Matlab_Tutorial

说明：  生成PI的一个小程序 可以精确掉小数点后几百位。 (PI generated a small program can accurately swap places after the decimal point a few hundred.)

改进了BIHT l2 中的观测矩阵，实验结果证明，误差更小了(change BIHT l2 ，perform better)

此源程序是用MATLAB生成一个计算器，简单易懂(This source code is generated using MATLAB a calculator, easy to understand)

IEEE118节点标准参数及潮流计算数据(The IEEE118 node standard parameters and flow calculation data)

这本书针对MATLAB编程的浅显的讲解，比较适合初步开发者的思路。(This book for MATLAB programming facile explanations, more suitable for the initial developer of thinking.)

RBF（径向基神经网络）网络是一种重要的神经网络，RBF网络的训练分为两步，第一步是通过聚类算法得到初始的权值，第二步是根据训练数据训练网络的权值(RBF (radial basis function neural network) network is an important neural network, RBF network training is divided into two steps, first step is to get through the initial clustering algorithm weight, the second step is the training of the network based on training data weight)

利用matlab将excel文件中的数据导入或导出，介绍相应函数的用法(Using matlab to excel file import or export data to introduce the usage of the corresponding function)

BP神经网络容易陷于局部极小值，PSO算法在无约束非线性函数优化方面性能优越，通常可以直接找寻到全局最优解，即使不能搜多到全局最优解，也距离全局最优点不远。当然，基本PSO算法陷入局部极值也是有的。对于这个缺点目前还没有找到比较有效、省市的解决方案。本案例实现利用PSO算法和BP算法共同训练神经网络，先将网络进行PSO算法训练，然后BP算法接着进行小范围精细搜索，PSO算法训练神经网络的本质就是将输出误差函数（即能量函数）看成目标函数，PSO对能量函数进行全局寻找最小值。(BP neural networks are prone to local minimum values. The PS algorithm has superior performance in the optimization of unconstrained nonlinear functions. It can usually find the global optimal solution directly. Even if it can not find more global optimal solutions, it is not far from the global best. Of course, there is also a local extreme of the basic PO algorithm. For this shortcoming, there is no more effective, provincial and municipal solution. This case realizes the use of the SO algorithm and the BP algorithm to train the neural network. First, the network is trained in the SO algorithm, and then the BP algorithm is followed by a small range of fine searches. The essence of the PO algorithm training neural network is to regard the output error function(ie, the energy function) as the objective function, and the PO seeks a global minimum value for the energy function.)

通信系统链路可靠性和节点可靠性的计算并将两者综合(Communication link reliability and node computing system reliability and a combination of both)

光学非球面的模拟和计算，用于计算非球面的斜率(ASPHERE_DIFF calculates the slope of an aspherical surface at a given height)