In this paper , we give a class of superlincarly convcngent algorithms for nonlinear programming problems with linear constrained by combining non - quasi - newton methods with the projection methods 本文结合文[ 2 ]中的非拟牛顿法与投影类算法，给出了求解线性约束非线性优化问题的一类具有超线性收敛的投影非拟牛顿算法。
The general shamanskii modification of the newton method is defined by the iteration and the global and superlinear convergence of the general shamanskii modification of the newton method are proved in this dissertation 我们不仅证明了改进的sha一mansk灯修正牛顿法的全局收敛性，而且也证明该方法具有超线性收敛速度
The advantage of this method is that it is mostly suits to vary order and step size with the newton method or pseud newton method , and to eliininate the interface errors of the solution of differential equations and algebraic equations 其特点是可以采取牛顿法或伪牛顿法实现，更适合于变步长技术的应用；可以消除了迭代过程中的交接误差。
In chapter three , a back / forward sweeps based on branch loss for power flow is presents , which is credited with simple program , good numerical value stability , small ems memory and rapid calculation 第三章介绍了基于支路网损的配电网前推回推潮流算法，该算法编程简单，数值稳定性好，占用内存小，计算速度快，并且收敛性和收敛速度均优于牛顿法。
The improvement can be achieved under the mild conditiolls . for the same dimension problems , the larger the cost to evaluate the objective function , the more the improvement of the new algorithm versus newton method with ad 需要说明的是，在已有的文献中，牛顿- pcg算法与牛顿法的效率比是在目标函数复杂性很小的假设条件下讨论的，本文去掉了这一限制。
The method first uses ward equivalent principles to determine the injection power and equivalent impedance of external network boundary buses . then compute the power flow of equivalent network by newton method with proper modification of equivalent injection power of boundary buses 该方法首先采用ward等值原理,来确定外部网络在边界节点的等值注入功率和等值阻抗,然后采用牛顿法对等值网络进行潮流计算,并修正边界节点的电压值和等值注入功率。
The jacobin matrix and its elements for differential - algebraic equation simultaneous solution with newton method are formed . the network injection current and its partial differential coefficient are also derived . so , the basic calculation formulas for the full dynandc simulation are established 导出了牛顿法联立求解微分方程组和代数方程组的雅可比矩阵，以及雅可比矩阵各元素的计算公式；导出了网络方程中电流注入量及偏导数的计算公式。
So , as the worst case when the computation cost of the objective function is negligible , the improvement is strictly increasing with respect to n and tends to + oc approximately at a rate lnn / ln2 when n - + oo . the results also show that the im - provement of cf - pcg algorithin with ad over newton method with ad is much greater than the improvement of cf - pcg algorithm witll sd over newton method with sd 本文也对不同的微分方法下牛顿- pcg算法与牛顿法的效率比进行了比较，得出：在一般的假设下，使用自动微分下的效率比严格大于使用符号微分下的效率比，而且它们的比值随问题维数n趋于无穷，即应用自动微分的牛顿- pcg算法对牛顿法有进一步的改进。
Procreant knowledge expression and forward inference engine are adopted in the method of fault diagnosis based on expert system theory . in the fault diagnosis applying neural network theory , six kinds of improved arithmetic of back - propagation arithmetic , including gradient descent with momentum , variable learning rate back - propagation , resilient back - propagation , quasi - newton , levenberg - marquardt and conjugate gradient , are applied to diagnose the faults of electric load manage center and solid state power controller . different diagnostic results gotten by simulation are compared at last 在基于专家系统的故障诊断方法中，采用了产生式知识表达和正向推理机制；在基于神经网络的故障诊断方法中，则分别采用了bp神经网络的附加动量法、自适应学习速率、弹性bp算法、拟牛顿法、共轭梯度法和levenberg - marquardt法对电气负载管理中心和固态功率控制器的故障进行诊断，并对由仿真得到的不同诊断结果进行比较。
A complex particle swarm optimization ( cpso ) algorithm , which combines the advantages of method of complex ( mc ) and particle swarm optimization ( pso ) , is put forward to solve systems of nonlinear equations , and it can be used to overcome the difficulty in selecting good initial guess for newton ' s method and the inaccuracy of mc and pso due to being easily trapped into local minima for solving systems of nonlinear equations 摘要结合复形法与粒子群算法的优点，提出粒子群复形法，用于求解非线性方程组，以克服牛顿法初始点不易选择的问题，同时克服复形法与粒子群算法由于易陷入局部极值而导致方程组的解的精度不够的不足。
