系统的绝热近似解和一级修正解的积分表达式，结果分析表明孤子在放大过程中一部分能量以色散波的形式流失，而这一色散波主要由孤子周期放大系统的一级修正解来刻画。 |
| 8. | Thirdly , we obtain multiplicity of solutions for resonant non - homogeneous boundary perturbations from symmetric problem without parameter by a new perturbation method introduced by bolle in reference [ 4 ] , applied in references [ 5 ] [ 6 ] and extend in reference [ 7 ] . references [ 5 ] [ 6 ] have considered some exceptive case while the section consider general case
再次，利用bolle在文献[ 4 ]中提出的、被应用于文献[ 5 ] [ 6 ]以及在文献[ 7 ]中被推广的一种新的扰动方法得到问题即不带参数的对称共振非齐次边值扰动问题的多重解，在文献[ 5 ] [ 6 ]中讨论了非线性项为摘要几种特殊情形的情况，此部分讨论非线性项为一般情形的情况 |
| 9. | For the model with defined pressure on boundary both inside and outside , the thesis first proofed the discrete numeric solution existence of the general difference equation to the seepage mathematical model by discrete functional analysis ; then it presented a concise and effective numeric solution , predicted - corrected method , and proofed the convergence of it
( 2 )对于所建立的数学模型，我们利用线形化和正则扰动方法来求出模型在拉氏空间的近似解析解。由于近似解析解形式的复杂性，这在理论分析和实际应用中都不方便，因而有必要寻求其简洁、高效的数值解法。 |
