ЛБ2 / Звіт
.docxMINISTRY OF EDUCATION AND SCIENCE OF UKRAINE
KHARKIV NATIONAL UNIVERSITY OF RADIO ELECTRONICS
Department of ST
Report
on the implementation of laboratory work No. 2
"matrices & linear system of equations"
in the discipline "Numerical methods"
Complied by student KNT-23-1: Roman, Kravchenko
Kharkiv 2024 |
Accepted: P.E. Sytnikova,
|
Variant 11.
Solve the system of equations using the Gaussian method.
Manual solving:
Programming solving:
2. Solve the system equation with the accuracy 0, 005
a) by the simple iteration method.
b) by Seidel's method.
Calculate the residuals.
Task A:
Manual solving:
Programming solving:
Task B:
Programming solving:
Conclusion: during the work I performed several methods to find roots of system of equations, it includes the Gaussian method, which is a method used by people, Simple iteration method, which is strictly programming to find approximate roots, and Seidel’s method, which is the enhanced version of simple iteration method. I programmed them and found out that these two last methods might be very helpful when facing immense system of equations. Also, as for Seidel’s I learnt from my personal experience that it’s faster and better way to find rots, because it needed only 4 iterations to find more accurate roots than simple iteration method.