Lasso

说明：  编程观察无穷级数 1/n的收敛性。 采用 IEEE 单精度浮点数，观察当 n 为何值时求和结果不再变化，将它与理论分析的结论进 行比较 (注：在 MATLAB 中可用 single 命令将变量转成单精度浮点数)。(Programming observation of convergence of infinite series 1/n)

根据X和Y两组数据，将两组数据在X-Y平面上最小二乘法拟合出圆(According to X and Y two sets of data, the two sets of data in the X-Y plane, the least square method of fitting the circle)

说明：  本程序用在测试采煤机煤矸识别系统中，验证小波算法(Wavelet Algorithm for caving coal)

用最小二乘法进行电力系统状态估计，包含IEEE30节点的电力系统图(Using least squares power system state estimation, including IEEE30 bus power system diagram)

1、 写出此两点边值问题的积分形式； 2、 构造有限元方程； 3、 编程计算显示计算结果。(1, write the two-point boundary value of the integral form 2, structural finite element equation 3, programming calculations show the results.)

说明：  光流场HS算法，主要用的是差分算法，MATLAB编写(Optical flow field HS algorithm, the main differential algorithm)

多相流cfd程序，用fortran实现，有多流体和dem计算功能，当然还有其它更多功能(MFiX is a general-purpose computer code developed at the National Energy Technology Laboratory (NETL) for describing the hydrodynamics, heat transfer and chemical reactions in fluid-solids systems. It has been used for describing bubbling and circulating fluidized beds and spouted beds. MFiX calculations give transient data on the three-dimensional distribution of pressure, velocity, temperature, and species mass fractions. MFiX code is based on a generally accepted set of multiphase flow equations. The code is used as a "test-stand" for testing and developing multiphase flow constitutive equations.)

程序是采用SA方式求解MDVRP问题，先对MDVRP问题进行分组，将其转化成SDVRP问题，然后采用SA算法进行计算。(this program is used to solve MDVRP problem by SA.)

基于经典的增广拉格朗日乘子法, 对求解一类带有特定结构（主要是针对凸规划）的非光滑等式约束优化问题, 我们提出、分析并测试了一个新算法. 在极小化增广拉格朗日函数的每一步迭代中, 该算法有效结合了带有非单调线性搜索的交替方向技术, 我们建立了算法的收敛性, 并用它来求解在带有全变差正则化的图像恢复问题.(Based on the classic augmented Lagrangian multiplier method, we propose, analyze and test an algorithm for solving a class of equality-constrained nonsmooth optimization problems (chiefly but not necessarily convex programs) with a particular structure. The algorithm effectively combines an alternating direction technique with a nonmonotone line search to minimize the augmented Lagrangian function at each iteration. We establish convergence for this algorithm, and apply it to solving problems in image reconstruction with total variation regularization.)

LM3S例程系列，非常实用。 代码稍加修改即可使用。(LM3S routine series, very practical. The code is slightly modified can be used.)