Hermite Forms of Polynomial Matrices
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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 Hermite form of A in expected number of field operations similar to that of matrix multiplication. The algorithm is randomized of the Las Vegas type.
Cite this work
Somit Gupta (2011). Hermite Forms of Polynomial Matrices. UWSpace. http://hdl.handle.net/10012/6108