MatlabMie

信号维数的估计，计算一维光子晶体的透射特性和反射特性，小波包分析提取振动信号中的特征频率。( Signal dimension estimates, Calculated transmission characteristics and reflection characteristics of the one-dimensional photonic crystals, Wavelet packet analysis to extract vibration signal characteristic frequency.)

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.)

非定常导热，附件包含3个源代码。分别对应着FTCE、BTCS和紧致格式的程序代码(unsteady conduction)

based classification (SRC) has been widely used for face recognition (FR). SRC first codes a testing sample as a sparse linear combination of all the training samples, and then classifies the testing sample by evaluating which class leads to the minimum representation error. While the importance of sparsity is much emphasized in SRC and many related works, the use of collaborative representation (CR) in SRC is ignored by most literature.

从旋转矩阵到四元数的转换，matlab代码。(From the rotation matrix to quaternion conversion, matlab code.)

有限元中LinearBarElementStiffness的matlab(FEA LinearBarElementStiffness)

偏最小二乘回归的通用程序，以“基于近红外光谱分析的汽油组分建模”为例 (Partial least squares regression of the general program of " Near infrared spectroscopy based gasoline component modeling" as an example)

最小二乘递推算法及其matlab实现（计算估计值）(least squares method)

一般线性规划问题具有线性方程组的变量数大于方程个数，这时会有不定的解。当决策变量个数n和约束条件个数m较大时，单纯形法是求解线性规划问题的通用方法。 从线性方程组找出一个个的单纯形，每一个单纯形可以求得一组解，然后再判断该解使目标函数值是增大还是变小了，决定下一步选择的单纯形。通过优化迭代，直到目标函数实现最大或最小值(In general linear programming problems, the number of variables with linear equations is greater than the number of equations. When the number of decision variables n and constraint number m are large, simplex method is the general method for solving linear programming problems. Find out one by one from the linear equations of the simplex, each a simplex can get a set of solution, and then concludes that the solution is the objective function value increases or smaller and decided to choose the next simplex. By optimizing iteration, until the target function achieves the maximum or minimum value.)

这是一个3维8节点计算弹性力学有限元的MATLAB程序： 1） 生成网格的程序，可以更改模型尺寸、单元数量等参数；2）可以 计算刚度矩阵、位移、应力等，并将结果保存；3）可以后处理程序显示结果；(This is a 3-D 8-node MATLAB program for calculating finite element of elasticity:1) mesh generation program, which can change the size of the model, the number of elements and other parameters; 2) stiffness matrix, displacement, stress and so on can be calculated, and the results can be saved; 3) the results can be displayed by post-processing program.)