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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Bibliographic Details
Main Author: Lee, Sang-Gu
Format: Others
Published: DigitalCommons@USU 1986
Subjects:
Online Access:https://digitalcommons.usu.edu/etd/6993
https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=8103&context=etd
Description
Summary: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.