pi_phaseshift_grating

说明：  利用matlab软件进行数值编程，优化计算。(Matlab software is used for numerical programming and optimization calculation.)

一种利用梯度下降的加速求解低秩矩阵和稀疏矩阵的方法(accelerated proximal gradient method to find low-rank matrix and sparse matrix)

程序计算在声速梯度下水中声线的传播并计算声线的长度(Program calculates the velocity gradient in the water line of acoustic sound propagation and calculate the length of the line)

converts a binary undirected adjacency graph into a hypergraph. The output is a non symmetric matrix where the columns are the vertices and the rows are the hyper edges.

通信領域於天線上常運用的波束集成，以matlab寫成。能模擬不同距離造成的波束形狀之不同。也加入部份Dolph-Chebyshev最佳化方法。(A traditional beamformer that can simulate differnt distance from the origin, and some implementation using Dolph-Chebyshev amplitude distribution.)

用C语言编写的1D-FDTD程序，含一阶mur边界，附结果matlab画图程序(Using C language 1D-FDTD procedures, including an order Mur boundary, with results of MATLAB drawing program)

abaqus粘弹性人工边界，手动添加比较简单的模型(learning abaqus)

ABAQUS 具有强大的非线性求解能力和便捷的子程序接口及二次开发功能(The commercial FEM software ABAQUS has both powerful capacity for numerically solving varied large-scale nonlinear problems in engineering practice and user-friendly possibility for extending material libraries to consider the given constitutive model of a specific material.)

使用lasso方法，对特征矩阵进行优化特征选择（向量选择），使其达到最优。(Use lasso method, optimize the characteristic matrix feature selection (vector selection), to the optimal.)

实现了粒子滤波算法代码，供大家参考学习。(Particle filter algorithm to achieve the code for your reference study.)