bifurcation and LE

有均匀线阵的CRB曲线，自己编的5种调制信号，用于建立主成分分析模型。( There ULA CRB curve, Own five modulation signal, Principal component analysis model for establishing.)

1.数据时随机产生的（产生1000个随机数），进行排序2.每一次数据排序之后，都可以看到排序的移动，交换次数以及排序的时间。 (1. After randomly generated data (generated 1000 random numbers), every sort 2. Sort the data, you can see the sort of move, switching times and sort of time.)

说明：  相场法材料计算的modelc-alloy 对应的基础代码，自取基础有用(The basic code corresponding to modelc-alloy for phase field method material calculation, useful for self-extraction)

Spearman程序代码，可以用于分析相关性关系，挖掘数据之间的联系(Spearman program code)

用R做贝叶斯估计，估计随机微分方程中的参数(Bayesian estimation made by R, the parameter estimates stochastic differential equation)

MATLAB编写的非结构化网格生成程序，不算很长(MATLAB program written in unstructured mesh generation, not very long)

伪随机序列（N=4的M序列）的C语言编程实现，可以应用于相关分析法和最小二乘辨识的输入信号。(Pseudo-random sequence (N = 4 M-sequence) of the C programming language, can be used in correlation analysis and least squares identification of the input signal.)

说明：  基2基4基8以及分裂基的fft算法，代码效率很高。是难得一见的好代码。应用范围很广。(Radix-2-4-based 8 and split fft-based algorithm, a high code efficiency. Is a rare good code. Application of a very wide scope.)

3．1 线性方程组类设计 3．2 全选主元高斯消去法 3．3 全选主元高斯-约当消去法 3．4 复系数方程组的全选主元高斯消去法 3．5 复系数方程组的全选主元高斯-约当消去法 3．6 求解三对角线方程组的追赶法 3．7 一般带型方程组的求解 3．8 求解对称方程组的分解法 3．9 求解对称正定方程组的平方根法 3．10 求解大型稀疏方程组的全选主元高斯-约当消去法 3．11 求解托伯利兹方程组的列文逊方法 3．12 高斯-赛德尔迭代法 3．13 求解对称正定方程组的共轭梯度法 3．14 求解线性最小二乘问题的豪斯荷尔德变换法 3．15 求解线性最小二乘问题的广义逆法 3．16 病态方程组的求解 (3.1 system of linear equations class designs 3.2 to choose the principal element gaussian elimination 3.3 to elect principal element Gauss- when approximately the elimination 3.4 duplicate coefficient equation sets all choose the principal element gaussian elimination 3.5 duplicate coefficient equation sets to elect principal element Gauss- when approximately the elimination 3.6 solve three diagonal line equation sets to pursue the law 3.7 common belt equation set s solution 3.8 solution symmetrical equation set s resolution 3.9 solution symmetrical Zhengding equation set s square root method 3.10 solution large-scale sparse equation set to elect principal element Gauss- when approximately the elimination 3.11 solutions hold the Belize equation set s row article to abdicate House Holland who method 3.12 Gauss- the Seydell repetitive process 3.13 solution symmetrical Zhengding equation set s conjugate gradient method 3.14 solution linearity is smallest two rides the questionThe German m)

网上看到很多关于矩阵求逆运算的代码，都很杂很乱，我把代码重新真理了一边，可以直接编译运行(See a lot of online matrix inversion code, very complex mess, I put the code back to the side of truth, you can directly compile and run)