Date of Award:
Master of Science (MS)
Mathematics and Statistics
LeRoy B. Beasley
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.
Lee, Sang-Gu, "On the Generalizations of Gershgorin's Theorem" (1986). All Graduate Theses and Dissertations. 6993.
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