On the Generalizations of Gershgorin's Theorem

This paper deals with generalization fo Gershgorin's theorem. This theorem is investigated and generalized in terms of contour integrals, directed graphs, convex analysis, and clock matrices. These results are shown to apply to some specified matrices such as stable and stochastic matrices and...

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Main Author:	Lee, Sang-Gu
Format:	Others
Published:	DigitalCommons@USU 1986
Subjects:	generalization Gershgorin Theorem contour integral directed graph convex analysis block matrix Mathematics
Online Access:	https://digitalcommons.usu.edu/etd/6993 https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=8103&context=etd

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spelling	ndltd-UTAHS-oai-digitalcommons.usu.edu-etd-81032019-10-13T05:28:15Z On the Generalizations of Gershgorin's Theorem Lee, Sang-Gu This paper deals with generalization fo Gershgorin's theorem. This theorem is investigated and generalized in terms of contour integrals, directed graphs, convex analysis, and clock matrices. These results are shown to apply to some specified matrices such as stable and stochastic matrices and some examples will show the relationship of eigenvalue inclusion regions among them. 1986-05-01T07:00:00Z text application/pdf https://digitalcommons.usu.edu/etd/6993 https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=8103&context=etd Copyright for this work is held by the author. Transmission or reproduction of materials protected by copyright beyond that allowed by fair use requires the written permission of the copyright owners. Works not in the public domain cannot be commercially exploited without permission of the copyright owner. Responsibility for any use rests exclusively with the user. For more information contact digitalcommons@usu.edu. All Graduate Theses and Dissertations DigitalCommons@USU generalization Gershgorin Theorem contour integral directed graph convex analysis block matrix Mathematics
collection	NDLTD
format	Others
sources	NDLTD
topic	generalization Gershgorin Theorem contour integral directed graph convex analysis block matrix Mathematics
spellingShingle	generalization Gershgorin Theorem contour integral directed graph convex analysis block matrix Mathematics Lee, Sang-Gu On the Generalizations of Gershgorin's Theorem
description	This paper deals with generalization fo Gershgorin's theorem. This theorem is investigated and generalized in terms of contour integrals, directed graphs, convex analysis, and clock matrices. These results are shown to apply to some specified matrices such as stable and stochastic matrices and some examples will show the relationship of eigenvalue inclusion regions among them.
author	Lee, Sang-Gu
author_facet	Lee, Sang-Gu
author_sort	Lee, Sang-Gu
title	On the Generalizations of Gershgorin's Theorem
title_short	On the Generalizations of Gershgorin's Theorem
title_full	On the Generalizations of Gershgorin's Theorem
title_fullStr	On the Generalizations of Gershgorin's Theorem
title_full_unstemmed	On the Generalizations of Gershgorin's Theorem
title_sort	on the generalizations of gershgorin's theorem
publisher	DigitalCommons@USU
publishDate	1986
url	https://digitalcommons.usu.edu/etd/6993 https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=8103&context=etd
work_keys_str_mv	AT leesanggu onthegeneralizationsofgershgorinstheorem
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On the Generalizations of Gershgorin's Theorem

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