Date Thesis Awarded

5-2016

Access Type

Honors Thesis -- Access Restricted On-Campus Only

Degree Name

Bachelors of Science (BS)

Department

Mathematics

Advisor

Charles Johnson

Committee Members

Ryan Vinroot

Marc Sher

Abstract

Hence, we explore how the normality of a complex matrix relates to its graph. In particular, our focus is upon how the graph structure can simplify the relations among entries that characterize normality. We begin by observing what it means to be normal for a matrix subordinate to a tree, and then generalize the results to 34 - graphs. A key issue is the relation between absolute symmetry and normality. Real normal matrices are also considered.

Recommended Citation

Turnansky, Morrison, "Normal Matrices Subordinate to a Graph" (2016). Undergraduate Honors Theses. William & Mary. Paper 957.
https://scholarworks.wm.edu/honorstheses/957