线性规划的对偶问题与灵敏度分析. 线性规划的对偶问题与灵敏度分析.

在matlab上面编写的，基于原对偶内点法的（跟踪中心路径参数内点法）最优潮流，具体编程思想请参见王锡凡《现代电力系统分析》

求解非线性规划的原始对偶内点法，帮助各位求解非线性规划问题。

自行编写的基于对偶四元数航天器姿轨耦合动力学模型，参考《航天器姿轨一体化动力学与控制技术_孙俊_刘付成_王剑颖等》一书中，第三章“单航天器姿轨一体化动力学模型”，采用simulink的S函数编写。本人只完成了动力学的建模，外力与外力矩只有重力与梯度力矩，有兴趣的可以自己添加控制力与控制力矩，欢迎交流与批评指正。对偶四元数初学有点难懂，可以理解为一个刚体由一个八维向量表示，前四个是传统四元数（q0,q1,q2,q3）、后四个平移向量的位置四元数（0，rx,ry,rz）与姿态四元数（q0,q1,q2,q3）的积，这样一个向量既有位置信息又有姿态信息。

复现基于对偶四元数的单航天器姿轨一体化运动学与动力学模型，参考文献。运行simulink前请先运行initial.m文件。编程简单易懂，熟悉M-Function即可轻松理解。

分别采用障碍法和原对偶内点法对含有等式和不等式约束的凸优化问题用matlab进行求解

数字信号处理的课程设计 关于信号的谱分析 主要用到DFT与FFT的实现与比较 以及窗函数的应用

最经典的单纯性算法matlab实现，供相关研究者学习

this packet codes are about primal dual algorithms for image processing such as image denoising based on ROF model and TV-L1 and Huber ROF, image restoration like deconvolution, image zooming, image inpainting,optical flow for motion estimation and Mumford-Shah multi-label image segmentation problem. these codes are base on the following paper,"a first-order primal-dual algorithm for convex problems with application to imaging", and are organized corresponding to the structure of this paper, therefore these codes are what so-called sample codes of this paper, so they are really convenient to learn and to use. to use them, what you need to do is just to open a folder, and run the corresponding .m file, then you will collect the processing result. to understand these codes,you are recommended to read the paper first, in this case, you can get a better comprehension about these codes. and before you use them, you are also recommended first to read the instructions included in the zip packet,because in all the codes,the primal variables and dual variables are both vectorized which are different from the general situations. if you have any questions about these codes,don't hesitate to contact me via email: Pock, Thomas:pock@icg.tugraz.at Chen, Yunijn:cheny@icg.tugraz.at enjoy them,and good luck with you.

从拉格朗日 条件到KKT条件，详细介绍了非线性规划的问题和解决方案