matinv

矩阵转换问题 行与列的个数均为n 的矩阵称为n 阶方阵。假定矩阵中的每个元素的值在0到9之间，则可以将矩阵中的所有元素按行依次排列得到一个“单行矩阵字符串”。(Matrix conversion, the number of rows and columns of the matrix n are called n-order square. Assume that each element of matrix value in the 0 to 9, you can press all the elements of the matrix rows in order of priority for a " single matrix string." )

说明：  线性代数同济第六版,最适用的一版,有书签(Linear algebra tongji sixth edition)

Generic templates of algorithms for sparse matrixs

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.)

利用五点差分格式和Jacobi迭代法，求解精确解和数值解的误差，判断阶数是否正确(Five-point difference scheme and Jacobi iteration method are used to solve the error between exact solution and numerical solution and to judge whether the order is correct or not.)

lyapunov指数求解，采用wolf法，计算速度极快(lyapunov Index solving, using wolf law, the calculation speed)

abaqus子程序fric摩擦材料clough-duncan模型，二三维通用，已经验证(abaqus subroutine frictional material fric)

偏微分方程数值解法的程序包，包括拉普拉斯方程、对流方程和扩散方程的各种解法(Numerical Solution of Partial Differential Equations package, including the Laplace equation, convection-diffusion equation equation and the various solution)

小波分解与最小二乘支持向量机，用于天线故障诊断。(Wavelet decomposition and least squares support vector machine for antenna diagnostics.)

点扩展函数的获取，最小二乘法估计PSF，验证通过，直接运行(Get the point spread function, least squares estimation PSF, verified by direct operation)