RLS

基于MATLAB平台的产生随机正交矩阵的函数，非常好(a numerical algorithm for generating a random symplectic orthogonal matrix )

力的非线性表现随工作点在Streibeck曲线上所处的区段不同可以由范德波尔方程描述(Van Der Pol equation)

comfac算法是三线性模型常见的数据检测方法。它首先将三线性数据通过tucker3模型压缩，然后通过最小二乘的方法不断更新数据，直到收敛，得到估计值( The algorithm works by first compressing the data using a Tucker3 models. Subsequently the PARAFAC model is fitted to the compressed array, either initialized with DTLD (~ESPRIT) or with PARAFAC-ALS. The solution is de-compressed to the original space, and a few safe-guard PARAFAC-ALS steps are performed. Further optimization of this algorithm is possible, e.g. if the data are very large, if the profiles are very correlated or if the noise is huge. This 、 has not been pursued here, in order to have a generally applicable algorithm)

4各向异性双树复小波包变换 石霏 应用科学学报 2008-07-15 期刊(4 anisotropic dual tree complex wavelet packet transform Shi Fei applied science journal proceedings of the 2008-07-15)

通常优化变量需要在制定的范围内选择，John D Errico开发了带有边界约束的最优化问题求解程序，并进行了改进(Optimization variables are usually required to develop a range of options, John D' Errico developed with the boundary constraints of optimization problem solving process, and an improved)

说明：  这些说明包括了该课程的数值部分上半年AMAT3122数学 微分方程的方法。他们不是一个完整的笔记。(MATLAB (MATrix LABoratory) is a very powerful package designed for numerical analysis, matrix calculations and visualisation (as well as many other applications). One of MATLABs strengths is that it can be used as a simple ‘calculator’ and also is easy to program more complicated tasks. Many mathematical algorithms are already built in to MATLAB and many more are easily added)

3元简单函数优化的遗传算法程序,利用遗传算法求三元函数的最优值，包括主程序、初始化、交叉、变异、选择等子程序，方便自己修改，并且包含图像分析。(A simple function of the genetic algorithm optimization procedures, the optimal value of ternary functions using genetic algorithms, including the subroutine of the main program, initialization, crossover and mutation, selection, convenient modify, and includes image analysis.)

相控阵天线测试数据的模拟产生与稀疏分解，可用于故障诊断(Phased array antenna simulation test data generation and sparse decomposition can be used for fault diagnosis)

基于EM算法实现的高斯混合模型数据分类，可以很优秀的对各种数据进行聚类分析，R语言实现(EM algorithm based on Gaussian mixture model data classification, can be very good for a variety of data clustering analysis, R language)

关于一个轴承故障分解程序，里面包含小波去噪，重构等，还有EMD模态分解，并且还有各种功率谱仿真图(About a bearing failure decomposition process, which contains the wavelet de-noising, reconstruction, etc., as well as mode decomposition EMD, and there are a variety of power spectrum simulation map)