本文指出，在矩阵迭代法的迭代过程中，特征值近似值序列是单调收敛的，并给出计算实例。
This paper indicated that the sequence of approximate value of eigenvalue is monotone convergent in the iteration process of matrix iteration method. And also gave examples.
本文主要运用一种具有全局收敛性的单调迭代法求解了一类非线性扩散方程的数值解。
This paper mainly studies the numerical solution of a class of nonlinear diffusion equations using a monotone iteration method with the global convergence.
在给定条件下，证明了该迭代法的收敛性，并给出了误差估计式。
The convergence of the iterative method is proved under some conditions, and an error estimate formula is presented.
而求解特征值问题的子空间迭代法，当矩阵的特征值的分布范围较大时，其收敛速度会受到限制。
The convergence rate of subspace iteration method used to compute eigenvalues problem is confined when the distribution range of eigenvalues is large.
本文提出了一种选主元迭代法。对一类发散的线性系统讨论了其收敛性，并举例说明之。
In this paper, We developed a select main element iterative method. For a class linear system of divergence discussed convergence, and illustrate by examples.
还给出了在结构重分析中简单迭代法收敛的一个必要条件。
A necessary condition for simple iteration convergence in structural reanalysis is proposed.
在有限元分析模型中引入了牛顿迭代法，以使每一时间步长的末端温度满足某一限制条件而平衡收敛。
Newton Raphson method was introduced into the FEM analysis model in order to ensure that the solution of each iterative step would converge by means of satisfying some restrictive condition.
从真空中模态特征频率出发用迭代法直到水中频率收敛为止而得到水中方板的特征频率，进而计算了方板的棤态辐射效率。
Moreover the vibration frequencies of the plate are computed using iterative method, which begins with the in vacuo eigenfrequency and continues until in-water eigenfrequency con-verges.
同时详细讨论了迭代法的收敛条件。
The convergence condition of this interactive method is discussed in detail in this paper.
在用迭代法求解线性方程组时，迭代矩阵的谱半径估计及其收敛性分析是非常重要的。
For solving the linear system with the iterative method, it is very important to estimate the spectral radius of the iterative matrices and give the convergence analysis.
算例计算表明了本文所提出的这种隐式流线迭代法能提高收敛速度和减少计算时间。
It is shown from the computational results of the examples that the implicit method of streamline iteration can speed up the convergence and decrease the computational time.
此迭代法求解公式不仅收敛快，计算精度高，应用方便，而且可供计算机程序求解。
This iteration calculation formula possessed properties including fast convergence, high accuracy and convenience for use, and can be operated through computer program.
目前最近距离扫描算法使用迭代法来计算最近距离点，计算量较大，迭代算法的收敛性对扫描算法的整体性能有较大的影响。
Currently, the iterative method is used to calculate the nearest points in scanning the nearest distance, which requires a large amount of calculation.
第四章也利用三次优函数得到了两类一般迭代法的收敛性和误差估计。
Then we give the convergence and error estimates for two types of generalized iterations by means of cubic majorizing function in chapter four.
利用矩阵的范数讨论了矩阵的收敛问题，得出了迭代法求解时的收敛条件及误差估计。
We discussed the problems of convergence by norm of a matrix, obtaining the formulation of error estimate and the conditions of convergence in requesting the solutions by iterative method.
针对牛顿迭代法收敛精度和速度受初值影响的问题，基于数据插值和拟合方法，研究了迭代初值生成技术。
Meanwhile, considering that Newton iterative method is sensitive to the initial value of parameters, the paper studied generated methods for initial values on basis of data interpolation and fitting.
计算熵密度函数时采用牛顿迭代法，从而解决了在分析基桩竖向承载力的可靠度时可能产生的迭代不收敛的情况。
The Newton iterative method is used in the calculation of entropy density function, by which the non-convergence issue in the calculation for the vertical bearing capacity of piles is solved.
该文在统一判定条件下，借助于三次优函数，给出了两类一般迭代法的不同于以前的收敛性和误差估。
In this paper, a new convergence theorem and error estimates for two types of generalized method are obtained by means of cubic major function, under the unified determination.
研究了一类超定非线性方程组的牛顿迭代法的收敛性。
The convergence properties of Newton's method for a type of overdetermined systems of equations were studied.
牛顿迭代法也称为牛顿切线法，是解非线性方程的一种方法，通过实例对该方法进行了介绍，包括其理论依据、误差估计、收敛阶数、迭代法初始值的选取规则等。
This paper introduces the method with examples to explain it, including its connective knowledge, theory bases, error estimation, convergence order, and the choosing rule for starting value of it.
采用收敛速度快的块迭代法解代数方程组。
The block iteration method is used in solving these linear equations.
计算所用的网格是具有交错网格主要特点的修正非交错网格，并采用一种压力修正法和G - S中心对称迭代法加速收敛。
Furthermore, a pressure correction procedure and the Gauss-Seidel centrally symmetric iteration algorithm are used to enhance the convergence rate.
该算法基于统一迭代法，完整考虑了交、直流系统间的耦合关系，因此，它与统一迭代法一样，具有良好的收敛性。
It is based on the unified iterative method and gives a complete consideration to the coupling relations between AC system and DC system, so its convergence is as good as the unified iterative method.
牛顿迭代法的收敛性是极易受到初始值或初始猜测值的影响。
Convergence of the Newton Iterative Method is highly sensitive to the initialization or initial guess.
近年来许多迭代格式的收敛性的研究都是针对非奇异问题而言的，因此研究迭代法求解奇异问题在理论上也是一种补充。
Most iterative methods are well studied for non-singular problems, so the research for solving singular problems is a complementary to the nonlinear theory.
近年来许多迭代格式的收敛性的研究都是针对非奇异问题而言的，因此研究迭代法求解奇异问题在理论上也是一种补充。
Most iterative methods are well studied for non-singular problems, so the research for solving singular problems is a complementary to the nonlinear theory.
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