# Julia 环境中的算法

**Repository Path**: blackpercy/Algebra_Algo

## Basic Information

- **Project Name**: Julia 环境中的算法
- **Description**: 代数学领域中所涉及到的部分算法
- **Primary Language**: Julia
- **License**: CC0-1.0
- **Default Branch**: master
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 1
- **Forks**: 1
- **Created**: 2022-09-05
- **Last Updated**: 2024-12-01

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

![输入图片说明](%E6%97%A0%E6%A0%87%E9%A2%98.png)

这一课程为线性代数学中涉及到的部分算法


课程链接 [https://www.bilibili.com/video/BV1We4y1h7i4/?spm_id_from=333.788](https://www.bilibili.com/video/BV1We4y1h7i4/?spm_id_from=333.788)


1. 高斯消元法求解线性方程组

    [原始高斯消元法](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA001%20%E9%AB%98%E6%96%AF%E6%B6%88%E5%85%83%E6%B3%95.ipynb)

    [列主元高斯消元法](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA002%20%E5%88%97%E4%B8%BB%E5%85%83%E9%AB%98%E6%96%AF%E6%B6%88%E5%85%83%E6%B3%95.ipynb)

    [行主元高斯消元法](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA003%20%E8%A1%8C%E4%B8%BB%E5%85%83%E9%AB%98%E6%96%AF%E6%B6%88%E5%85%83%E6%B3%95.ipynb)


    [全主元高斯消元法](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA004%20%E5%85%A8%E4%B8%BB%E5%85%83%E9%AB%98%E6%96%AF%E6%B6%88%E5%85%83%E6%B3%95.ipynb)


2. 高斯消元法求解矩阵的逆

    [行主元高斯消元法](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA005%20%E5%88%97%E4%B8%BB%E5%85%83%E9%AB%98%E6%96%AF%E6%B6%88%E5%85%83%E6%B3%95%20%E7%9F%A9%E9%98%B5%E6%B1%82%E9%80%86.ipynb)

    [全主元高斯消元法](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA006%20%E5%85%A8%E4%B8%BB%E5%85%83%E9%AB%98%E6%96%AF%E6%B6%88%E5%85%83%E6%B3%95%20%E7%9F%A9%E9%98%B5%E6%B1%82%E9%80%86.ipynb)



3. 行列式的计算

    [消元法求行列式](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA007%20%20LU%20%E5%88%86%E8%A7%A3%E7%9A%84%E5%BA%94%E7%94%A8.ipynb)

    [定义法求行列式](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA012%20%E8%A1%8C%E5%88%97%E5%BC%8F%E7%9A%84%E5%AE%9A%E4%B9%89%E6%B3%95.ipynb)

4. [单纯形法求解线性规划](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA008%20%E5%8D%95%E7%BA%AF%E5%BD%A2%E6%B3%95.ipynb)


5. [合同变换与标准型](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA009%20%E5%90%88%E5%90%8C%E5%8F%98%E6%8D%A2%E4%B8%8E%E6%A0%87%E5%87%86%E5%9E%8B.ipynb)


6. [Gram-Schmit 正交化 与 QR 分解](https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA010%20%20GramSchmit%20%E6%AD%A3%E4%BA%A4%E5%8C%96.ipynb)


7. [一元多项式的基本运算]( https://gitee.com/blackpercy/Algebra_Algo/blob/master/ExactAlgorthmsLinearAlgebra/LA011%20%E5%8D%95%E5%8F%98%E9%87%8F%E5%A4%9A%E9%A1%B9%E5%BC%8F%E7%9A%84%E5%9F%BA%E6%9C%AC%E8%BF%90%E7%AE%97.ipynb)