lagrange

关于复数矩阵求导的一本经典书籍“Complex-valued_matrix_derivatives”的电子版(About the electronic version of the complex matrix derivation of a classic book " Complex-valued_matrix_derivatives" )

偏微分方程的数值解法，简单的离散 变分以及求解过程(Numerical solution of partial differential equations, the simple and the solution process of discrete variational)

对一维光谱实现偏最小二乘回归进行UVE变量选择(UVE variable selection on the spectrum)

最速下降法就是梯度下降法,可以用于求解最小二乘问题(线性和非线性都可以)。可以说是求解机器算法的最古老、最经典的模型，另一种常用的方法是最小二乘法。(The steepest descent method is the gradient descent method, which can be used to solve the least squares problem (both linear and non-linear). It can be said that it is the oldest and most classical model for solving machine algorithm. Another commonly used method is the least square method.)

三次样条插值的C语言算法,但是总是数据溢出(Cubic spline interpolation C language algorithm, but always data overflow)

abaqus中扩展有限元（UEL）计算疲劳断裂(extended finite element method (uel)for fracture problems within the finite element software ABAQUS)

隐式及显示技术模拟复合材料结构的固化，UMAT程序(Cure Simulation of Composite Structures Applying Implicit and Explicit FE Techniques)

一个利用共轭梯度法的正则化实例： 通过输入矩阵的维数，利用共轭梯度法的原理，进行正则化计算；Morozov偏差原理(A conjugate gradient method using the regularization Example: Enter the dimensions of the matrix, using the principle of conjugate gradient method for regularization calculation)

ABAQUS纤维增强复合材料损伤失效UMAT(ABAQUS UMAT subroutine for fiber-reinforced composite failure analysis)

使用matlab实现智能预测控制算法，分数阶傅里叶变换计算方面,实现了图像的加水印，去噪，加噪声等功能。( Use matlab intelligent predictive control algorithm, Fractional Fourier transform computing, Realize image watermarking, de-noising, plus noise and other functions.)