Author
Last Commit
Jan. 15, 2018
Created
Feb. 17, 2016

# Numerical Analysis Examples

## Note: You can implement in any language for contribute.

### 2 Polynomials and Roots

#### 2.1 Polynomial Roots

• Synthetic Division and Newton Method
• Muller Method

### 3 Linear Equations

#### 3.1 Numerical Solutions of Equations

• Cramer Method
• Gaussian Elimination Method [ C# ]
• Gaussian-Jordan Method
• LU Decomposition Method [ C# ]

### 4 Matrix Operations

#### 4.1 Basic Matrix Operations

• Addition, Subtraction, Multiplication, Transpose, Determinant [ C# ] [ Go ]

#### 4.2 Determinant

• Determinant with Gaussian-Jordan Method
• Determinant with LU Decomposition Method

#### 4.3 Matrix Inversion

• Inverse Matrix with Cramer's Rule [ C# ]
• Inverse Matrix with Gaussian Elimination Method [ C# ]
• Inverse Matrix with LU Decomposition

### 5 Eigenvalues and Eigenvectors

#### 5.1 Finding Eigenvalues Methods

• Jacobian Transformation
• The QR and QL Algorithms

• Example

• Example

### 8 Fourier Series and Fourier Transform

#### 8.1 Fourier Series

• Fourier Series Algorithm

#### 8.2 Fourier Transform

• Fourier Sine and Cosine Transformation

#### 8.3 Numerical Fourier Transform

• Discrete Fourier Transform
• Fast Fourier Transform

• Example

• Example

### 10 Derivative and Integral

#### 10.1 Derivative

• Derivative of Sequences
• Point Derivative of Sequences

#### 10.2 Numerical Integral

• Integration of Series
• Integration of Functions

### 11 Data Processing

#### 11.1 Data Arrays and Digital Filters

• Average Filter
• Median Filter
• Fourier Transform and Filter Windows
• Savitzky Golay Filter

#### 11.2 Spectral Decomposition

• Simulation and Curve Fitting
• Spectral Decomposition with Derivative
• Fourier Transform and Spectral Decomposition

### Contributing

1. Fork it ( https://github.com/ergenekonyigit/Numerical-Analysis-Examples/fork )
2. Create your feature branch (git checkout -b my-new-feature)