bifurcation and LE

说明：  虽然现在网上的FFT程序很多，但是有的结果是错误的，比如说，经过一次正反变换后，不能得到原来的数列，所以，本人测试了多个程序，提供几个能用的，给大家，希望大家支持！ (Although many online FFT program, but some results are wrong, for example, through a positive and negative change, you can not get the original series, so I tested several programs to provide a few usable for everyone I hope we can support!)

用追赶法求解三对角方程组。在输入文件中读入矩阵和列向量，程序会在结果文件中返回结果。(Solving Three Diagonal Equations by Catching)

说明：  粒子滤波算法的时间分析程序，matlab实现(Particle filter time analysis program, matlab achieve)

有限元弧长法控制计算的原理，中文英文的都有，并介绍了具体程序的流程图(Finite element calculation of arc-length method control principle, Chinese English have, and describes specific procedures flowchart)

对格朗日、分段线性、三次样条插值方法的运用。(Grange, piecewise linear, cubic spline interpolation method to use.)

说明：  ADAM （Adaptive Moment Estimation）是另外一种自适应学习率算法，它结合动量梯度 下降法，在不同参数方向上采用不同学习率，保留前几次迭代的梯度，能够很好 的适应于稀疏数据。(ADAM (Adaptive Moment Estimation) is another adaptive learning rate algorithm, which combines momentum gradient. The descent method, which uses different learning rates in different parameter directions and retains the gradients of previous iterations, is very good. It is suitable for sparse data.)

用matlab实现的二维两相水驱油数值模拟，可作为数值模拟课的作业。(Using matlab to achieve the two-dimensional two-phase water-flooding numerical simulation, numerical simulation can be used as homework assignment.)

这是数值计算当中最小二乘法的例子，在matlab中实现(This is the numerical calculations of the least squares method, for example to achieve Matlab)

滤波程序，从同事那里要的，大家一起交流学习(BADNELL & BURGESS D.A.M.T.P. CAMBRIDGE C C DIAGONALIZATION OF REAL SYMMETRIC N-BY-N MATRIX Z. C C METHOD: HOUSEHOLDER REDUCTION TO TRI-DIAGONAL FORM AND SHIFTED C QL ALGORITHM TO DETERMINE THE E-VALUES AND E-VECTORS. C C BASED ON MARTIN, REINSCH & WILKINSON: NUM. MATH. 11, 181-95 (1968). C C INPUT REQUIRED. N, IUP AND Z. ONLY LOWER TRIANGLE OF Z NEED BE SUPPLIED. C MATRIX Z OVERWRITTEN BY EIGENVECTORS OF Z. C IUP=1/-1 ASC/DESCENDING SORT, 0 NO SORT. C MXMAT, IS THE ROW DIMENSION OF Z IN THE CALLING ROUTINE. C C OUTPUT. Z AND D, WHERE Z CONSISTS OF COLUMN EIGENVECTORS C AND D CONSISTS OF CORRESPONDING EIGENVALUES. C C NOTE: E IS A WORKING ARRAY. C)

说明：  特征值分解，HouseHolder分解等(matlab Linear Algebra Package)