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Numerical Range of Square Matrices: A Study in Spectral Theory
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics.
2019 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

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. 

Place, publisher, year, edition, pages
2019. , p. 68
Keywords [en]
numerical range, Gershgorin region, square matrix, spectrum
National Category
Mathematical Analysis Geometry Discrete Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-157661ISRN: LiTH-MAT-EX--2019/03--SEOAI: oai:DiVA.org:liu-157661DiVA, id: diva2:1326795
Subject / course
Applied Mathematics
Presentation
2019-06-13, Hopningspunkten, B-huset, Linköpings universitet, Åby, 13:00 (Swedish)
Supervisors
Examiners
Available from: 2019-06-20 Created: 2019-06-18 Last updated: 2019-06-20Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
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  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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