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Fourthly, Broyden iterative method is studied to solve nonlinear equation with parameters and the existence and convergence theorem is also given.

第四章的主要结果：研究用Broyden迭代求解带参数非线性方程，在弱条件下给出Broyden迭代格式的存在性和收敛性定理。

The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

提出一种应用迭代法求解新积分方程的迭代初值优化选择方法，并通过具体算例对比说明该方法可使频率域电磁测深三维模拟的计算效率得到有效提高。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

In this paper, we use the Pluricomplex Green function to investigate the iterative poperties of holomorphic self-maps, which are defined on the unit disk, the unit ball, the bounded strongly convex domain and the bidisc.

基于该思路，本文就利用多复Green函数，在分别研究了单位圆、超球、有界强凸域以及双圆柱上全纯自映射迭代的基础上，进一步研究了一特殊非凸域-Hartogs三角形上全纯自映射迭代的性质。

A Lipschitz strictly pseudocontractive map from a nonempty closed convex subset of a Hilbert space into itself was showed to have fixed points, Ishikawa and Mann iterative sequences with errors of a Lipschitz strictly pseudocontractive map was introduced and the iteration processes strongly converges to a fixed point was proved.

证明了在Hilbert空间中的非空闭凸集上Lipschitz严格伪压缩映象有不动点，介绍了Lips-chitz严格伪压缩映像下的的具误差的 Ishikawa和Mann迭代序列并证明了其强收敛性于不动点，其结果把非扩张映像推广到Lipschitz严格伪压缩映象上，改进了一些相关结果。

A complex thermal optimal mathematical model and a numerical iterative calculation method of multi-parameter function coordinate transformation are developed.

作者创造性地提出了迄今在理论上最为完整的溴化锂吸收式机组热力优化设计计算数学模型以及基于多元函数坐标轮换法的数值迭代计算方法。

The method based upon semi-infinite slopes is intended to approximate the prescribed transfer function. In order to minimize the error function, the least square method is adopted. The method of correction with term by term is used to avoid the divergent difficulties in iterative design.

本文提出以折线法来构造网络的逼近函数，并利用最小二乘法和逐项修正法相结合的办法来达到最优逼近，然后依据网络综合的理论，用RC网络的综合步骤来计算出实际元件值。

In chapter 3, combining the traditional augmented Lagrange function and the hyperbolic cosine function, we construct a new hyperbolic penalty function multiplier method for the equality constrained optimization and deduced the iterative formulas, and proved the convergence under some conditions.

在第三章中，我们把传统的增广Lagrange函数和双曲余弦函数结合，构造了一类新的在等式约束下的双曲罚函数乘子法，推导出了双曲乘子迭代公式。

We also develop an iterative cross-reference algorithm for chaotic time series analysis based on this method.Simulations show improved results.

基于这一框架，建立了一个用于混沌时间序列分析的交叉参考迭代算法，仿真结果表明了该方法对性能的显著改善。

The phrase of primary design of cruise missile is a iterative process.

巡航导弹的初步设计阶段是一个反复迭代优化的过程。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。