C++ / C# Matrix Processing Library

Brief Introduction

this is a matrix processing library for C++ or C#, which can be convenient for matrix operations.
- C++ version is at Matrix/TCL_Matrix.h on master branch
- C# version is at CSharp_Matrix on master branch
GUI program for matrix calculation has been released. You are welcome to download and use the latest version. Please see detailed instructions at MatrixCal/README.md
C++ and C# libraries implement almost the same algorithms, including
- Basic Calculation
  - Addtion
  - Multiplication
  - Transpose
- Matrix common operations:
  - Get the inverse of a matrix
  - Matrix Gauss-Jordan elimination
  - Matrix LU decomposition
  - Find the rank of the matrix
  - Get determinant
  - Matrix fast power
  - Solve linear equations
  - Find the null space of the matrix
  - Get trace of a matrix
  - Matrix QR decomposition
- Common numerical calculation
  - Calculate the matrix norm
  - Calculate the spectral radius of the matrix
  - Find all singular values of any matrix (excluding multiple roots)
  - Find all (complex) eigenvalues of any matrix (including multiple roots)
- Matrix advanced operations
  - Obtain the coefficients of the square matrix characteristic polynomial
  - Matrix SVD decomposition
  - Get the Moore-Penrose generalized inverse of any matrix

As for solving the eigenvalue and singular values of the matrix, if the problem is highly sensitive, the calculated eigenvalue/singular values may be biased
Any question, bug report or improvement suggestion is welcome through opening up a new issue

这是一个 C++ 和 C# 的矩阵处理库，可以方便的对矩阵进行运算
- C++处理库为master分支下的Matrix/TCL_Matrix.h
- C#处理库位于master分支下的CSharp_Matrix
矩阵计算的GUI程序已发布，欢迎大家下载使用最新Release版本进行使用。详细说明请见MatrixCal/README.md
C++ 与 C# 库实现的算法基本相同，包括
- 基本运算：
  - 矩阵加法
  - 矩阵乘法
  - 矩阵转置
- 矩阵常用运算：
  - 矩阵求逆
  - 矩阵Gauss-Jordan消元
  - 矩阵LU分解
  - 求矩阵秩
  - 求行列式
  - 矩阵快速幂
  - 求解线性方程组
  - 求矩阵零空间
  - 矩阵的迹
  - 矩阵QR分解
- 常用数值计算
  - 求矩阵范数
  - 求矩阵谱半径
  - 求任意矩阵的所有奇异值（不含重根）
  - 求任意矩阵的（复）特征值（含重根）
- 矩阵高级操作
  - 获得方阵特征多项式的系数
  - 矩阵SVD分解
  - 求任意矩阵的Moore-Penrose广义逆
- 其他操作
  - 从文件中读入矩阵
  - 向文件中写入矩阵