nscat-3.tar

北京航空航天大学硕士研究生数值分析课的第一次大作业，用幂法反幂法求取矩阵的最大最小特征值(Minimum and maximum eigenvalue of the first graduate of Beijing University of Aeronautics and Astronautics numerical analysis class job, using the power method matrix inverse power law to strike)

数值分析，即计算方法课程中的龙贝格算法源代码。(Numerical analysis, calculation of the Romberg algorithm source code in the methods courses.)

假设有一个能装入总体积为T的背包和n件体积分别为w1 , w2 , … , wn 的物品，能否从n件物品中挑选若干件恰好装满背包，即使w1 +w2 + … + wn=T，要求找出所有满足上述条件的解。例如：当T=10，各件物品的体积{1，8，4，3，5，2}时，可找到下列4组解：（1，4，3，2），（1，4，5），（8，2），（3，5，2）。 [需求分析](Suppose there are a load of the backpack of the total volume of T and n volumes were w1, w2, ... wn items, whether selected from n items a number of exactly filled backpack, even if w1+w2+ ...+ wn = T, find out the solution of all the above conditions are met. For example: when T = 10, the volume of items {1,8,4,3,5,2}, can be found in the following four solutions: (1,4,3,2), (1,4,5 ), (8,2), (3,5,2). [Needs Analysis])

数学中的通径分析问题，主要用于数学实验方面，计算数学中的数据分析(Path analysis of mathematical problems in)

一维热传导方程的求解，包括显式和隐式，及其对比(One-dimensional heat conduction equations, including explicit and implicit, and the contrast)

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.)

frotran输入矩阵自编小程序，可以生成任意大小矩阵，并写入制定文件(frotran input matrix composing small program that can generate any size matrix, developed and written documents)

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)

此程序用最小二乘法拟合椭圆图像，模拟地球的形状(This program fit ellipse images using the least squares method to simulate the Earth' s shape)

burgers方程求解，采用fortran编写，有详细的说明，效果非常好(burgers equations, using fortran prepared a detailed description of the effect is very good)