Publication Date: 2023/07/20
Abstract: This paper aim to enhance computational precision in solving linear systems by incorporating advanced numerical techniques into a user-friendly Graphical User Interface (GUI). The implemented methods include LU Doolittle Decomposition, LU Crout Decomposition, Gauss-Seidel, Jacobi Iteration, and Over relaxation. A comprehensive literature review provides insights into existing approaches and GUI frameworks for linear system solvers. The methodology focuses on GUI design considerations and utilizes MATLAB 2022a for implementation. Through examples and evaluations, the performance of the methods was analyzed, although exact solutions are not found within the provided examples. The research highlights the strengths and limitations of each method, emphasizing the need for further improvements and adjustments. The findings contribute to GUI-based linear system solvers and suggest future work in convergence improvement, error analysis, GUI enhancements, and extension to nonlinear systems, performance comparison, and user feedback.
Keywords: Precision, Computation, Linear, System, GUI
DOI: https://doi.org/10.5281/zenodo.8167999
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23JUL026.pdf
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