SerieAritmetica

最优潮流计算程序（使用电力系统专业，属于非线性规划问题）．(optimal power flow calculation procedure (using power systems professional, is Nonlinear Programming).)

Orthogonal Polynomials Approximation 数值分析，计算正交基多项式的系数 (Given a function f and a set of m >0 distinct points . You are supposed to write a function to approximate f by an orthogonal polynomial using the exact function values at the given m points with a weight assigned to each point . The total error must be no larger than a given tolerance. Format of function int OPA( double (*f)(double t), int m, double x[], double w[], double c[], double*eps ) where the function pointer double (*f)(double t) defines the function f int m is the number of points double x[] contains points double w[] contains the values of a weight function at the given points x[] double c[] contains the coefficients of the approximation polynomial double*eps is passed into the function as the tolerance for the error, and is supposed to be returned as the value of error. The function OPA is supposed to return the degree of the approximation polynomial. Note: a constant Max_n is defined so that if the total error is still not small enough when n = Ma)

其基本思想是取B样条函数 为及基函数，在[a,b]中均匀划分区间，xi=a+ih,h=(b-a)/n,由于三次样条函数空间是n+3维的，所以把分点扩充到x-1,xn+1,则任意三次样条函数可用 线性组合来表示：(The basic idea is to take B-spline function and basis functions in [a, b] in the evenly divided intervals, xi = a+ ih, h = (ba)/n, because the cubic spline function is n+3 dimensional space , so the expansion points to the x-1, xn+1, then any cubic spline function can be expressed as a linear combination:)

可以实现十几位整数的四则运算，效率也较好(Four operations can be more than a dozen integer,and the efficiency is better)

工程领域，PR方程代码.用于计算混合工质性质。(PR equation code)

这个程序分别用二分法，Newton法，弦截法，Newton下山法等算法求解非线性方程(this procedure were used dichotomy, Newton, String interception, Newton downhill law for solving nonlinear equations)

F-K域偏移法和相移法偏移程序（C语言）(FK domain migration method and the phase- shift method migration program (C language))

用C++编的一些最优化作业中的程序,有Newton法,DFP法,共轭梯度法,单纯形法,内点法,外点法,内外点法,都能使用,我已经全部调试过了(C compile some of the most optimized operating procedures, Newton, DFP, conjugate gradient method, the simplex method, interior point method, the points outside the law, outside point method can use, I have all over Debugging)

文件中包括了最优化中的最小费最大流程序以及例子和程序(File included in the most optimal maximum flow procedures and examples of trees and procedures)

清华大学《数值分析A》－第02章.插值 Lagrange Newton Hermite 三次样条(Tsinghua University, )