Now showing items 1-2 of 2

    • Computing Matrix Canonical Forms of Ore Polynomials 

      Khochtali, Mohamed (University of Waterloo, 2017-05-01)
      We present algorithms to compute canonical forms of matrices of Ore polynomials while controlling intermediate expression swell. Given a square non-singular input matrix of Ore polynomials, we give an extension of the ...
    • Fast algorithms for computing with integer matrices: normal forms and applications 

      Birmpilis, Stavros (University of Waterloo, 2021-09-24)
      The focus of this thesis is on fundamental computational problems in exact integer linear algebra. Specifically, for a nonsingular integer input matrix A of dimension n, we consider problems such as linear system solving ...

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