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Potential Stability of Matrix Sign Patterns

Hambric, Christopher
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.
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2018-04-01
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Undergraduate Honors Theses
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Shi, Junping
Campbell, Donald
Vinroot, Ryan
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Mathematics
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https://scholarworks.wm.edu/handle/internal/10560
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