Authors :
Umar Iliyasu; Mukhtar Abubakar; Mary Oyenike Olanrewaju
Volume/Issue :
Volume 8 - 2023, Issue 7 - July
Google Scholar :
https://bit.ly/3TmGbDi
Scribd :
https://tinyurl.com/52styp39
DOI :
https://doi.org/10.5281/zenodo.8167999
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
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
