FA

这个帖子中我想讨论的是移动窗口多项式最小二乘拟和平滑方法，粗糙惩罚方法，以及kernel平滑方法。(Posts in this discussion I think are moving window least squares polynomial fitting smoothing method, crude methods of punishment, as well as the kernel smoothing 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.)

序列二次规划(SQP)方法被认为是解决非线性约束优化最有效的方法之一，传统的SQP算法每一步迭代都要求解QP子问题。 　　(Sequential two times programming (SQP) is considered to be one of the most effective ways to solve nonlinear constrained optimization. The traditional SQP algorithm requires QP iteration for every iteration.)

一个利用共轭梯度法的正则化实例： 通过输入矩阵的维数，利用共轭梯度法的原理，进行正则化计算；Morozov偏差原理(A conjugate gradient method using the regularization Example: Enter the dimensions of the matrix, using the principle of conjugate gradient method for regularization calculation)

实现最小二乘的仿真函数，有3次和9次多项式的拟合。(Realize the simulation of least squares function, has 3 times and 9 times polynomial fitting.)

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

说明：  vumat案例,可以参考这个vumat子程序自行学习vumat的编写(hi. it is a file for VUMAT. it may help you to learn about it.)

说明：  matlab程序，有约束最优化问题直接法--复合形法(matlab program, constrained optimization problems are the direct method- the complex method)

新建复数类进行复数运算，重载+、=+、*、/等运算符用于复数间的运算。(New complex class complex operation, overloading+ =+,*,/operator for computing the plural.)

根据海水的速度 密度 温度 盐度等计算海洋各处的压力数值(Speed ​ ​ according to the density of seawater temperature and salinity values ​ ​ calculated pressure throughout the ocean)