total-least-square

说明：  应用龙格库塔算法求解动力学微分方程，求解时域数据(Solving dynamic differential equation with Runge Kutta algorithm)

洛斯阿拉莫斯实验室开发的显示动力有限元程序dyna3d，可处理碰撞，侵彻和接触等问题，有丰富的材料模型和状态方程，以及可扩展的二次开发能力。(source code 1 file)

共轭梯度法（Conjugate Gradient）是介于最速下降法与牛顿法之间的一个方法，它仅需利用一阶导数信息，但克服了最速下降法收敛慢的缺点，又避免了牛顿法需要存储和计算Hesse矩阵并求逆的缺点，共轭梯度法不仅是解决大型线性方程组最有用的方法之一，也是解大型非线性最优化最有效的算法之一。 在各种优化算法中，共轭梯度法是非常重要的一种。其优点是所需存储量小，具有步收敛性，稳定性高，而且不需要任何外来参数。(Conjugate gradient method (Conjugate Gradient) is between the steepest descent method between the method and Newton' s method, it takes only a first derivative information, but to overcome the steepest descent method convergence slow shortcomings, but also to avoid the Newton method needs to be stored Hesse and disadvantages of computing inverse matrix and the conjugate gradient method is not only one of the most useful methods to solve large linear equations, solution of large-scale nonlinear optimization is one of the most effective algorithm. In various optimization algorithm, conjugate gradient method is a very important one. The advantage is that a small amount of memory required, with step convergence, high stability, and does not require any external parameters.)

由Music算法估计线阵波达方向，搜索频谱波峰。(Estimation of linear array DOA by Music algorithm, searching spectral peak.)

多目标遗传算法求解多目标优化问题的实际例子，运用matlab编写(Multi-objective Genetic Algorithm for multi-objective optimization problem actual examples, the use of Matlab prepared)

BP神经网络的整个训练过程,使用高阶累积量对MPSK信号进行调制识别，主同步信号PSS在时域上的相关仿真。( The entire training process BP neural network, Using high-order cumulants of MPSK signal modulation recognition, PSS primary synchronization signal in the time domain simulation related.)

实测电压和电流的有效值及各次谐波的提取方法(The effective value of measured voltage and current and the method of extracting harmonics.)

对于给定的一组轨迹点，用优化方法实现铰链四杆机构轨迹复演。优化方法为共轭梯度法。(For a set of track points,we use a optimization method to optimize the track of Hinge four-bar mechanism. The optimization method is conjugate gradient.)

用于研究粒子在晶体材料内输运性质，计算扩散系数的动力学蒙特卡洛程序( Kinetic Monte Carlo program is used to study particle transport properties in crystalline materials, the calculation of the diffusion coefficient Kinetic Monte Carlo program is used to study particle transport properties in crystalline materials, the calculation of the diffusion coefficient)

多重网格方法求解矩形边界条件下泊松方程，偏微分方程数值求解(use multigrid method to solve poisson equation in rectangular domain)