📅 2024-11-19 — Session: Comprehensive Gauss-Seidel Method Analysis
🕒 15:50–23:55
🏷️ Labels: Gauss-Seidel, Numerical Methods, Convergence, Accounting, Property Management
📂 Project: Dev
⭐ Priority: MEDIUM
Session Goal
The main goal of this session was to analyze and improve the Gauss-Seidel method for solving linear equations, focusing on convergence issues and implementation errors.
Key Activities
- Implemented a separate accounting system for property management to ensure transparency and financial planning.
- Detailed the structure of co-ownership agreements, including roles, dividend plans, and financial models.
- Conducted a comprehensive analysis of the Gauss-Seidel method, including:
- Calculation of the spectral radius for iteration matrices.
- Evaluation of convergence conditions and identification of implementation errors.
- Execution of the Gauss-Seidel method with detailed explanations and error analysis.
- Improved the method’s implementation in Python, focusing on error checking and iteration consistency.
Achievements
- Developed a guide for implementing separate accounting for property management.
- Created a template for co-ownership agreements.
- Identified and corrected errors in the Gauss-Seidel method implementation, enhancing its accuracy and reliability.
Pending Tasks
- Further exploration of the Gauss-Seidel method’s convergence with different initial vectors.
- Validation of calculations and simplification of the problem for better understanding.