Nove metode za računanje spektralne dekompozicije simetrične matrice reda 3 i 4

Kranjčević, Marija (2015) Nove metode za računanje spektralne dekompozicije simetrične matrice reda 3 i 4. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

We present a new method for the spectral decomposition of symmetric matrices of order 3 and 4, which is based on the algorithm aheig (ArrowHEead EIGenvalues/eigenvectors) for the spectral decomposition of arrowhead matrices. In Chapter 1 we give some basic definitions and results. Then we describe and analyze the aheig algorithm (Chapter 2) and combine it with Jacobi rotations (Chapter 3) to get an algorithm for the spectral decomposition of symmetric matrices of order 3 and 4 (Chapter 4). We implement all the presented algorithms in Matlab and show some interesting examples.

Item Type: Thesis (Diploma thesis)
Supervisor: Hari, Vjeran
Date: 2015
Number of Pages: 83
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 20 Oct 2015 11:21
Last Modified: 20 Oct 2015 11:21
URI: http://digre.pmf.unizg.hr/id/eprint/4151

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