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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Numerical Range of Square Matrices : A Study in Spectral Theory

Jonsson, Erik January 2019 (has links)
In this thesis, we discuss important results for the numerical range of general square matrices. Especially, we examine analytically the numerical range of complex-valued $2 \times 2$ matrices. Also, we investigate and discuss the Gershgorin region of general square matrices. Lastly, we examine numerically the numerical range and Gershgorin regions for different types of square matrices, both contain the spectrum of the matrix, and compare these regions, using the calculation software Maple.
numerical range
Gershgorin region
square matrix
spectrum
Mathematical Analysis
Matematisk analys
Geometry
Geometri
Discrete Mathematics
Diskret matematik

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