迭代法

Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

课程的主题包括：非线性常微分方程组；二维自治系统；与课程相关的基本理论，如比卡迭代法，压缩映射定理，Bellman-Gronwall引理，平衡点稳定性分析的李雅普诺夫第一种方法和第二种方法，反馈的线性化；以及非线性电路和控制系统的实际应用。

By this iterative method, the solvability of the matrix equation can be determined automatically.

此迭代法可以自动地判定矩阵方程AX+XB+C=0的可解性。

In this paper,an iterative method is constructed to find the centrosymmetric solution of matrix equation where is real matrix pair .

本文构造了一种迭代法求矩阵方程的中心对称解对。

An algorithm was constructed to solve the least squares bisymmetric solution of a class of matrix equation.

构造了一种迭代法求一类矩阵方程的最小二乘双对称解。

Iteration method of Gauss-Seidel is used to solve the equation set.

方程组的求解采用Gauss-Seidel迭代法。

A new calculation method of structure-spring compensation iteration method presented in the paper can solve the problem of space nonlinear interaction of arch-shaped support structure.

本文提出新的具有普遍适用性的结构计算方法~弹簧补偿迭代法。

Firstly, we apply block AOR method to find the least square solution of minimal norm to the rank deficient linear systems where A is a complex m*n matrix with rank k.

首先，我们把求解线性方程组的块加速超松弛迭代法应用于求解亏秩线性方程组的最小范数最小二乘解，其中线性方程组的系数矩阵A是秩为k的m*n复矩阵。

Mechanical reason of borehole collapse in brittle shale is researched. With the elastic theory, the formula for calculating the maximum and minimum drilling fluid density that would cause the initial shear fracture in vertical and inclined borehole is derived and the influence of formation non-linear deformation property is taken into account. The solution of the formula is given by iteration method.

研究了硬脆性泥页岩井壁坍塌的力学机理，利用弹性力学理论推导出了直井、斜井井壁产生初始剪切破坏而造成井壁坍塌的泥浆密度上、下限的理论计算公式，并对地层非线性变形性质对井壁应力的影响进行了修正，编制了迭代法数值求解软件。

We present an inverse method based on Tikhonov regularization theory. A regularized functional is established and regularization parameters are deduced with Arcangeli criterion and Morozov discrepancy principle. The functional is solved by sensitivity coefficients and Newton-Raphson iteration method.

充分考虑非线性瞬态热传导过程测温数据的误差特点，根据Tikhonov正则化理论，构造合适的正则化泛函，利用Arcangeli准则和Morozov偏差原理确定正则参数，采用灵敏度系数和Newton-Raphson迭代法求解该泛函。

In this paper we analyze the theory of Julia sets of Newton method for multiple roots, construct the standard, relax and multiple root's Julia sets.

作者分析了重根牛顿变换的Julia集理论，并利用迭代法构造了标准牛顿变换、松弛牛顿变换和重根牛顿变换的Julia集。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新