POSITIVE-DEFINITE MATRICES OVER FINITE FIELDS
- Joshua Cooperb(Author),
- Erin Hannab(Author),
- ,
- bUniversity of South Carolina
Research Output: Contribution to journal Article Peer-review
Abstract
The study of positive-definite matrices has focused on Hermitian matrices, that is, square matrices with complex (or real) entries that are equal to their own conjugate transposes. In the classical setting, positive-definite matrices enjoy a multitude of equivalent definitions and properties. We investigate when a square, symmetric matrix with entries coming from a finite field can be called “positive-definite” and discuss which of the classical equivalences and implications carry over.
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Citations
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