MGS

说明：  数值分析中的chebyshev拟合程序，学习数值分析的同学可以参考参考(Numerical Analysis of chebyshev fit program, students study and numerical analysis can refer to reference)

这是求解线性规划问题的revised simplex method的算法，需要得知原始的基和基本解(This is the revised simplex method for linear programming problem. It needs the initial basis and basic solution for input.)

说明：  点云通过不同的多项式来进行曲线拟合，可以手动设置多项式的次数。(Point clouds are fitted by different polynomials,The degree of the polynomial can be set manually.)

基于CPLEX半连续变量求解发电机组单时段经济调度问题，给定负荷需求，求每台发电机输出P=0或Pmin<=P<=Pmax,使发电成本最小。(Semi-continuous variable based on CPLEX to solve a single period of economic generator scheduling problem, given the load demand, seeking each generator output P = 0 or Pmin <= P <= Pmax, the minimum cost of power generation.)

本征正交模态分解法,用于多维随机场特征模态提取，得到特征值及特征向量(proper orthogonal decompositioin)

Owen 弹塑性有限元源程序, 变刚度迭代法，牛顿拉夫森迭代。(Owen‘s source code, for plastic FEM)

利用c++编写了一个外点惩罚函数，用于对于对目标值的推算与尝试。(Use c++ to write a point outside the penalty function for the target value for the calculation and try.)

平面波展开法计算二维三组元周期结构的带隙特性。(Plane wave expansion method for calculation of two dimensional three groups yuan cycle structure of the band gap characteristic)

FFT源代码 FFT源代码 FFT源代码(FFT source code FFT source code FFT source code)

1. 牛顿迭代法 function [x,i]=newtonmethod(x0,f,ep,Nmax) 牛顿法求非线性方程根 x0是输入初始值, f是输入函数, 精度要求ep, Nmax为最大迭代次数 x是输出迭代序列,i是迭代次数 2. 二分法 function [x,k]=bisection(a,b,f,ep) 二分法解非线性方程 输入区间[a,b],函数f和误差ep, Nmax为最大二分次数 x为输出近似根, k为二分次数 ( Newton s law and the dichotomy)