Date of Award:
5-1986
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Mathematics
Committee Chair(s)
LeRoy B. Beasley
Committee
LeRoy B. Beasley
Committee
Ernest Underwood
Committee
Russell Thompson
Abstract
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.
Checksum
268987a7726aab79a325f479a71c3887
Recommended Citation
Lee, Sang-Gu, "On the Generalizations of Gershgorin's Theorem" (1986). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6993.
https://digitalcommons.usu.edu/etd/6993
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