Date of Award
Fall 11-9-2012
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Dr. Frank J. Hall
Abstract
If A is an nxn complex matrix and λ is an eigenvalue of A with geometric multiplicity k, then λ is in at least k of the Geršgorin discs Di of A.
Let k, r, t be positive integers with k ≤ r ≤ t. Then there is a txt complex matrix A and an eigenvalue λ of A such that λ has geometric multiplicity k and algebraic multiplicity t, and λ is in precisely r Geršgorin Discs of A. Some examples and related results are also provided.
Recommended Citation
Marsli, Rachid, "Geršgorin Discs and Geometric Multiplicity" (2012). Mathematics Theses. Paper 122.
http://digitalarchive.gsu.edu/math_theses/122