PECEmatlabProgram

多目标粒子群的matlab程序，文中设置了两个目标，f1和f2，采用加权求解的方式(more goals in Matlab PSO procedures, the text set up two goals, f1 and f2. using the weighted solution!)

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.)

对机械中的振动信号进行傅立叶变换，作出频谱图进行分析。(Fourier transform of the vibration signal)

室内无线定位技术，基于两次最小二乘法的matlab仿真程序(Indoor wireless positioning technology, based on the two least-squares method matlab simulation program)

说明：  基于M估计的迭代最小二乘算法，其中估计量有Huber,Andrews,Hampel,Ramsay等。(M is estimated based on the iterative least-squares algorithm, which estimates there are Huber, Andrews, Hampel, Ramsay and so on.)

不可压缩后稳态径向滑动轴承润滑计算方法，等刚度，不考虑负压(Incompressible steady-state radial sliding bearing lubrication calculation method on the stiffness, do not consider the negative pressure)

Orthogonal Polynomials Approximation 数值分析，计算正交基多项式的系数 (Given a function f and a set of m >0 distinct points . You are supposed to write a function to approximate f by an orthogonal polynomial using the exact function values at the given m points with a weight assigned to each point . The total error must be no larger than a given tolerance. Format of function int OPA( double (*f)(double t), int m, double x[], double w[], double c[], double*eps ) where the function pointer double (*f)(double t) defines the function f int m is the number of points double x[] contains points double w[] contains the values of a weight function at the given points x[] double c[] contains the coefficients of the approximation polynomial double*eps is passed into the function as the tolerance for the error, and is supposed to be returned as the value of error. The function OPA is supposed to return the degree of the approximation polynomial. Note: a constant Max_n is defined so that if the total error is still not small enough when n = Ma)

变步长网格，声波方程，有限差分数值模拟程序，二阶(Variable step mesh, acoustic equation, finite difference numerical simulation program, second order)

给出一个求解连续混沌系统的最大Lyapunov指数的程序，经验证有很好的吻和度，并能应用的高维（超混沌）或其他混沌系统。(Solving a continuous chaotic system is given the maximum Lyapunov index procedure, proven good kiss and degrees, and can use the high-dimensional (super-chaotic), or other chaotic systems.)

脂润滑滑块接触滑块的计算方法，给定雷诺方程和膜厚方程，然后用迭代方法计算压力分布和膜厚分布，以及承载能力(Greased slide contact with the calculation method of the slider, a given Reynolds equation and the film thickness of the equation, and pressure distribution and film thickness distribution, as well as carrying capacity is then calculated by using iterative methods)