Numerical-Linear-Algebra

假临近点法计算最佳嵌入维数的程序，可以根据自己需要适当修改调整(False approaching point method to calculate the optimal embedding dimension of the program can be adjusted according to their needs with appropriate modifications)

说明：  复合材料层内基于断裂韧性退化的VUMAT子程序(VUMAT subroutine based on fracture toughness degradation in composite laminates)

二维弹性波正演程序，是在win7下Fortran编译器实习的(Dimensional elastic wave forward procedure, is under win7 Fortran Compiler internship)

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.)

伽辽金有限元解微分方程源代码，带注释，初学者学习使用非常好(Galerkin finit element method )

稀疏矩阵的DIA/ELLPACK/COO/CSR/HYB表示形式，以及各表示形式下的稀疏矩阵乘法（稀疏大矩阵*矢量）的CUDA实现。对于矩阵中每一行稀疏元素个数较统一的情况，ELLPACK表示最佳，其次是HYB（ELL+COO）。 CUDA™ 是一种由NVIDIA推出的通用并行计算架构，该架构使GPU能够解决复杂的计算问题。 它包含了CUDA指令集架构（ISA）以及GPU内部的并行计算引擎。 开发人员现在可以使用C语言来为CUDA™ 架构编写程序(Sparse matrix DIA/ELLPACK/COO/CSR/HYB representation, as well as the representation of the sparse matrix multiplication (large sparse matrix* vector)' s CUDA implementation. For each row of the sparse matrix representing the number of elements the case of unification, ELLPACK that the best, followed by HYB (ELL+COO). NVIDIA CUDA ™ is introduced by a general purpose parallel computing architecture that makes the GPU to solve complex computational problems. It contains the CUDA Instruction Set Architecture (ISA) and the GPU parallel computing engine. Developers can now use the C language to write programs for the CUDA ™ architecture)

本程序是采用有限体积法求解二维对流扩散方程的经典程序。程序里包含各种离散方法，划分网格方法等。适合CFD初学者阅读。(The program is two-dimensional finite volume method for solving convection-diffusion equation of the classic program. Program includes a variety of discrete methods, meshing methods. CFD for beginners)

abaqus fortran 纤维拉伸 子程序(abaqus fortran fiber stress subumat)

fortran 写的摩尔库伦本构模型，供写材料umat的人参考(fortran write the molar Coulomb constitutive model for people to write reference materials umat)

针对于对一般矩阵的求逆，或对复杂系统的求逆(Aimed at the general matrix inverse or inverse complex systems)