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On The Generalizations Of Gershgorin's Theorem, Sang-Gu Lee
On The Generalizations Of Gershgorin's Theorem, Sang-Gu Lee
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
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.