AUTOMATING THE SOLUTION OF SYSTEMS OF LINEAR EQUATIONS AND ASSESSING COMPUTATIONAL EFFICIENCY

Authors

  • Kamalova Nilufar Ilhomovna Associate Professor, Department of “Applied Mathematics and Programming Technologies”, Bukhara State University; Doctor of Philosophy (PhD) in Pedagogical Sciences
  • Azimova Gulasal Shavqiddin qizi Student, Department of “Applied Mathematics and Programming Technologies”, Bukhara State University

Keywords:

System of linear equations, matrix, automation, computational efficiency, Python, Tkinter, NumPy, LU decomposition, numerical methods

Abstract

The article considers the problems of automating the process of solving systems of linear equations and assessing computational efficiency. Based on the Python programming language and the Tkinter and NumPy libraries, a software tool has been developed that allows the user to enter matrix coefficients through a graphical interface, solve the system, and view the execution time in milliseconds. How the computation time and the accuracy of the solution change as the system size n increases was analyzed experimentally on random systems from n=3 to n=2000; the time was measured using the time. perf_counter() function. The program can be used in the educational process as a tool for checking examples that students have solved independently.

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Published

2026-10-17

Issue

Vol. 4 No. 10 (2026): WOD

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

AUTOMATING THE SOLUTION OF SYSTEMS OF LINEAR EQUATIONS AND ASSESSING COMPUTATIONAL EFFICIENCY. (2026). Web of Discoveries: Journal of Analysis and Inventions, 4(10), 1-10. https://webofjournals.com/index.php/3/article/view/6780