Browsing University of Waterloo by Subject "Matrix Normal Forms"
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Computational Approaches to Problems in Noncommutative Algebra -- Theory, Applications and Implementations
(University of Waterloo, 2016-09-28)Noncommutative rings appear in several areas of mathematics. Most prominently, they can be used to model operator equations, such as differential or difference equations. In the Ph.D. studies leading to this thesis, ... -
Hermite Forms of Polynomial Matrices
(University of Waterloo, 2011-08-23)This thesis presents a new algorithm for computing the Hermite form of a polynomial matrix. Given a nonsingular n by n matrix A filled with degree d polynomials with coefficients from a field, the algorithm computes the ...