hw6

最小二乘法拟合形如f(x)=(a+bx)/(1+cx)的函数（9.2.2(1))，并解决人口预测问题(9.2.2(2))(Least squares fit of the form f (x) = (a+bx)/(1+cx) function (9.2.2 (1)), and to solve the population prediction problem (9.2.2 (2)))

是用MATLABA编写的遗传运算发的一个小程序 挺好用的 大家(MATLABA is prepared by the genetic operator issued a small procedure very well, we try to use)

采用凸优化的理论解决优化问题，使用python语言，采用pip安装即可(The convex optimization theory is used to solve the optimization problem. Python language is used and pip is installed)

牛顿迭代法求解非线性代数方程组的主要思想是将非线性函数线性化(Newton iteration method for solving nonlinear algebraic equations nonlinear function of the main idea is to linear)

含约束的优化问题求解案例，算法简单，求解很方便实用(Constrained optimization problem solving case, the algorithm is simple, easy to solve, practical)

说明：  非线性振动.pdf 刘延柱编写 恢复力与位移不成正比或阻尼力不与速度一次方成正比的系统的振动。尽管线性振动理论早已相当完善,在工程上也已取得广泛和卓有成效的应用，但在实际问题中，总有一些用线性理论无法解释的现象。一般说，线性模型只适用于小运动范围，起出这一范围，按线性问题处理就不仅在量上会引起较大误差，而且有时还会出现质上的差异，这就促使人们研究非线性振动。(Nonlinear Vibration. Compilation of PDF Liu Yanzhu)

多项式的链表存储表示以及实现多项式的加法(Said polynomial storage list and the realization of polynomial addition)

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)

最小二乘估值的SVD分解计算方法，本程序可将最小二乘估值问题转化为超定方程组的问题处理，且可用奇异值分解的方法计算最小二乘问题。(Least Squares Estimates of the SVD decomposition method, the valuation process can be transformed into squares overdetermined equations deal with the problem, and can be calculated singular value decomposition least squares problem.)

采用离散的数值方法，通过坐标转换并生成贴体网格系统，计算轴对称喷管流场(Discrete numerical methods, through coordinate transformation and generate body-fitted grid system, calculating axisymmetric nozzle flow)