imrpa

本代码为《最优化理论与方法》书籍重的信赖域算法的代码，本代码中的目标函数和约束等初值可由需要进行改变，来得到所期望的计算(The code for the " optimization theory and method" heavy books trust region algorithm code, the code of the objective function and constraints may need to change the initial value to get the desired calculation)

此程序用于计算圆形截面的弯矩曲率特性和不同极限状态的识别(This program used for the the moment curvature calculation of circular cross-section characteristics and different limit state identification)

based classification (SRC) has been widely used for face recognition (FR). SRC first codes a testing sample as a sparse linear combination of all the training samples, and then classifies the testing sample by evaluating which class leads to the minimum representation error. While the importance of sparsity is much emphasized in SRC and many related works, the use of collaborative representation (CR) in SRC is ignored by most literature.

经典的三维有限元网格生成程序全套源代码及配套的前处理、后处理程序。用C++和Fortran开发。同时配有Manual使用手册。(a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities, source codes are compiled by C++ and Fortran language, with manual.)

用牛顿法，共轭梯度法，最速下降法完成矩阵的计算(Newton conjugate gradient method)

用切比雪夫多项式逼近已知函数 用勒让德多项式逼近已知函数 用帕德形式的有理分式逼近已知函数 用列梅兹算法确定函数的最佳一致逼近多项式 求已知函数的最佳平方逼近多项式 用傅立叶级数逼近已知的连续周期函数 离散周期数据点的傅立叶逼近 用自适应分段线性法逼近已知函数 用自适应样条逼近（第一类）已知函数 离散试验数据点的多项式曲线拟合 离散试验数据点的线性最小二乘拟合 离散试验数据点的正交多项式最小二乘拟合 (By using Chebyshev polynomial approximation of the known functionApproximation of the known functions by Legendre polynomialsApproximation by rational fraction of known function in the form of PadmaTo determine the best uniform function polynomial approximation with the Lemez algorithmThe best known polynomial square for function approximationContinuous periodic function with Fourier series approximation of the knownApproximation of discrete data points in the Fu Liye cycleApproximation of the known function with adaptive piecewise linear methodAdaptive spline approximation ( first class ) known functionPolynomial curve fitting of discrete data pointsLinear least squares fitting of discrete data pointsOrthogonal polynomial least squares fitting of discrete data points)

说明：  实现基2时域频域抽取fft算法，可输出运算后所得复序列的模值序列，并可记录显示计算所用时间(Achieve base 2 fft algorithm frequency domain extraction can be obtained after computing the output sequence of modulus of complex sequences can be used in the calculation time, records show)

素性检测的miller-rabin算法。。。。。(Primality testing)

计算多项流的好程序，简单好用，计算量小。可以较好的模拟二维的两项变化情况(Calculating a number of streams of the program, easy to use, small amount of calculation. Can better simulate the two-dimensional variation)

说明：  ADAM （Adaptive Moment Estimation）是另外一种自适应学习率算法，它结合动量梯度 下降法，在不同参数方向上采用不同学习率，保留前几次迭代的梯度，能够很好 的适应于稀疏数据。(ADAM (Adaptive Moment Estimation) is another adaptive learning rate algorithm, which combines momentum gradient. The descent method, which uses different learning rates in different parameter directions and retains the gradients of previous iterations, is very good. It is suitable for sparse data.)