This is a professional tool for visualizing the eigenvalue distribution of random matrices. Users can input the matrix dimension, sample size, and complex plane range. The application automatically generates a large number of random matrices, calculates their eigenvalues, and plots a heatmap of the eigenvalue distribution on the complex plane, visually displaying the regions where eigenvalues ​​are concentrated. Images can be exported as PDF reports for archiving and academic exchange. The built-in history function allows users to view, refill, or delete previous analysis data. This tool is suitable for teaching and research in linear algebra, random matrix theory, and complex system modeling.
Key Features:
1. Eigenvalue Heatmap Visualization: Input the matrix dimension and sample size to automatically generate random matrices and plot a heatmap of their eigenvalue distribution on the complex plane, visually displaying the spectral density structure.
2. Customizable Parameter Range: Supports setting the visible range of the complex plane, flexibly controlling the accuracy of the heatmap and the analysis area to adapt to different theoretical models and experimental needs.
3. PDF Export and History Management: One-click export of images and analysis parameters to PDF. The built-in history function supports viewing, refilling, and deleting, facilitating scientific research archiving and teaching demonstrations.