https://github.com/KuangjuX-Archived/Numerical-Analysis

The program homework of Numerical Analysis course
https://github.com/KuangjuX-Archived/Numerical-Analysis

Last synced: 2 months ago
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The program homework of Numerical Analysis course

• Host: GitHub
• URL: https://github.com/KuangjuX-Archived/Numerical-Analysis
• Owner: KuangjuX-Archived
• Archived: true
• Created: 2021-11-23T04:34:50.000Z (about 3 years ago)
• Default Branch: main
• Last Pushed: 2022-01-01T03:52:20.000Z (about 3 years ago)
• Last Synced: 2024-08-11T09:01:04.488Z (5 months ago)
• Language: Python
• Homepage:
• Size: 2.46 MB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Numerical-Analysis

The program homework of Numerical Analysis course

## Preview

### 插值法

- [范德蒙德多项式插值](./interp/vandermonde.py)

- [拉格朗日插值法](./interp/lagrange.py)

- [牛顿插值法](./interp/newton.py)

- [分段线性插值](./interp/piece_linear.py)

- [分段三次 Hermite 插值](./interp/hermite.py)  

### 函数逼近

- [最佳平方逼近](./approx/best_square.py)

- [最小二乘法拟合](./approx/least_squares.py)

### 数值积分

- [复合梯形公式](./integration/__init__.py)

- [龙贝格算法](./integration/__init__.py)

### 解线性方程组的直接解法

- [列主元的高斯消元法](./matrix/__init__.py)

- [LU 分解法](./matrix/__init__.py)

### 解线性方程组的迭代解法

- [高斯-塞德尔迭代法](./matrix/__init__.py#L97)

- [SOR 迭代法](./matrix/__init__.py#120)

### 解非线性方程(组)的迭代解法

- [不动点迭代法](./nonlinear/__init__.py#L30)

- [斯蒂芬森迭代法](./nonlinear/__init__.py#L45)

- [牛顿迭代法](./nonlinear/__init__.py#L64)

- [多变量的不动点迭代法](./nonlinear/__init__.py#L79)

- [多变量的牛顿迭代法](./nonlinear/__init__.py#L94)

## Usage

```shell

git clone https://github.com/KuangjuX/Numerical-Analysis.git

pip install -r requirements.txt

python example.py

```