Numeričko rješavanje linearnih matričnih jednadžbi

Šestan, Jasmina (2016) Numeričko rješavanje linearnih matričnih jednadžbi. Diploma thesis, Faculty of Science > Department of Mathematics.

[img]
Preview
PDF
Language: Croatian

Download (330kB) | Preview

Abstract

In this work we reviewed main computational methods for solving linear matrix equations, particularly Sylvester and Lyapunov equations. We explained their role in applied mathematics, especially in stability analysis of linear dynamic systems. We described Bartels–Stewart algorithm which is frequently used for solving matrix equations of small dimensions. For large-scale matrix equations, we considered special structure of matrices which are often encountered in applications and we described iterative methods for finding solution: ADI method and projection (Krylov) method. We implemented listed algorithms using Python.

Item Type: Thesis (Diploma thesis)
Supervisor: Bujanović, Zvonimir
Date: 2016
Number of Pages: 42
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 19 May 2016 14:06
Last Modified: 19 May 2016 14:06
URI: http://digre.pmf.unizg.hr/id/eprint/4845

Actions (login required)

View Item View Item