Date Thesis Awarded
4-2018
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Junping Shi
Committee Members
Donald Campbell
Ryan Vinroot
Abstract
The topic of matrix stability is very important for determining the stability of solutions to systems of differential equations. We examine several problems in the field of matrix stability, including minimal conditions for a $7\times7$ matrix sign pattern to be potentially stable, and applications of sign patterns to the study of Turing instability in the $3\times3$ case. Furthermore, some of our work serves as a model for a new method of approaching similar problems in the future.
Recommended Citation
Hambric, Christopher, "Potential Stability of Matrix Sign Patterns" (2018). Undergraduate Honors Theses. William & Mary. Paper 1183.
https://scholarworks.wm.edu/honorstheses/1183
