Date of Award
Master of Science (MS)
Mathematics and Statistics
Dr. Frank J. Hall
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.
Marsli, Rachid, "Geršgorin Discs and Geometric Multiplicity" (2012). Mathematics Theses. Paper 122.
Available for download on Tuesday, November 26, 2013