该算法具有二阶收敛性，其有效性为文中展示的图像分离测试效果所证实。
The algorithm is two-order convergent, Whose validity is confirmed by effect of the image separation test.
我们给出同伦路径的存在性和收敛性证明，并通过数值实验验证新算法的有效性。
The existence and convergence of the homotopy path are proved, and efficiency of our method is illustrated by the numerical experimentations at last.
大量的仿真研究表明了本算法的有效性，其中多站跟踪比单站跟踪具有更高的精度、算法稳定性和快速收敛性。
Simulation results show the validity of the presented algorithm. Compared with single-sensor tracking, multi-sensor tracking is of higher accuracy, stability and convergence rate.
通过李亚普诺夫稳定理论证明跟踪误差是指数收敛的，仿真结果验证了这种方法的有效性。
It is showed by the Lyapunov stability theorem that the tracking errors converge exponentially. The simulation results illustrate the efficiency of this method.
通过实验研究，表明该方法收敛速度快，学习能力强，并提高了系统的鲁棒性，证实了其在电机速度控制中的有效性。
It is shown in the experiment that this object function converges rapidly, and could improve both the learning speed and robustness of such speed servo control system.
并将其应用到基于溶解气体分析的变压器故障诊断中，实例表明，采用该方法具有较快的收敛速度和较高的诊断准确度，说明了该方法的正确性和有效性。
Simulation results of transformer fault diagnosis based on the dissolved gas analysis show that this method improved convergence speed and diagnosis accuracy to some extent and it is effective.
同时，对其解的收敛极限进行了讨论；并通过实例验证了该算法的有效性。
Discusses the limit of the solution, and proves the effectiveness of the algorithm by examples.
本文从函数逼近的观点研究了边界配置法解的有效性及收敛性。
In the present paper the convergence and validity of the results of boundary collocation procedure are studied by considering function approximation.
在较为温和的条件下，利用宽松的非精确线搜索条件得到全局收敛性结果，同时数值实验表明了算法的有效性。
Underan inexact line search condition and some other mild conditions, the global convergence was established. Preliminary numerical results show that the proposed method is promsing.
通过理论模型和实际资料计算，证明了此法的有效性，它具有抗干扰、适合速度横向变化、收敛快等特点。
The computations of theoretical modeling and real seismic data proved this method effective. This method has these merits: high a...
算例分析证明了本文所提出的用于分析混合负荷方法的收敛性和有效性。
The proposed method for analyzing combined load flow is proven through a case study.
此外该算法具有收敛速度快、鲁棒性强、估计精度高等优点。通过拖曳阵和体积阵的仿真实验，验证了所提出方法的有效性和正确性。
And it is demonstrated via analysis and simulation that this method is robust to system error and has the advantage of rapid convergence rate.
仿真结果验证了算法的有效性，新算法改善了峰值信噪比和恢复效果，提高了算法收敛速度。
Computer simulations show that new algorithm improves peak signal to noise ratio, restoration effects and efficiency of operations, and speeds up the convergence speed.
历次迭代产生的全局历史最优解的良好收敛，验证了模型的正确性和算法的有效性。
The good convergence state of the globally best solution, which is produced at the iterations, has proved that t…
在通常条件下，证明了全局收敛性及局部超线性收敛结果，数值结果验证了新方法的有效性。
Under general conditions, the local and global convergence results of the new method are proved. Numerical experiments show that the new method is very efficient.
从理论上证明了新算法的全局收敛性，数值试验结果也表明了新算法的有效性。
The new algorithm is shown to be globally convergent and numerical experiments indicate that it is very effective for large scale unconstrained minimization problems.
最后通过数值试验，来验证该算法的有效性，结果表明该算法具有良好的收敛性。
Finally, numerical experiments were done to verify the effectiveness of the algorithm, and the result shows that it has good convergence.
Matlab仿真结果验证了所提算法的有效性。该方法计算复杂度低，分辨率高，精度高，收敛快。
The results of Matlab. based simulation prove the proposed algorithm is of low computational complexity, high resolution, superb precision and fast convergence.
当有新的状态信息输入时，通过对信息流的前向处理和后向处理，使它收敛到一个稳定的规则，从而给出合理的决策方案。 应用实例说明了这种方法的有效性。
In this approach, come decision rules are stored in an associative matrix, by processing the new inputted state information forward and backward, a reasonable decision alternative can be obtained.
当有新的状态信息输入时，通过对信息流的前向处理和后向处理，使它收敛到一个稳定的规则，从而给出合理的决策方案。 应用实例说明了这种方法的有效性。
In this approach, come decision rules are stored in an associative matrix, by processing the new inputted state information forward and backward, a reasonable decision alternative can be obtained.
应用推荐