SVD

对于abaqus子程序学习的初学者，这是一个学习umat的很好算例,(Abaqus subroutine for beginners to learn, this is a good example to learn umat,)

有限元方法fortran编程，包括二维三维线性非线性静态分析、稳定流瞬时流分析、振动问题、特征值问题、并行计算等。包含了所有子程序。(Finite element method fortran programming, including 2D and 3D linear and nonlinear static analysis, steady flow transient flow analysis, vibration problems, eigenvalue problems, parallel computing. Contains all subroutines.)

故障检测，分别是pls和pca，计算spe和t2控制量。(Fault detection is pls and PCA, respectively, to calculate SPE and T2 control.)

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.)

基于最小二乘法的离散数据的曲面拟合，有二次拟合和三次拟合，并能自动出图(Based on the least squares method of discrete data of the surface fitting, there are quadratic fitting and three fitting, and can automatically plot)

有限元分析与应用中的程序，用于平面束分析(Finite element analysis and application of the program, for planar beam analysis)

说明：  使用fortran编写的无网格（光滑质点流体动力学）SPH算法(using FORTRAN prepared by the non-grid (smooth particle hydrodynamics) SPH algorithm)

final积分，一种用于计算积分的快速有效的fortran方法。(final integrate)

lasso regression. It is very good to use for statics processing.

FFT和FIR 快速傅里叶变换和FIR滤波器实验程序(Fast Fourier Transform FFT and FIR and FIR filter experimental procedure)