zernike

样条插值算法的matlab代码，包括一次样条插值，二次样条插值和三次样条插值，可根据需要选择(Spline interpolation algorithm matlab code, including a spline interpolation, quadratic spline interpolation and cubic spline interpolation, can be selected)

数学最优问题中，拉格朗日乘数法（以数学家约瑟夫·路易斯·拉格朗日命名）是一种寻找变量受一个或多个条件所限制的多元函数的极值的方法。(In the mathematical optimization problem, the Lagrange multiplier method (named by the mathematician Joseph Luis Lagrange) is a method of finding the extremum of a multivariate function which is restricted by one or more conditions.)

最小二乘法和总体最小二乘法，来自《矩阵分析与应用》(Least squares and total least squares method the Matrix Analysis and Applications )

最高用水量时，给水管网平差程序，c语言开发，含实例演示(When the maximum water consumption, water distribution network adjustment program, c language development, with examples demonstrate)

为了提高三级倒立摆系统控制的响应速度和稳定性,在设计Mamdani 型模糊推理规则控制器控制倒立摆系统稳定的基础上, 设计了一种更有效率的基于Sugeno 型模糊推理规则的模糊神经网络控制器。该控制器使用BP 神经网络和最小二乘法的混 合算法进行参数训练,能够准确归纳输入输出量的模糊隶属度函数和模糊逻辑规则。通过与Mamdani 型控制器的仿真对比, 表明该Sugeno 型模糊神经网络控制器对三级倒立摆系统的控制具有良好的稳定性和快速性,以及较高的控制精度。(In order to improve the three-level control of inverted pendulum system response speed and stability, in the design of Mamdani-type fuzzy inference rules of the system controller to control the stability of inverted pendulum on the basis of a more efficient design based on Sugeno-type fuzzy inference rules of fuzzy neural network controller. The controller is the use of BP neural network and hybrid least squares training algorithm parameters can be accurately summed up the amount of input and output fuzzy membership function and fuzzy logic rules. Mamdani-type controller with a simulation comparison shows that the Sugeno-type fuzzy neural network controller for the three-tier control of inverted pendulum system with good stability and fast, as well as a higher control precision.)

计算机常用数值算法与程序(C++版) (Commonly used numerical algorithm of computer and program )

//最小二乘法直线拟合 m_FoldList为关键点(x,y)的链表 拟合直线方程(Y=kX+b) (//linear least squares fitting m_FoldList as the key point (x, y) of Chain fitting linear equation (Y = C/56 b))

几个使用的解线性方程组的程序，包括高斯消去法，高斯列主元法，高斯——赛德尔消去法。简明实用。(Gauss elimaination, Gauss_seidel ellimination)

本代码可以用于计算特征向量或者矩阵的相似度。(This code can be used to calculate the similarity of the feature vector or matrix.)

matlab产生Alpha稳定分布随机数；Alpha稳定分布概率密度函数计算；Alpha稳定分布的分布函数计算等(Matlab produce Alpha stable random number distribution Alpha stability distribution probability density function computing Alpha stability distribution of distribution function is presented)