A lib of Matrix operation for C language. (矩阵运算库--C语言) .zip

 Matrix_hub ======================================= 矩阵运算库--C语言 --------------------------------------- A lib for Matrix Operations in C language. (矩阵运算库--C语言) Author: Amoiensis (Xiping.Yu) Email: Amoiensis@outlook.com Data: 2020.02.12~2023.08.21 *************************************************************** 更多资料和信息： https://github.com/Amoiensis/Matrix_hub [[Releases 快速下载]: Matrix_Hub_v1.52.zip](https://github.com/Amoiensis/Matrix_hub/releases/download/v1.52/Matrix_Hub_v1.52.zip) *************************************************************** 具体应用例子： Optimization-Algorithm(最优化算法)：https://github.com/Amoiensis/Optimization-Algorithm *************************************************************** 具体： Folder_--_lib_.lib文件_+_.h文件 Folder_--_code_.c文件_+_.h文件 *************************************************************** [CONTENT](https://github.com/Amoiensis/Matrix_hub) --------------------------------------- #### 操作-函数 | 操作 | Func Name | Operation (detailed) | | :-------------------------------------------: | :--------------: | :----------------------------------------------------------: | | 生成矩阵 | Matrix_gen | Generate a new Matrix. | | 复制矩阵 | Matrix_copy | Copy to a new Matrix. | | 释放内存 | M_free | Free the memory of the Matrix (create). | | 矩阵显示 | M_print | Print, Display. | | 单位矩阵(生成) | M_I | Generate a identity Matrix (create). | | 生成(全)零矩阵 | M_Zeros | Generation All-Zeros-Matrix (create). | | 生成(全)一矩阵 | M_Ones | Generation All-Ones-Matrix (create). | | 生成希尔伯特矩阵 | Hilbert | Generate Hilbert Matrix (create). | | 加减法 | M_add_sub | Addition/ subtraction (create). | | 乘法 | M_mul | Matrix multiplication (create new one, abbr. create). | | 矩阵数乘 | M_numul | Number Multiplication (create). | | 矩阵对应元素乘/除 (哈达玛积) | M_pmuldiv | Hadamard Product : Multiply / Divide every element in the two Matrix-s (create). | | 矩阵对矩阵，对各行进行数乘 | M_numul_m | Matrix Number Multiplication (using matrix transfer) | | 求逆 | M_Inverse | Inverse (create). | | 伪逆 | M_pinv | left and right inverses / pseudo-inverse of Matrix. (create). | | 转置 | M_T | Transpose (create). | | 行列式 | M_det | Determinant. | | 迹 | M_tr | Trace. | | 范数 | M_norm | Norm (1/ 2/ p/ INF/ FRO). | | 矩阵求秩 | M_rank | Rank. | | 矩阵求条件数 | M_cond | Conditon Value of the Matrix. | | 矩阵最大特征值、特征向量 | M_eigen_max | The maximum eigenvalue/ eigen-vector of the Matrix (create). | | 矩阵特征值 | M_eigen_val | The eigenvalues of the Matrix (create). | | 矩阵特征值, 及其对应特征向量(矩阵) | M_eigen | The eigenvalues and eigen-vectors of the Matrix (create). | | 矩阵绝对值 | M_abs | Absolute the value of elements in the Matrix (create). | | 矩阵行(列)调换 | M_Swap | Swap row or cloumn of the Matrix. | | 矩阵基本变换 | M_E_trans | Matrix elementary transformation. | | 基本变换矩阵 | Etrans_2_Matrix | Transforms the elementary transformation into Matrix (create). | | 基本变换矩阵的逆矩阵 | Etrans_4_Inverse | Inverse Matrix of elementary transformations (create). | | 上三角化 | M_Uptri_ | Upper-Triangulation transformation on the Matrix (create). | | 下三角化 | M_Lowtri_ | Lower-Triangulation transformation on the Matrix (create). | | 对角化 | M_Diatri_ | Diagonalization (create). | | 对角矩阵求逆 | M_Dia_Inv | The inverse of the diagonal Matrix (create). | | 上三角化(求逆用) | M_Uptri_4inv | For inverse, upper-triangulation transformation on the Matrix (create). | | 下三角化(求逆用) | M_Lowtri_4inv | For inverse , lower-triangulation transformation on the Matrix (create). | | 向量householder变换, 返回变换矩阵H | householder | Householder transformation for the Vector, return Transformating-Matrix: H (create). | | 矩阵householder变换 | M_householder | Householder transformation for the Matrix, return Transformated-Matrix: H_Mat (create). | | 矩阵QR分解 | M_QR | QR Decomposition (create). | | 矩阵SVD分解 | M_SVD | SVD Decomposition. (create). | | 切取部分矩阵 | M_Cut | Cut out a part-matrix from the Matrix (create). | | 从矩阵中抽取/采样特定的行/列. | M_Sample | Sample some row/col from Matrix. (create). | | 填充 | M_full | Full the Matrix with data (create). | | (使用矩阵)填充矩阵 | M_matFull | Full the Matrix with another Matrix. | | 矩阵按列求和/向量元素和 | M_sum | Matrix Column-Summation (create). / Vector element Sum (create) . | | 寻找矩阵对应值位置(列优先) | M_find | Find all the positions with a certain value in the Matrix (create). | | 矩阵按列最小行位置 /向量最小元素位置 | M_min | Minimum-value position for each row in the Matrix (create) . / Vector minimum element position (create) . | | 矩阵按列最大行位置 /向量最大元素位置 | M_max