4-split2

求解实系数方程组的高斯消去法，约当法，追赶法，分解法，平方根法，大型稀疏方程组法(Solving real coefficient equations of the main Gaussian elimination, about the law to catch up with France, large-scale sparse equations.)

本程序在matlab中运行。 Generate_SystemMatrix是一个计算OSEM，MLEM迭代图像算法中系统矩阵的函数，其用法Generate_SystemMatrix（pixel），为所要重建图像的大小，一般为64,128,256，pixel也大运算越慢。 里面的diedai-test文件是一个简单的MLEM重建算法，其中要加载SystemMatrix矩阵就是Generate_SystemMatrix(128)的结果，注意如果要运行diedai-test，生成的系统矩阵名要保存为SystemMatrix，否则出错。 testsino是一个正弦图实例，就是MLEM算法中的投影矩阵，机算是数据。(This program is run in matlab. The Generate_SystemMatrix is ​ ​ a calculation of the OSEM, a function of the system matrix MLEM iterative image algorithm, its use Generate_SystemMatrix (pixel) to rebuild the image size, usually 64,128,256, pixel also large computing slower. Inside diedai-test file is a simple MLEM reconstruction algorithm, which load SystemMatrix matrix is ​ ​ the result of Generate_SystemMatrix (128), pay attention to if you want to to run diedai-test, the generated system matrix is ​ ​ saved as SystemMatrix, otherwise an error. testsino instance of a sinogram projection matrix MLEM algorithm, machine be regarded as data.)

偏微分方程数值解法的程序包，包括拉普拉斯方程、对流方程和扩散方程的各种解法(Numerical Solution of Partial Differential Equations package, including the Laplace equation, convection-diffusion equation equation and the various solution)

matlab的adi方法求解偏微分方程，精确度较高(ADI method of MATLAB for solving partial differential equations)

一本介绍半解析数值方法的经典之作，对从事数值分析及方法研究和应用的科研人员是不错的参考资料(Introduce a semi-analytical numerical method of classic, engaged in numerical analysis and methods of research and application of scientific research personnel is a good reference)

说明：  用混合同余法生成两组伪随机数，利用投针试验求圆周率。软件：matlab。(Two groups of pseudo-random numbers are generated by the method of mixed congruence, and the circularity is calculated by the test of inserting needle. Software: MATLAB.)

FFT（Fast Fourier Transformation）是离散傅氏变换（DFT）的快速算法 [1] 。即为快速傅氏变换。它是根据离散傅氏变换的奇、偶、虚、实等特性，对离散傅立叶变换的算法进行改进获得的。(FFT (Fast Fourier Transform) is a fast algorithm of discrete Fourier Transform (DFT). That is fast Fourier transform. According to the odd, even, imaginary and real characteristics of discrete Fourier transform, the algorithm of discrete Fourier transform is improved.)

说明：  在科学与工程计算中，经常遇到求解非线性方程组的问题；非线性方程组在收敛速度及收敛性比线性方程组要差，特别对于非凸的非线性方程组，其求解更是困难。下面简要介绍非线性方程组的三种解法——牛顿法、拟牛顿法、同伦算法，分析三种解法的适用性，并附Matlab原程序。(Scientific and engineering computing, often encounter the problem of solving nonlinear equations speed of convergence of nonlinear equations and linear equations worse than convergence, especially for non-convex nonlinear equations, which is even more difficult to solve . The following briefly describes three solutions to nonlinear equations- Newton method, quasi-Newton method, homotopy method, the applicability of the three solutions, along with Matlab original program.)

毕业设计有用，相控阵天线的方向图（切比雪夫加权），基于matlab GUI界面设计。( Graduation useful Phased array antenna pattern (Chebyshev weights), Based on matlab GUI interface design.)

说明：  气泡上浮实验，基于fluent的二维模型(Bubble Floating Experiment)